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Stabilizability of Markov jump linear systems modeling wireless networked control scenarios (extended version) [article]

Yuriy Zacchia Lun, Alessandro D'Innocenzo
2019 arXiv   pre-print
The WNCSs with missing packets can be modeled as Markov jump linear systems with one time-step delayed mode observations.  ...  The communication channels used to convey information between the components of wireless networked control systems (WNCSs) are subject to packet losses due to time-varying fading and interference.  ...  The networked control system using such communication channel can be modelled as Markov jump system in the following manner.  ... 
arXiv:1907.12403v2 fatcat:yq7hjvck6zdrtffhcnpfip6n3a

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.  ...  The communication channels used to convey information between the components of wireless networked control systems (WNCSs) are subject to packet losses due to time-varying fading and interference.  ...  CONCLUSION In this paper we considered the application of Markov jump linear systems to wireless networked control scenarios.  ... 
arXiv:2103.08992v3 fatcat:q5te72h7dralzfpurtt3rxp4yi

Stochastic maximum allowable transmission intervals for the stability of linear wireless networked control systems

Vineeth S. Varma, Romain Postoyan, Irinel-Constantin Morarescu, Jamal Daafouz
2017 2017 IEEE 56th Annual Conference on Decision and Control (CDC)  
We investigate the scenario where a plant, modeled as a linear deterministic discrete-time system, is controlled through a wireless communication network.  ...  This model is suitable when the wireless communication system has time-varying parameters.  ...  THE WNCS AS A MARKOV JUMP LINEAR SYSTEM In this section, we model the WNCS as a Markov jump linear system in order to then proceed with the stability analysis in Section V.  ... 
doi:10.1109/cdc.2017.8264658 dblp:conf/cdc/VarmaPMD17 fatcat:m6prcvk2jjdo7kkxwhrnv4llbe

2009 Index IEEE Transactions on Automatic Control Vol. 54

2009 IEEE Transactions on Automatic Control  
., +, H Filtering of Discrete-Time Markov Jump Linear Systems Through Linear Matrix Inequalities. Goncalves, A. P.  ...  ., +, TAC Feb. 2009 399-403 Output Feedback Stabilization of Networked Control Systems With Random Delays Modeled by Markov Chains.  ...  State Convergence of Passive Nonlinear Systems With an L Input.  ... 
doi:10.1109/tac.2009.2037798 fatcat:4ilhkzss6jc63ersjzi47hiwgu

2014 Index IEEE Transactions on Automatic Control Vol. 59

2014 IEEE Transactions on Automatic Control  
., +, TAC Feb. 2014 437-448 Stochastic Stability of Jump Discrete-Time Linear Systems With Markov Chain in a General Borel Space. Costa, O. L.  ...  ., +, TAC July 2014 1706-1721 Stochastic Stability of Jump Discrete-Time Linear Systems With Markov Chain in a General Borel Space. Costa, O. L.  ... 
doi:10.1109/tac.2014.2382720 fatcat:jah5kqkafvejrd7xpvyikmi53e

Energy-efficient time-triggered communication policies for wireless networked control systems

Vineeth Satheeskumar Varma, Andre Marcorin de Oliveira, Romain Postoyan, Irinel-Constantin Morarescu, Jamal Daafouz
2019 IEEE Transactions on Automatic Control  
We consider a plant, modeled as a deterministic discrete-time linear system, which is controlled through a wireless network by an output-feedback law.  ...  In this context, we present a novel approach to design energy-efficient time-triggered communication policies for wireless networked control systems, while ensuring a given control performance.  ...  The Markov jump linear model For the purpose of analysis, we first rewrite the model (11) with the power control law p(p),p ∈ P N,η as a Markov jump linear system (MJLS).  ... 
doi:10.1109/tac.2019.2953816 fatcat:mh4jhl7cljfs7exynd2bnqvtju

2013 Index IEEE Transactions on Automatic Control Vol. 58

2013 IEEE Transactions on Automatic Control  
., +, TAC Aug. 2013 2142-2148 Almost Sure Stability of Markov Jump Linear Systems With Deterministic Switching.  ...  ., +, TAC Sept. 2013 2176-2188 Almost Sure Stability of Markov Jump Linear Systems With Deterministic Switching.  ... 
doi:10.1109/tac.2013.2295962 fatcat:3zpqog4r4nhoxgo4vodx4sj3l4

Uniform stabilization of Markovian jump linear systems with logarithmic quantization - A convex approach

Chun Zhang, Geir E. Dullerud
2009 Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference  
In this paper, we investigate the almost sure uniform exponential stabilization problem of Markovian jump linear systems (MJLSs) with logarithmically quantized state feedbacks.  ...  As an example, we show that unform stabilization of a linear timeinvariant (LTI) system with quantized feedback over a lossy channel can be tackled under this framework.  ...  A main contribution of our work is to provide a systematic approach to model multiple channel constraints in a networked control system.  ... 
doi:10.1109/cdc.2009.5400361 dblp:conf/cdc/ZhangD09 fatcat:5q62vsg7rzdsxfzr2ayycqwaqu

2019 Index IEEE Transactions on Automatic Control Vol. 64

2019 IEEE Transactions on Automatic Control  
., +, TAC Dec. 2019 5183-5190 Hidden Markov models H 3 Control for 2-D Markov Jump Systems in Roesser Model.  ...  ., +, TAC March 2019 1228-1235 Controllability and Stabilizability of Networks of 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 Jan. 2015 179-185 A Detector-Based Approach for the Control of Markov Jump Linear Systems With Partial Information.  ...  ., +, TAC Sept. 2015 2446-2451 A Detector-Based Approach for the Control of Markov Jump Linear Systems With Partial Information.  ...  Quality of experience  ... 
doi:10.1109/tac.2015.2512305 fatcat:5gut6qeomfh73fwfvehzujbr5q

Network-Aware Design of State-Feedback Controllers for Linear Wireless Networked Control Systems

André M. de Oliveira, Vineeth S. Varma, Romain Postoyan, Irinel-Constantin Morǎrescu, Jamal Daafouz, Oswaldo L. V. Costa
2018 IFAC-PapersOnLine  
We model the overall closed-loop system as a Markov jump linear system and we first provide linear conditions for the stability of the wireless networked control systems in a mean-square sense.  ...  We study the problem of stabilizing the origin of a plant, modeled as a discretetime linear system, for which the communication with the controller is ensured by a wireless network.  ...  The overall system is modeled as a Markov jump linear system (MJLS), see, for instance, Costa et al. (2005) , in which each mode of operation models the dynamics since the last transmission instant as  ... 
doi:10.1016/j.ifacol.2018.08.035 fatcat:rcjp47x3a5gxfhsvvddh7jwn64

Predictive Network Control and Throughput Sub-Optimality of MaxWeight [article]

Richard Schoeffauer, Gerhard Wunder
2018 arXiv   pre-print
We present a novel control policy, called Predictive Network Control (PNC) to control wireless communication networks (on packet level), based on paradigms of Model Predictive Control (MPC).  ...  We define an advanced system model in which we use a Markov chain in combination with a Bernoulli trial to model the stochastic components of the network.  ...  ACKNOWLEDGMENT This paper is part of and thereby supported by the priority program SPP1914 Cyber-Physical Networking receiving funds from the DFG as well as the Horizon 2020 project ONE5G (ICT-760809)  ... 
arXiv:1804.00481v2 fatcat:bbjntllwd5evxirzlv4tzwosom

Introduction and Motivation [chapter]

G. George Yin, Chao Zhu
2009 Stochastic Modelling and Applied Probability  
The so-called jump linear systems, widely used in engineering, have been studied in Mariton [123] ; controllability and stabilizability of such systems are treated in Ji and Chizeck [78] .  ...  In [78] , both controllability and stabilizability of jump linear LQ systems were considered. In [21] , adaptive LQG problems with finitestate process parameters were treated.  ... 
doi:10.1007/978-1-4419-1105-6_1 fatcat:be6gvxtadjcw3m55rxyn52hrte

Stabilization of Linear Systems Across a Time-Varying AWGN Fading Channel [article]

Lanlan Su, Vijay Gupta, Graziano Chesi
2019 arXiv   pre-print
We consider both the case of independent and identically distributed fading and fading subject to a Markov chain.  ...  This technical note investigates the minimum average transmit power required for mean-square stabilization of a discrete-time linear process across a time-varying additive white Gaussian noise (AWGN) fading  ...  Moreover, based on the results on stability of discrete-time Markov jump linear system [14] , it follows that S(j) is mean-square stable if and only if the condition (10) holds.  ... 
arXiv:1907.13024v2 fatcat:3urxpc4zsvhzzmdvrwpifxe3li

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.  ...  The involved Markov jump parameter is a uniform ergodic Markov chain taking values in a Borel-measurable set.  ...  robot [1] , biology of viruses [2] , portfolio selection [3] to transmission control of wire/wireless network [4] .  ... 
doi:10.3390/math10010037 fatcat:syrj2znqazejtktqwqutxyyisa
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