Robust Finite‐Time H∞ Control for Nonlinear Markovian Jump Systems with Time Delay under Partially Known Transition Probabilities

Dong Yang and Guangdeng Zong

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper is concerned with the problem of robust finite‐time H∞ control for a class of nonlinear Markovian jump systems with time delay under partially known transition probabilities. Firstly, for the nominal nonlinear Markovian jump systems, sufficient conditions are proposed to ensure finite‐time boundedness, H∞ finite‐time boundedness, and finite‐time H∞ state feedback stabilization, respectively. Then, a robust finite‐time H∞ state feedback controller is designed, which, for all admissible uncertainties, guarantees the H∞ finite‐time boundedness of the corresponding closed‐loop system. All the conditions are presented in terms of strict linear matrix inequalities. Finally a numerical example is provided to demonstrate the effectiveness of all the results.

Date: 2014
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https://doi.org/10.1155/2014/938781

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:938781

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