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Algorithms for improved fixed-time performance of Lyapunov-based economic model predictive control of nonlinear systems

Mohsen Heidarinejad, Jinfeng Liu, Panagiotis D. Christofides
<span title="">2013</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/3zt33cshi5bxle5rzyv55b5txa" style="color: black;">Journal of Process Control</a> </i> &nbsp;
This work presents algorithms for improved fixed-time performance of Lyapunov-based economic model predictive control (LEMPC) of nonlinear systems.  ...  Unlike conventional Lyapunov-based model predictive control (LMPC) schemes which typically utilize a quadratic cost function and regulate a process at a steady-state, LEMPC designs very often dictate time-varying  ...  closed-loop performance comparison based on the economic cost of Eq. (34) and the initial states inFig. 6.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jprocont.2012.11.003">doi:10.1016/j.jprocont.2012.11.003</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/erwzgg257ve4dlacraldslwqcm">fatcat:erwzgg257ve4dlacraldslwqcm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808055812/http://pdclab.seas.ucla.edu/publications/mheidarinejad/heidarinejad_2013_algorithms_for_improved_fixed_time_performance_of_empc.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/88/80/88807ecde391fd8237000179a5b5e1b613be3f6a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jprocont.2012.11.003"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Model Predictive Control of a Nonlinear Large-Scale Process Network Used in the Production of Vinyl Acetate

TungSheng Tu, Matthew Ellis, Panagiotis D. Christofides
<span title="2013-03-27">2013</span> <i title="American Chemical Society (ACS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nzlai5ynpvgahnyzfost6xty5q" style="color: black;">Industrial &amp; Engineering Chemistry Research</a> </i> &nbsp;
Simulations are carried out to study the economic performance of the closed-loop system under LMPC and under LEMPC formulated with the proposed economic measure.  ...  In this work, we focus on the development and application of two Lyapunov-based model predictive control (LMPC) schemes to a large-scale nonlinear chemical process network used in the production of vinyl  ...  In contrast, a design of economic model predictive control (EMPC) using Lyapunov-based techniques (LEMPC) is able to optimize closed-loop performance with guaranteed stability with respect to general economic  ... 
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Economic model predictive control of nonlinear process systems using empirical models

Anas Alanqar, Matthew Ellis, Panagiotis D. Christofides
<span title="2014-11-28">2014</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/joaupsbqrfdtzd2cc5s3iygkay" style="color: black;">AIChE Journal</a> </i> &nbsp;
Motivated by this, in the present work, Lyapunov-based economic model predictive control (LEMPC) is designed with an empirical model that allows for closed-loop stability guarantees in the context of nonlinear  ...  LEMPC scheme based on the empirical model are derived.  ...  After extensive closed-loop simulations under the Lyapunov-based controller and under the LEMPC designed on the basis of the Lyapunov-based controller h(x) and with the model of Eq. 4.4, the level sets  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/aic.14683">doi:10.1002/aic.14683</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7jvj5w3n5ff7vak4ngd2uucuyu">fatcat:7jvj5w3n5ff7vak4ngd2uucuyu</a> </span>
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Economic model predictive control designs for input rate-of-change constraint handling and guaranteed economic performance

Helen Durand, Matthew Ellis, Panagiotis D. Christofides
<span title="">2016</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/u3s73v5btvfqjfntuhxfqyeema" style="color: black;">Computers and Chemical Engineering</a> </i> &nbsp;
Specifically, we develop input rate-of-change constraints that can be incorporated in Lyapunov-based EMPC (LEMPC) that ensure controller feasibility and closed-loop stability.  ...  Economic model predictive control (EMPC) has been a popular topic in the recent chemical process control literature due to its potential to improve process profit by operating a system in a time-varying  ...  Economic Model Predictive Control This work develops a formulation for an optimization-based control strategy known as economic model predictive control (EMPC) with constraints guaranteeing closed-loop  ... 
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Data Driven Economic Model Predictive Control

Masoud Kheradmandi, Prashant Mhaskar
<span title="2018-04-02">2018</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ye33srllvnanjouxn4tmrfgjsq" style="color: black;">Mathematics</a> </i> &nbsp;
This manuscript addresses the problem of data driven model based economic model predictive control (MPC) design.  ...  Simulation results are first presented demonstrating closed-loop stability under the proposed data-driven Lyapunov-based MPC.  ...  Acknowledgments: Financial support from the McMaster Advanced Control Consortium (MACC) is gratefully acknowledged.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/math6040051">doi:10.3390/math6040051</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/37qoyniwlzcs7ojnbp4kpputfy">fatcat:37qoyniwlzcs7ojnbp4kpputfy</a> </span>
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Smart manufacturing: Handling preventive actuator maintenance and economics using model predictive control

Liangfeng Lao, Matthew Ellis, Panagiotis D. Christofides
<span title="2014-03-11">2014</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/joaupsbqrfdtzd2cc5s3iygkay" style="color: black;">AIChE Journal</a> </i> &nbsp;
Closed-loop stability under the proposed LEMPC is proven.  ...  An economic model predictive control (EMPC) scheme is proposed that effectively integrates scheduled preventive control actuator maintenance, process economics, and process control into a unified methodology  ...  Figure 6 . 6 The effect of the prediction horizon on closed-loop economic performance under LEMPC.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/aic.14427">doi:10.1002/aic.14427</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/u3yhiasabzanlfl2sglbfrvbfq">fatcat:u3yhiasabzanlfl2sglbfrvbfq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170830062905/http://smartmanufacturingproject.com/wp-content/uploads/EMPCFTC-Smart-Manufacturing-Handling-Preventive-Actuator.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/b5/77/b57793cd9580b1d811b36f6391553a2b9cf6f521.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/aic.14427"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> wiley.com </button> </a>

Elucidation of the role of constraints in economic model predictive control

Matthew Ellis, Helen Durand, Panagiotis D. Christofides
<span title="">2016</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/7q5x2aosp5a55jied5vd5jba6m" style="color: black;">Annual Reviews in Control</a> </i> &nbsp;
Economic model predictive control (EMPC) is a predictive feedback control methodology that unifies economic optimization and control.  ...  In particular, the role of constraints imposed in the optimization problem of EMPC for feasibility, closed-loop stability, and closed-loop performance is explained.  ...  The closed-loop economic performance under LEMPC can be proven to be at least as good as the closed-loop economic performance under the auxiliary stabilizing controller on both the finite-time and Figure  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.arcontrol.2016.04.004">doi:10.1016/j.arcontrol.2016.04.004</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/suiad37azfdlnd7fbswcors3de">fatcat:suiad37azfdlnd7fbswcors3de</a> </span>
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Distributed economic MPC: Application to a nonlinear chemical process network

Xianzhong Chen, Mohsen Heidarinejad, Jinfeng Liu, Panagiotis D. Christofides
<span title="">2012</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/3zt33cshi5bxle5rzyv55b5txa" style="color: black;">Journal of Process Control</a> </i> &nbsp;
In the present work, we focus on the development and application of Lyapunov-based economic model predictive control (LEMPC) designs to a catalytic alkylation of benzene process network, which consists  ...  Using the proposed method, economic, distributed as well as centralized, model predictive control systems are designed and are implemented on the process to drive the closed-loop system state close to  ...  The closed-loop performance and time needed for control action calculation are evaluated through simulations and compared with the ones of a centralized Lyapunovbased model predictive control design, which  ... 
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Economic model predictive control of switched nonlinear systems

Mohsen Heidarinejad, Jinfeng Liu, Panagiotis D. Christofides
<span title="">2013</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/b4jbqehv5vdltfaa3oor24oddm" style="color: black;">Systems &amp; control letters (Print)</a> </i> &nbsp;
We focus on the development of a Lyapunov-based economic model predictive control (LEMPC) method for a class of switched nonlinear systems for which the mode transitions take place according to a prescribed  ...  function which may directly address economic considerations and may lead to time-varying closed-loop operation.  ...  Thus, LEMPC closed-loop performance is lower bounded by the closed-loop performance of the set of Lyapunov-based controllers corresponding to different switching modes. Remark 6.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.sysconle.2012.11.002">doi:10.1016/j.sysconle.2012.11.002</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/nvlsbczwyrbwfjnzadsez7e3hy">fatcat:nvlsbczwyrbwfjnzadsez7e3hy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808163327/http://pdclab.seas.ucla.edu/Publications/MHeidarinejad/heidarinejad_liu_christofides_2013.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/51/00/510045dff414858c6d3d1200f55ac5347bffad22.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.sysconle.2012.11.002"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Economic model predictive control with time-varying objective function for nonlinear process systems

Matthew Ellis, Panagiotis D. Christofides
<span title="2013-11-08">2013</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/joaupsbqrfdtzd2cc5s3iygkay" style="color: black;">AIChE Journal</a> </i> &nbsp;
Economic model predictive control (EMPC) is a control scheme that combines real-time dynamic economic process optimization with the feedback properties of model predictive control (MPC) by replacing the  ...  In the present work, we focus on the development of a Lyapunov-based EMPC (LEMPC) scheme that is formulated with an explicitly time-varying economic cost function.  ...  The latter claim is guaranteed by the closed-loop stability properties of the Lyapunov-based controller hðx; x s Þ.  ... 
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Lyapunov-based economic model predictive control of nonlinear systems

Mohsen Heidarinejad, Jinfeng Liu, Panagiotis D. Christofides
<span title="">2011</span> <i title="IEEE"> Proceedings of the 2011 American Control Conference </i> &nbsp;
In this work, we focus on a class of general nonlinear systems and design a model predictive control (MPC) scheme which is capable of optimizing closed-loop performance with respect to general economic  ...  The proposed MPC is designed via Lyapunov-based techniques and has two different operation modes.  ...  We denote the region Ω ρ ⊆ D as the stability region of the closed-loop system under the Lyapunov-based controller h(x).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/acc.2011.5991166">doi:10.1109/acc.2011.5991166</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5otjk2jdefcsfnlw3tfa2b5uaa">fatcat:5otjk2jdefcsfnlw3tfa2b5uaa</a> </span>
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State-estimation-based economic model predictive control of nonlinear systems

Mohsen Heidarinejad, Jinfeng Liu, Panagiotis D. Christofides
<span title="">2012</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/b4jbqehv5vdltfaa3oor24oddm" style="color: black;">Systems &amp; control letters (Print)</a> </i> &nbsp;
In this work, we focus on a class of nonlinear systems and design an estimator-based economic model predictive control (MPC) system which is capable of optimizing closed-loop performance with respect to  ...  We use a chemical process example to demonstrate the ability of the state-estimation-based economic MPC to achieve process time-varying operation that leads to a superior cost performance metric compared  ...  Also, we performed a set of simulations to compare LEMPC with the Lyapunov-based controller from an economic closed-loop performance point of view for operation over two consecutive one hour periods (i.e  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.sysconle.2012.06.007">doi:10.1016/j.sysconle.2012.06.007</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rdgm5mz2vjh6dg6huj6fj6kvle">fatcat:rdgm5mz2vjh6dg6huj6fj6kvle</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20141021045222/http://pdclab.seas.ucla.edu:80/Publications/MHeidarinejad/1-s2.0-S0167691112001235-main.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/06/64/066438008abb3a8b88480d66a84896f5dd930152.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.sysconle.2012.06.007"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Economic model predictive control of nonlinear singularly perturbed systems

Matthew Ellis, Mohsen Heidarinejad, Panagiotis D. Christofides
<span title="">2013</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/3zt33cshi5bxle5rzyv55b5txa" style="color: black;">Journal of Process Control</a> </i> &nbsp;
We focus on the development of a Lyapunov-based economic model predictive control (LEMPC) method for nonlinear singularly perturbed systems in standard form arising naturally in the modeling of twotime-scale  ...  the closed-loop system.  ...  Consider the slow subsystem of Eq. (4) in closed-loop under the LEMPC design of Eqs. (26) and (27) based on a controller h s (·) that satisfies the conditions of Eq. (7).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jprocont.2013.03.001">doi:10.1016/j.jprocont.2013.03.001</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wiabnaqq4ncpdomsmojsqe3o2u">fatcat:wiabnaqq4ncpdomsmojsqe3o2u</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808055920/http://pdclab.seas.ucla.edu/Publications/MEllis/Ellis2013743.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/c1/f9/c1f984bd750433f6bbf4667282086e84970ac4ae.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jprocont.2013.03.001"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Economic Machine-Learning-Based Predictive Control of Nonlinear Systems

Zhe Wu, Panagiotis D. Christofides
<span title="2019-06-01">2019</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ye33srllvnanjouxn4tmrfgjsq" style="color: black;">Mathematics</a> </i> &nbsp;
In this work, a Lyapunov-based economic model predictive control (LEMPC) method is developed to address economic optimality and closed-loop stability of nonlinear systems using machine learning-based models  ...  Then, the LEMPC using an RNN ensemble is designed to maintain the closed-loop state in a stability region and optimize process economic benefits simultaneously.  ...  Specifically, a Lyapunov-based controller based on the RNN model is first developed using the universal Sontag control law ( [21] ) since the RNN model of Equation (4) can be represented byẋ =f (x)  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/math7060494">doi:10.3390/math7060494</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lewiheiixfg6pbyhccb635vy6q">fatcat:lewiheiixfg6pbyhccb635vy6q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200213232358/https://pdfs.semanticscholar.org/6ba7/e2c131c5c9d70152187c7734656579d08a04.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/6b/a7/6ba7e2c131c5c9d70152187c7734656579d08a04.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/math7060494"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>

Economic model predictive control of nonlinear process systems using Lyapunov techniques

Mohsen Heidarinejad, Jinfeng Liu, Panagiotis D. Christofides
<span title="2011-05-31">2011</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/joaupsbqrfdtzd2cc5s3iygkay" style="color: black;">AIChE Journal</a> </i> &nbsp;
In this work, we develop model predictive control (MPC) designs, which are capable of optimizing closed-loop performance with respect to general economic considerations for a broad class of nonlinear process  ...  In this operation mode, suitable Lyapunov-based constraints are incorporated in the economic MPC design to guarantee that the closed-loop system state is always bounded in the predefined stability region  ...  We denote the region X q ( O as the stability region of the closed-loop system under the Lyapunov-based controller h(x).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/aic.12672">doi:10.1002/aic.12672</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2edkgrrdyvdbpl4lw63yozfcqq">fatcat:2edkgrrdyvdbpl4lw63yozfcqq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170810071646/http://pdclab.seas.ucla.edu/Publications/MHeidarinejad/12672_ftp.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/57/48/57486f4ad7a4edc37cb7d888ce66ef39dbcfdf30.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/aic.12672"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> wiley.com </button> </a>
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