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Observer-based H∞ control design for singular switching semi-Markovian jump systems with random sensor delays
Zhengtian Wu1, Bo Li2, Cunchen Gao3
1School of Electronic and Information Engineering, Suzhou University of Science and Technology, Suzhou, China; Suzhou Institute of Smart City, Suzhou University of Science and Technology, Suzhou, China.
Abstract:
This paper studies the problem of H∞ control design for a class of singular switching semi-Markovian jump systems, in which the transition rates of jumping process are uncertain and the output measurements suffer from random sensor delays. Firstly, a Luenberger observer is designed to estimate the system state components, based on which an error dynamic is obtained. Then, stochastic stability analysis for the overall closed-loop system is given based on the upper and lower bounds of transition rates. Further, the state feedback controller gain matrices are given by solving a set of sufficient conditions in terms of strict linear matrix inequalities (LMIs), which also guarantee the closed-loop system to be stochastically stabilizable and has a prescribed H∞ performance index γ. Finally, a numerical example is provided to verify the effectiveness of the obtained result.
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