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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

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

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

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

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

Stabilization Over Markov Feedback Channels: The General Case

Paolo Minero, Lorenzo Coviello, Massimo Franceschetti
2013 IEEE Transactions on Automatic Control  
Index Terms-Communication theory, entropy, Markov channels, Markov jump linear systems, quantized control.  ...  In the scalar case, it is shown that the system can be stabilized if and only if a Markov jump linear system describing the evolution of the estimation error at the decoder is stable -videlicet if and  ...  Markov Jump Linear Systems Consider the scalar nonhomogeneous MJLS defined by where with , is a constant, is the Markov rate process described above.  ... 
doi:10.1109/tac.2012.2212616 fatcat:imwxqd4jizd4bhoa2isb5nrowe

A Decentralized Markovian Jump ${\cal H}_{\infty}$ Control Routing Strategy for Mobile Multi-Agent Networked Systems

Farzaneh Abdollahi, K. Khorasani
2011 IEEE Transactions on Control Systems Technology  
This paper presents a Markovian jump linear (MJL) system framework for developing routing algorithms in mobile ad hoc networks (MANETs) that encounter changes in the number of nodes and/or the number of  ...  A decentralized routing scheme is proposed and designed for the networked multi-agent system in presence of unknown time-varying delays.  ...  The authors then extended the controller to time-varying delays in [22] . In [23] , a stabilizing control for the Markovian jump linear (MJL) systems with input delays was presented.  ... 
doi:10.1109/tcst.2010.2046418 fatcat:gfiaemdru5ge3nld2lsimgszsi

Optimal control of LTI systems over unreliable communication links

Orhan C. Imer, Serdar Yüksel, Tamer Başar
2006 Automatica  
In this paper, optimal control of linear time-invariant (LTI) systems over unreliable communication links is studied.  ...  The motivation of the problem comes from growing applications that demand remote control of objects over Internet-type or wireless networks where links are prone to failure.  ...  In this case, the problem can be studied in the framework of jump-linear systems (Chizeck & Ji, 1988) .  ... 
doi:10.1016/j.automatica.2006.03.011 fatcat:3xzl6zhscfbqpefq4zvpb7p25q

Channels, Remote Estimation and Queueing Systems With A Utilization-Dependent Component: A Unifying Survey Of Recent Results [article]

Varun Jog and Richard J. La and Michael Lin and Nuno C. Martins
2021 arXiv   pre-print
Causes for the dependency of a UDC on past utilization include the use of replenishable energy sources to power the transmission of information among the sub-components of a networked system, and the assistance  ...  In this article, we survey the main models, techniques, concepts, and results centered on the design and performance evaluation of engineered systems that rely on a utilization-dependent component (UDC  ...  on Markovian jump linear system theory [57] .  ... 
arXiv:1905.04362v2 fatcat:lyuafrhhdrepldcefdtpfobyg4

Automated Verification and Synthesis of Stochastic Hybrid Systems: A Survey [article]

Abolfazl Lavaei, Sadegh Soudjani, Alessandro Abate, Majid Zamani
2022 arXiv   pre-print
, including transportation networks, biological systems and chemical reaction networks, smart energy and power grids, and beyond.  ...  Stochastic hybrid systems have received significant attentions as a relevant modelling framework describing many systems, from engineering to the life sciences: they enable the study of numerous applications  ...  synthesis of these models, together with the associated software tools.  ... 
arXiv:2101.07491v2 fatcat:dpir554ebfclhpj5m7e7fi2hv4

Multiple descriptions for packetized predictive control

Jan Østergaard, Daniel Quevedo
2016 EURASIP Journal on Advances in Signal Processing  
Theoretical analysis of the PPC-MDC scheme Markov jump linear system Letx t ∈ R zN×1 be the N − 1 past and the present system state vectors, i.e., x t x T t , . . . , x T t+1−N T , (15) where x t is  ...  In the present work, we show that the overall system with delays, erasures, quantization effects, and multiple descriptions, can be cast as a Markov jump linear system (MJLS), which makes it possible to  ...  Page 15 of 16 send ξ t using M descriptions such that upon receiving any 0 < J ≤ M descriptions, the J control signalsũ t (1), . . . ,ũ t can be reliably recovered.  ... 
doi:10.1186/s13634-016-0343-1 fatcat:pqc2pcez2jdzhayup6lvxzdjry

IEEE Robotics & Automation Society

2012 IEEE robotics & automation magazine  
Besides, we consider the fact that in industry the most extended controllers are linear and we get the linear approximation of our model.  ...  Relationships between data streams are modelled through sequences of linear dynamic time-invariant models whose trained coefficients are used to feed a Hidden Markov Model (HMM).  ... 
doi:10.1109/mra.2012.2230568 fatcat:33actbknxrel3jnag2kx7cncem

IEEE Robotics & Automation Society

2011 IEEE robotics & automation magazine  
Besides, we consider the fact that in industry the most extended controllers are linear and we get the linear approximation of our model.  ...  Relationships between data streams are modelled through sequences of linear dynamic time-invariant models whose trained coefficients are used to feed a Hidden Markov Model (HMM).  ... 
doi:10.1109/mra.2011.941112 fatcat:owvu2behc5hulpcae2dp5myigm
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