Journal ArticleDOI
Stochastic stability and robust stabilization of semi-Markov jump linear systems
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TLDR
In this paper, the robust stochastic stability condition and robust control design problem for the semi-Markov jump linear system (S-MJLS) with norm-bounded uncertainties were investigated.Abstract:
SUMMARY
The semi-Markov jump linear system (S-MJLS) is more general than the Markov jump linear system (MJLS) in modeling some practical systems. Unlike the constant transition rates in the MJLS, the transition rates of the S-MJLS are time varying. This paper focuses on the robust stochastic stability condition and the robust control design problem for the S-MJLS with norm-bounded uncertainties. The infinitesimal generator for the constructed Lyapunov function is first derived. Numerically solvable sufficient conditions for the stochastic stability of S-MJLSs are then established in terms of linear matrix inequalities. To reduce the conservativeness of the stability conditions, we propose to incorporate the upper and lower bounds of the transition rate and meanwhile apply a new partition scheme. The robust state feedback controller is accordingly developed. Simulation studies and comparisons demonstrate the effectiveness and advantages of the proposed methods. Copyright © 2012 John Wiley & Sons, Ltd.read more
Citations
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Journal ArticleDOI
State estimation and sliding mode control for semi-Markovian jump systems with mismatched uncertainties
TL;DR: Using a supplementary variable technique and a plant transformation, a finite phase-type semi-Markov process has been transformed into a finite Markov chain, which is called its associated MarkovChain, and phase- type semi- Markovian jump systems can be equivalently expressed as its associatedMarkovianJump systems.
Journal ArticleDOI
A survey on Markovian jump systems: Modeling and design
Peng Shi,Peng Shi,Fanbiao Li +2 more
TL;DR: In this paper, a survey on recent developments of modeling, analysis and design of Markovian jump systems is presented, and a variety of control and filter design methods are systematically recalled.
Journal ArticleDOI
Reliable mixed passive and ℋ∞ filtering for semi‐Markov jump systems with randomly occurring uncertainties and sensor failures
TL;DR: In this article, a reliable mixed passive and filtering problem for uncertain semi-Markov jump delayed systems subject to sensor failures is investigated, and sufficient conditions of mixed passivity and performance analysis for the considered systems are derived.
Journal ArticleDOI
Stability and Stabilization of Discrete-Time Semi-Markov Jump Linear Systems via Semi-Markov Kernel Approach
TL;DR: A new stability concept generalizing the traditional mean-square stability is proposed such that numerically testable criteria on the basis of SMK are obtained.
Journal ArticleDOI
Adaptive Event-Triggered SMC for Stochastic Switching Systems With Semi-Markov Process and Application to Boost Converter Circuit Model
TL;DR: The aim of this work is to design an appropriate SMC law based on an adaptive event-triggered communication scheme such that the resulting closed-loop system could realize stochastic stability and reduce communication burden.
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Mathematical Theory of Reliability
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Output Feedback Stabilization of Networked Control Systems With Random Delays Modeled by Markov Chains
TL;DR: This note investigates the output feedback stabilization of networked control systems (NCSs) through the design of a two-mode-dependent controller that depends on not only the current S-C delay but also the most recent available C-A delay at the controller node.