NDLI: Passivity and passification for switching Markovian jump systems with time-varying delay and generally uncertain transition rates

Content Provider	IET Digital Library
Author	Qi, Wenhai Gao, Xianwen Kao, Yonggui
Abstract	This study deals with the problem of passivity and passification for switching Markovian jump systems with time-varying delay and generally uncertain transition rates. The considered systems could be viewed as Markovian jump linear systems governed by a piecewise-constant transition rate matrix, which is subject to a high level average dwell time switching. The time delay is considered as time-varying and meets the requirements of the upper and lower bounds. The generally uncertain transition rates cover uncertain transition rates and partly known transition rates as two special cases. First, sufficient conditions, which guarantee the exponential mean-square stability and stochastic passivity of the underlying systems, are presented by resorting to average dwell time approach. Second, the design of the stabilising controller is given further. Moreover, an improved controller design method, which could provide efficiency and practicability, is further developed. All the proposed conditions are given in the form of linear matrix inequalities. Finally, practical examples illustrate the validity of the obtained results.
Starting Page	1944
Ending Page	1955
Page Count	12
ISSN	17518644
Volume Number	10
e-ISSN	17518652
Issue Number	Issue 15, Oct (2016)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/10/15
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2015.0726
Journal	IET Control Theory & Applications
Publisher Date	2016-06-10
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Control System Analysis Control System Synthesis Controller Design Method Delay Distributed Parameter Control System Dwell Time Switching Exponential Mean-square Stability Generally Uncertain Transition Rates Interpolation And Function Approximation Least Mean Squares Method Linear Matrix Inequalities Markov Processes Markovian Jump Linear System Numerical Analysis Passification Passivity Piecewise-constant Transition Rate Matrix Stabilising Controller Stability Stability in Control Theory Stochastic Passivity Sufficient Condition Switching Markovian Jump System Synthesis Method Time Varying Control System Time Varying System Time-varying Delay Time-varying System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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