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Optimal output-feedback control and separation principle for Markov jump linear systems modeling wireless networked control scenarios (extended version) [article]

Anastasia Impicciatore, Yuriy Zacchia Lun, Pierdomenico Pepe, Alessandro D'Innocenzo
2021 arXiv   pre-print
output feedback control problem, and we derive a separation principle for the aforementioned wireless networked control scenario.  ...  While the problems of state feedback optimal control and stabilizability conditions for systems with one time-step delay mode observations of the actuation link have been already solved, we study the optimal  ...  CONCLUSION In this paper we considered the application of Markov jump linear systems to wireless networked control scenarios.  ... 
arXiv:2103.08992v3 fatcat:q5te72h7dralzfpurtt3rxp4yi

2009 Index IEEE Transactions on Automatic Control Vol. 54

2009 IEEE Transactions on Automatic Control  
., +, TAC Feb. 2009 399-403 Output Feedback Stabilization of Networked Control Systems With Random Delays Modeled by Markov Chains.  ...  D., +, TAC Sept. 2009 2260-2266 Output Feedback Stabilization of Networked Control Systems With Random Delays Modeled by Markov Chains.  ...  Hopper. 1779 -1793 Time-Optimal Path Tracking for Robots: A Convex Optimization Approach.  ... 
doi:10.1109/tac.2009.2037798 fatcat:4ilhkzss6jc63ersjzi47hiwgu

2014 Index IEEE Transactions on Automatic Control Vol. 59

2014 IEEE Transactions on Automatic Control  
., +, TAC March 2014 804-808 Output Regulation for Control Systems on : A Separation Principle Based Approach.  ...  ., +, TAC Jan. 2014 199-204 Output Regulation for Control Systems on : A Separation Principle Based Approach.  ... 
doi:10.1109/tac.2014.2382720 fatcat:jah5kqkafvejrd7xpvyikmi53e

2013 Index IEEE Transactions on Automatic Control Vol. 58

2013 IEEE Transactions on Automatic Control  
., and Shroff, N. B  ...  ., +, TAC Nov. 2013 2803-2817 Internal Model Principle for Linear Systems With Periodic State Jumps.  ...  ., +, TAC Nov. 2013 2934-2939 Dissipativity-Based Sliding Mode Control of Switched Stochastic Systems. Internal Model Principle for Linear Systems With Periodic State Jumps.  ... 
doi:10.1109/tac.2013.2295962 fatcat:3zpqog4r4nhoxgo4vodx4sj3l4

2019 Index IEEE Transactions on Automatic Control Vol. 64

2019 IEEE Transactions on Automatic Control  
., +, TAC May 2019 2037-2044 A Principled Approximation Framework for Optimal Control of Semi-Markov Jump Linear Systems.  ...  ., +, TAC July 2019 3005-3012 A Principled Approximation Framework for Optimal Control of Semi-Markov Jump Linear Systems.  ... 
doi:10.1109/tac.2020.2967132 fatcat:o2hd2t4jz5fbpkcemjt5aj7xrm

2015 Index IEEE Transactions on Automatic Control Vol. 60

2015 IEEE Transactions on Automatic Control  
., +, TAC March 2015 759-774 Cost optimal control A Detector-Based Approach for the Control of Markov Jump Linear Systems With Partial Information.  ...  ., +, TAC Jan. 2015 179-185 A Detector-Based Approach for the Control of Markov Jump Linear Systems With Partial Information.  ... 
doi:10.1109/tac.2015.2512305 fatcat:5gut6qeomfh73fwfvehzujbr5q

Separation principle for networked control systems with multiple-packet transmission

D. Wu, J. Wu, S. Chen
2011 IET Control Theory & Applications  
The authors first propose and prove the separation principle for the NCSs where packet dropouts in the C/A and S/C channels are governed by two independent Markov chains, respectively.  ...  Secondly, the authors derive a sufficient condition, in terms of linear matrix inequalities (LMIs), for stabilisation control of the Markov chain-driven NCSs.  ...  The separation principle has been widely used in optimal control and estimation problems, such as the linear quadratic Gaussian (LQG) optimal control [2] .  ... 
doi:10.1049/iet-cta.2009.0436 fatcat:g6fae2fjkbfnzmb3t2o3mnq5eq

Full Information H2 Control of Borel-Measurable Markov Jump Systems with Multiplicative Noises

Hongji Ma, Yang Wang
2021 Mathematics  
This paper addresses an H2 optimal control problem for a class of discrete-time stochastic systems with Markov jump parameter and multiplicative noises.  ...  Moreover, under the condition that full information of the system state is accessible to measurement, an H2 dynamic optimal control problem is shown to be solved by a zero-order stabilizing feedback controller  ...  Based on the accessible information of output variable, the optimal H 2 controller is obtained via an optimal filter, which produces a separation principle for the concerned dynamics.  ... 
doi:10.3390/math10010037 fatcat:syrj2znqazejtktqwqutxyyisa

Compositional Modeling and Analysis of Multi-Hop Control Networks

Rajeev Alur, Alessandro D'Innocenzo, Karl H. Johansson, George J. Pappas, Gera Weiss
2011 IEEE Transactions on Automatic Control  
We propose a mathematical framework for modeling and analyzing multi-hop control networks designed for systems consisting of multiple control loops closed over a multi-hop (wireless) communication network  ...  We separate control, topology, routing, and scheduling and propose formal syntax and semantics for the dynamics of the composed system, providing an explicit translation of multi-hop control networks to  ...  McLaughlin, and A. Chernoguzov for interesting discussions on WirelessHART and ISA 100 protocols.  ... 
doi:10.1109/tac.2011.2163873 fatcat:yz3wp5zd45fjfcoufsc2t2pvpi

Wireless Network Design for Control Systems: A Survey [article]

Pangun Park, Sinem Coleri Ergen, Carlo Fischione, Chenyang Lu, Karl Henrik Johansson
2017 arXiv   pre-print
In this survey, we make an exhaustive review of the literature on wireless network design and optimization for WNCS.  ...  Finally, we present the state-of-the-art wireless network design and optimization for WNCS, while highlighting the tradeoff between the achievable performance and complexity of various approaches.  ...  Control System Requirement Various technical approaches such as hybrid system, Markov jump linear system, and time-delay system are used to analyze the stability of NCSs for different network assumptions  ... 
arXiv:1708.07353v1 fatcat:wrnmrb6pevcuhk75rjldqxjpui

A Probabilistic Characterization of Random and Malicious Communication Failures in Multi-Hop Networked Control [article]

Ahmet Cetinkaya, Hideaki Ishii, Tomohisa Hayakawa
2018 arXiv   pre-print
The control problem of a linear discrete-time dynamical system over a multi-hop network is explored.  ...  We obtain a sufficient condition for the stability of the networked control system by utilizing our probabilistic approach.  ...  ., “Optimal robust control and a separation principle for polytopic time-inhomogeneous Markov jump linear systems,” in Proc. IEEE Conf. Dec. Contr., pp. 6525–6530, 2017. [37] A.  ... 
arXiv:1711.06855v3 fatcat:kraef7mnfvhfbj5heg4hlray3q

Deep Reinforcement Learning for Event-Triggered Control [article]

Dominik Baumann and Jia-Jie Zhu and Georg Martius and Sebastian Trimpe
2018 arXiv   pre-print
These frameworks are often based on a mathematical model of the system and specific designs of controller and event trigger.  ...  We validate the approach on multiple control tasks and compare it to model-based event-triggering frameworks.  ...  INTRODUCTION In modern engineering systems, feedback loops are often closed over (wired or wireless) communication networks [1] , [2] .  ... 
arXiv:1809.05152v1 fatcat:jbagfw2innedlp5br4hdbc5w4u

Introduction and Motivation [chapter]

G. George Yin, Chao Zhu
2009 Stochastic Modelling and Applied Probability  
In addition, there have been increasing demands for modeling large-scale and complex systems, designing optimal controls, and conducting optimization tasks.  ...  There has been continuing interest in dealing with hybrid systems under a Markov switching. In [123], stabilization for robust controls of jump linear quadratic (LQ) control problems was treated.  ... 
doi:10.1007/978-1-4419-1105-6_1 fatcat:be6gvxtadjcw3m55rxyn52hrte

Intelligent Reflecting Surface Configurations for Smart Radio Using Deep Reinforcement Learning [article]

Wei Wang, Wei Zhang
2022 arXiv   pre-print
IRS and the wireless communication system.  ...  We firstly model the control of IRS as a Markov decision process (MDP) and apply deep reinforcement learning (DRL) to perform real-time coarse phase control of IRS.  ...  . • We model the control of IRS as a Markov decision process (MDP) and then apply DRL, specifically, double deep Q-network (DDQN) method, to perform real-time coarse phase control of IRS.  ... 
arXiv:2205.05269v1 fatcat:op6bfjgvjvbgrahoutgfpf5tca

Edge Computing Resource Allocation for Dynamic Networks: The DRUID-NET Vision and Perspective

Dimitrios Dechouniotis, Nikolaos Athanasopoulos, Aris Leivadeas, Nathalie Mitton, Raphaël M. Jungers, Symeon Papavassiliou
2020 Sensors  
Several key challenges should be addressed to optimally and jointly exploit the network, computing, and storage resources, guaranteeing at the same time feasibility for time-critical and mission-critical  ...  It includes analytic dynamical modeling of the resources, offered workload, and networking environment, incorporating phenomena typically met in wireless communications and mobile edge computing, together  ...  Acknowledgments: Nikolaos Athanasopoulos, Aris Leivadeas, Nathalie Mitton, and Raphael Jungers are partially supported by the CHIST-ERA-2018-DRUID-NET project.  ... 
doi:10.3390/s20082191 pmid:32294937 pmcid:PMC7218846 fatcat:j3hbgmgaarcpjegnnaqq4oq6ei
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