Output-feedback stabilization control of linear systems with random switchings and state jumps

We are concerned with the stabilization control problem for a class of systems with random switchings and state jumps. We suppose the random switching signal to obey Poisson distribution and intend to use output-feedback control to achieve stabilization. Firstly, based on the statistic property of t...

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Bibliographic Details
Published inProceedings of the 33rd Chinese Control Conference pp. 4090 - 4093
Main Authors Cong Shen, Sheng Zunbing, Chen Jiaqi, Wang Shigang, Bi Yongli
Format Conference Proceeding
LanguageEnglish
Published TCCT, CAA 01.07.2014
Subjects
almost sure stability
Closed loop systems
Matrices
Noise
Numerical stability
output-feedback stabilization
Poisson processes
Stability analysis
Switches
switching systems
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Summary:We are concerned with the stabilization control problem for a class of systems with random switchings and state jumps. We suppose the random switching signal to obey Poisson distribution and intend to use output-feedback control to achieve stabilization. Firstly, based on the statistic property of the distribution of switching points, we derive some sufficient conditions to guarantee the closed-loop system to be almost surely exponentially stable. Then, we pose a parametrization approach to convert the construction conditions of the output-feedback control into a family of matrix inequalities.
ISSN:2161-2927
DOI:10.1109/ChiCC.2014.6895623