Stabilization of Markovian jump linear system over networks with random communication delay

Liu, Ming; Ho, Daniel W. C.; Niu, Yugang

doi:10.1016/j.automatica.2008.06.023

Cited by 266 publications

(164 citation statements)

References 11 publications

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“…Therefore, the linear matrix inequality (16) is equivalent to (7). With Theorem1, the systems (6) is mean-square exponentially stable.…”

Section: +2mentioning

confidence: 99%

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Exponential Stability Control for Networked Systems With Interval Distribution Time Delays

Hu¹,

Yuan²

2018

Acta inform. Malays.

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To study the problem of exponential stability control for a class of networked control systems with interval distribution time delays, a new approach is given to model the networked control systems with the stochastic time delays which is assumed to be satisfying a interval Bernoulli distribution. Based on linear matrix inequality approach, the mean-square exponential stability controller design method is presented, and the controller gain matrix is obtain by solving a linear matrix inequality. Moreover, a Lyapunov functional is used, and some stack matrices, which bring much flexibility in solving LMI, are introduced during the proof. A numerical example is given to demonstrate the validity of the results.

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“…Therefore, the linear matrix inequality (16) is equivalent to (7). With Theorem1, the systems (6) is mean-square exponentially stable.…”

Section: +2mentioning

confidence: 99%

“…The stabilization problem for a networked control system with Markov communication delays existing in both the system state and the mode signal [7]. The problem of the stabilization of NCSs with packet dropout [8].…”

Section: Introductionmentioning

confidence: 99%

Exponential Stability Control for Networked Systems With Interval Distribution Time Delays

Hu¹,

Yuan²

2018

Acta inform. Malays.

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“…Based on the tracking control of output, many preliminary studies have been produced [12][13][14][15]. Papers [6,[16][17][18] proposed some questions about stability, and some scholars proposed some thinking about ∞ control [19] as well as the problem of designing about the filter in the literature [20]. As a result of the increased complicacies of the systems, nonlinear characteristics occur randomly in reality.…”

Section: Introductionmentioning

confidence: 99%

H∞ Tracking Control of Fuzzy Dynamic Output for Nonlinear Networked System with Packet Dropouts

Wang

2018

Mathematical Problems in Engineering

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The tracking control of ∞ dynamic output feedback is proposed for the fuzzy networked systems of the same category, in which each system is discrete-time nonlinear and is missing measurable data. In other words, the loss of data packet occurs randomly in both the uplink and the downlink. The independent variables that are called the Bernoulli random variables are considered to design the loss of data packets. The method of parallel distributed compensation (PDC) in terms of the T-S fuzzy model is applied to investigate the dynamic controller of tracking control on the systems. Then, it is presented that the analytical ∞ performance of the output error between the reference model and the fuzzy model for the closed-loop system containing dynamic output feedback controller is proven. Furthermore, the achieved sufficient conditions in terms of LMIs ensure that the closed-loop system is stochastically stable in the ∞ sense. Finally, a numerical system is offered to show the effectiveness of the established technique.

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“…The present work contemplates a Markov chain-driven NCS [21], [10], [33], [38], [39], which is an special case of stochastic NCS [40], [25], [11]. Driving the NCS by a finite state Markov chain enables to consider not only states with different delay distributions (the stochastic case) but also transition probabilities among states.…”

Section: Introductionmentioning

confidence: 99%

A non-uniform multi-rate control strategy for a Markov chain-driven Networked Control System

Cuenca

Ojha²,

Salt

et al. 2015

Information Sciences

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ElsevierCuenca Lacruz, ÁM.; Ojha, U.; Salt Llobregat, JJ.; Chow, M. (2015). AbstractIn this work, a non-uniform multi-rate control strategy is applied to a kind of Networked Control System (NCS) where a wireless path tracking control for an Unmanned Ground Vehicle (UGV) is carried out. The main aims of the proposed strategy are to face time-varying network-induced delays and to avoid packet disorder. A Markov chain-driven NCS scenario will be considered, where different network load situations, and consequently, different probability density functions for the network delay are assumed. In order to assure mean-square stability for the considered NCS, a decay-rate based sufficient condition is enunciated in terms of probabilistic Linear Matrix Inequalities (LMIs). Simulation results show better control performance, and more accurate path tracking, for the scheduled (delay-dependent) controller than for the non-scheduled one (i.e. the nominal controller when delays appear). Finally, the control strategy is validated on an experimental test-bed.

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Stabilization of Markovian jump linear system over networks with random communication delay

Cited by 266 publications

References 11 publications

Exponential Stability Control for Networked Systems With Interval Distribution Time Delays

Exponential Stability Control for Networked Systems With Interval Distribution Time Delays

H∞ Tracking Control of Fuzzy Dynamic Output for Nonlinear Networked System with Packet Dropouts

A non-uniform multi-rate control strategy for a Markov chain-driven Networked Control System

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