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Infinite-Horizon Differentiable Model Predictive Control [article]

Sebastian East, Marco Gallieri, Jonathan Masci, Jan Koutnik, Mark Cannon
<span title="2020-01-07">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
This paper proposes a differentiable linear quadratic Model Predictive Control (MPC) framework for safe imitation learning.  ...  The infinite-horizon cost is enforced using a terminal cost function obtained from the discrete-time algebraic Riccati equation (DARE), so that the learned controller can be proven to be stabilizing in  ...  ACKNOWLEDGMENTS The authors are grateful to Brandon Amos for providing support using his differentiable QP tool (https://github.com/locuslab/optnet) in the preliminary work for this project (all of the  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2001.02244v1">arXiv:2001.02244v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yns5l7dnwzg47al36tuewewj5m">fatcat:yns5l7dnwzg47al36tuewewj5m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200321040704/https://arxiv.org/pdf/2001.02244v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2001.02244v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Page 7249 of Mathematical Reviews Vol. , Issue 2003i [page]

<span title="">2003</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
The quasi-infinite horizon approach is one of the main techniques in nonlinear model predictive control.  ...  It can overcome some shortcomings of both finite horizon predictive control and infinite horizon pre- dictive control and has been increasingly used in nonlinear model predictive control.  ... 
<span class="external-identifiers"> </span>
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MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations [chapter]

Peter Benner, Sabine Hein
<span title="">2013</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/kss7mrolvja63k4rmix3iynkzi" style="color: black;">IFIP Advances in Information and Communication Technology</a> </i> &nbsp;
We provide a theoretical framework for model predictive control of infinite-dimensional systems, like, e.g., nonlinear parabolic PDEs, including stochastic disturbances of the input signal, the output  ...  The necessary theory for implementing the MPC step based on an LQG design for infinite-dimensional linear time-invariant systems is presented.  ...  Solving the AREs (3) and (4) yields an LQG controller for an infinite time-horizon. Therefore, we can also consider this scheme as an MPC scheme with infinite prediction and optimization horizon.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-36062-6_22">doi:10.1007/978-3-642-36062-6_22</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kzz3w2k6qbdcba3pq6u4kvwh4y">fatcat:kzz3w2k6qbdcba3pq6u4kvwh4y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190308145415/http://pdfs.semanticscholar.org/f4e0/629fd88eaf352396fd2977e540be410eb71b.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f4/e0/f4e0629fd88eaf352396fd2977e540be410eb71b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-36062-6_22"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Unconstrained Nonlinear Model Predictive Control and Suboptimality Estimates for Continuous-Time Systems

Marcus Reble, Frank Allgöwer
<span title="">2011</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p3wtlm3j2fedxitkuu4bs3scau" style="color: black;">IFAC Proceedings Volumes</a> </i> &nbsp;
Based on a controllability assumption and a corresponding infinite-dimensional optimization problem, performance estimates and stability conditions are derived in terms of the prediction horizon and the  ...  This paper presents a continuous-time version of recent results on unconstrained nonlinear model predictive control (MPC) schemes.  ...  In MPC, a infinite horizon optimal control problem is approximated by a sequence of finite horizon problems in a receding horizon fashion.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20110828-6-it-1002.00609">doi:10.3182/20110828-6-it-1002.00609</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7zn5ddzxifgslassqolsn6qmm4">fatcat:7zn5ddzxifgslassqolsn6qmm4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170830083408/http://folk.ntnu.no/skoge/prost/proceedings/ifac11-proceedings/data/html/papers/0609.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f8/e5/f8e51dc434b49acd20fb5ac69bad99f828463b3c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20110828-6-it-1002.00609"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

On the control and stability of variable-order mechanical systems

J. Orosco, C. F. M. Coimbra
<span title="2016-06-30">2016</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/bp2tddjt2rgfzjsh5xjcsidupm" style="color: black;">Nonlinear dynamics</a> </i> &nbsp;
A model-predictive method is presented for the development of a timevarying nominal control signal generating a desirable nominal state trajectory in the finite temporal horizon.  ...  This work investigates the control and stability of nonlinear mechanics described by a system of variable-order (VO) differential equations.  ...  Infinite horizon In the infinite horizon, the solution, X = X (τ ), can be obtained by solving the differential Riccati equation for τ → ∞.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11071-016-2916-9">doi:10.1007/s11071-016-2916-9</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/iqhvw2jlonephk745n4pwtvq2q">fatcat:iqhvw2jlonephk745n4pwtvq2q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190309094756/http://pdfs.semanticscholar.org/f74f/612eba61a4536efeba915835eea1aa06a4f1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f7/4f/f74f612eba61a4536efeba915835eea1aa06a4f1.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11071-016-2916-9"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Real-Time Receding-Horizon Control Algorithm for Nonlinear Systems

Toshiyuki OHTSUKA, Hironori A. FUJII
<span title="">1997</span> <i title="The Society of Instrument and Control Engineers"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2phyh6hw5vckxnkzptkaisrmki" style="color: black;">Transactions of the Society of Instrument and Control Engineers</a> </i> &nbsp;
A state feedback control law is determined so that a receding-horizon performance index is minimized.  ...  Computation of the control input is equivalent to solving a family of optimal control problems with a varying initial state in the real time, for which the stabilized continuation method is applicable.  ...  to of the model predictive control10) in the sense that the control performance is predicted and optimized over a finite interval in the future.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.9746/sicetr1965.33.1131">doi:10.9746/sicetr1965.33.1131</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/s43cho26ybfp5g4gzhnqmyvxlu">fatcat:s43cho26ybfp5g4gzhnqmyvxlu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20181030165645/https://www.jstage.jst.go.jp/article/sicetr1965/33/12/33_12_1131/_pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d0/5f/d05ff71ede1475c4ac1d6ef4bca9c496442827c1.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.9746/sicetr1965.33.1131"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Combined Feedforward/Model Predictive Tracking Control Design for Nonlinear Diffusion-Convection-Reaction-Systems [chapter]

Tilman Utz, Knut Graichen, Andreas Kugi
<span title="">2013</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/kss7mrolvja63k4rmix3iynkzi" style="color: black;">IFIP Advances in Information and Communication Technology</a> </i> &nbsp;
A receding horizon feedback control is added within a two-degreesof-freedom control scheme to account for disturbances, model inaccuracies, and input constraints.  ...  For this a suitable model-based feedforward control is determined that relies on the flatness-based parametrization of the control input.  ...  Receding horizon formulations in model predictive control often use terminal set or equality constraints to achieve stability.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-36062-6_30">doi:10.1007/978-3-642-36062-6_30</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qpbrgo2cgjbdlfsemcnbgu7mxu">fatcat:qpbrgo2cgjbdlfsemcnbgu7mxu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190219025056/http://pdfs.semanticscholar.org/14a9/b14296c397170113dda92136cd64976c9e1f.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/14/a9/14a9b14296c397170113dda92136cd64976c9e1f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-36062-6_30"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

A COMPARATIVE STUDY ON COMPUTATIONAL SCHEMES FOR NONLINEAR MODEL PREDICTIVE CONTROL

Vu Trieu Minh, Nitin Afzulpurkar
<span title="2008-10-22">2008</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/qcoh5xllgzfubn54l2x3faw2em" style="color: black;">Asian journal of control</a> </i> &nbsp;
This paper briefly reviews development of nonlinear model predictive control (NMPC) schemes for finite horizon prediction and basic computational algorithms that can solve the stable real-time implementation  ...  In order to ensure stability within a finite prediction horizon, most NMPC schemes use a terminal region constraint at the end of the prediction horizon ⎯ a particular NMPC scheme using a terminal region  ...  In this sense, the prediction horizon of the proposed nonlinear predictive controller expands quasi to infinity, hence, the name quasi-infinite horizon nonlinear MPC scheme.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1111/j.1934-6093.2006.tb00284.x">doi:10.1111/j.1934-6093.2006.tb00284.x</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/oyjm7ahruvgg5cso3bvnvl2xle">fatcat:oyjm7ahruvgg5cso3bvnvl2xle</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170705111213/http://www.ajc.org.tw/pages/PAPER/8.4PD/AC0804-P324-331-FR04098R.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/df/a9/dfa9aead845b82ac96d45f21554520f61eea9196.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1111/j.1934-6093.2006.tb00284.x"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

LEARNING-BASED MODEL PREDICTIVE CONTROL FOR MARKOV DECISION PROCESSES

Rudy R. Negenborn, Bart De Schutter, Marco A. Wiering, Hans Hellendoorn
<span title="">2005</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p3wtlm3j2fedxitkuu4bs3scau" style="color: black;">IFAC Proceedings Volumes</a> </i> &nbsp;
We propose the use of Model Predictive Control (MPC) for controlling systems described by Markov decision processes. First, we consider a straightforward MPC algorithm for Markov decision processes.  ...  This speeds up the decision making, allows decisions to be made over an infinite instead of a finite horizon, and provides adequate control actions, even if the system and desired performance slowly vary  ...  ACKNOWLEDGMENTS This research was supported by project "Multi-agent control of large-scale hybrid systems" (DWV.6188) of the Dutch Technology Foundation STW, Applied Science division of NWO, the Technology  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20050703-6-cz-1902.00280">doi:10.3182/20050703-6-cz-1902.00280</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6v7vdwb5rnhjnm6eccoz2hxfwm">fatcat:6v7vdwb5rnhjnm6eccoz2hxfwm</a> </span>
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Multirate nonlinear predictive control

U. Halldorsson, M. Fikar, H. Unbehauen
<span title="">2002</span> <i title="IEEE"> Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301) </i> &nbsp;
This paper introduces a new approach to reduce the computational load of nonlinear model based predictive controllers.  ...  In this paper the multirate method is merged with the Quasi-Infinite Horizon Nonlinear Predictive Control scheme, based on augmenting the optimization problem with a terminal region condition and the objective  ...  It was possible to merge the Quasi-Infinite Horizon NMPC idea with the Multirate Control scheme to generate a stable Quasi-Infinite Horizon Multirate Control approach.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/acc.2002.1024589">doi:10.1109/acc.2002.1024589</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qrl75kwhyrf6bprn7qpa7yexsm">fatcat:qrl75kwhyrf6bprn7qpa7yexsm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20050429075304/http://www.kirp.chtf.stuba.sk:80/~fikar/research/mpc/02acc.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/53/4b/534b4cc98dcaa038c3bb945f6732f4f9f3de6704.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/acc.2002.1024589"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

A Quasi-Infinite Horizon Nonlinear Model Predictive Control Scheme with Guaranteed Stability∗∗This paper was not presented at any IFAC meeting. This paper was accepted for publication in revised form by Associate Editor W. Bequette under the direction of Editor Prof. S. Skogestad

H. CHEN, F. ALLGöWER
<span title="">1998</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/e5pgtxytlra45muqmfmoj6kvte" style="color: black;">Automatica</a> </i> &nbsp;
We present in this paper a novel nonlinear model predictive control scheme that guarantees asymptotic closedloop stability.  ...  Furthermore, the setup includes a terminal inequality constraint that forces the states at the end of the finite prediction horizon to lie within a prescribed terminal region.  ...  A QUASI-INFINITE HORIZON NONLINEAR MODEL PREDICTIVE CONTROL SCHEME The class of systems to be controlled is described by the following general nonlinear set of ordinary differential equations (ODEs): x  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0005-1098(98)00073-9">doi:10.1016/s0005-1098(98)00073-9</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mpz6e3qmvnezta73fm53iwhyp4">fatcat:mpz6e3qmvnezta73fm53iwhyp4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180127210454/http://een.iust.ac.ir:80/profs/Shamaghdari/MPC/Papers/NMPC/NMPC_Allgower.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/72/23/7223943b3ac645187177b3be1a61140d16da9a51.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0005-1098(98)00073-9"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Explicit-Model Predictive Control: A simulation based scalability study

Arun Gupta, Sharad Bhartiya, P.S.V. Nataraj
<span title="">2012</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p3wtlm3j2fedxitkuu4bs3scau" style="color: black;">IFAC Proceedings Volumes</a> </i> &nbsp;
Explicit-MPC problem formulation from a standard MPC (for finite and infinite prediction horizon) using multi parametric quadratic programming (mp-QP) is presented.  ...  The main impediment in the applicability of explicit model predictive control (e-MPC) is that the number of regions in the parametric space increases dramatically with an increase in the dimension of the  ...  horizon, p for both finite and infinite prediction horizon formulations.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20120710-4-sg-2026.00072">doi:10.3182/20120710-4-sg-2026.00072</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7beyfipnlrdfpgyuvuijj4t2k4">fatcat:7beyfipnlrdfpgyuvuijj4t2k4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170816073447/http://folk.ntnu.no/skoge/prost/proceedings/adchem-2012/files/0072.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/48/a3/48a3f31265c3d10be5a8a9a493ad024a4489f492.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20120710-4-sg-2026.00072"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Effects of sampling and horizon in predictive reinforcement learning [article]

Pavel Osinenko, Dmitrii Dobriborsci
<span title="2021-08-23">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
This is in contrast to classical control algorithms which are typically model-based. An direction of research is the fusion of RL with such algorithms, especially model-predictive control (MPC).  ...  In this paper, we investigate the effects of prediction horizon and sampling of two hybrid RL-MPC-agents in a case study with a mobile robot parking, which is in turn a canonical control problem.  ...  Currently, industry is dominated by classical control-theoretic methods such as model predictive control (MPC) [11] - [13] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2108.04802v2">arXiv:2108.04802v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/w5pcq5mqqvey3mklsqxati6d6e">fatcat:w5pcq5mqqvey3mklsqxati6d6e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210829182427/https://arxiv.org/pdf/2108.04802v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/39/3e/393ed898426e3039f464b85cb991c1382ca007f9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2108.04802v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

The Minimum Energy Building Temperature Control [chapter]

Marek Długosz
<span title="">2013</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/kss7mrolvja63k4rmix3iynkzi" style="color: black;">IFIP Advances in Information and Communication Technology</a> </i> &nbsp;
Using this method finally obtains mathematical model of temperature changes which model is equivalent in structure to electrical RCnetwork. The model is composed of linear differential equations.  ...  Based on this mathematical model the simple algorithm controlling of temperature inside room is proposed. In this article are also included numerical simulations of the proposed solutions.  ...  The infinite-horizon LQR controllers were chosen because: the control system is closed-loop system with negative feedback, simple structure of the infinite-horizon LQR controller (proportional controller  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-36062-6_47">doi:10.1007/978-3-642-36062-6_47</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ig3grt6hkzf4dmvqziol2bfg3m">fatcat:ig3grt6hkzf4dmvqziol2bfg3m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190220004225/http://pdfs.semanticscholar.org/1d33/510ff17df597f57e43fd6195f6974cd415b2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/1d/33/1d33510ff17df597f57e43fd6195f6974cd415b2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-36062-6_47"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Model predictive control formulation for a class of time-varying linear parabolic PDEs

James Ng, Ilyasse Aksikas, Stevan Dubljevic
<span title="">2011</span> <i title="IEEE"> Proceedings of the 2011 American Control Conference </i> &nbsp;
This paper considers the model predictive control (MPC) formulation for a class of discrete time-varying linear state-space model representations of parabolic partial differential equations (PDEs) with  ...  The MPC formulation is constructed for the low dimensional discrete finite-dimensional state space representation of the PDE system and constraints on input and infinite-dimensional state evolution are  ...  CONCLUSIONS In this paper, we considered the model predictive control of the discrete time-varying system representation of a class of linear partial differential equations with time-varying coefficients  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/acc.2011.5991009">doi:10.1109/acc.2011.5991009</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jztf6mhz25b3vawbbba737xr2q">fatcat:jztf6mhz25b3vawbbba737xr2q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170816052037/http://folk.ntnu.no/skoge/prost/proceedings/acc11/data/papers/1300.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/2a/99/2a9905089535009942a2a7a2c014ed2f7cc3cc42.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/acc.2011.5991009"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>
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