Robust H-infinity Control of Uncertain Markovian Jump Linear Systems with Mode-Dependent Time-Delays
| Authors: | Li Shanbin, Zhejiang University, China
Cao Yong-Yan, Zhejiang University, China
Wang Yongqiang, Zhejiang University, China
Sun Youxian, Zhejiang University, China |
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| Topic: | 2.5 Robust Control |
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| Session: | Robust Controller Synthesis |
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| Keywords: | Markovian jump linear systems (MJLSs), robust control, time-delaysystems, linear matrix inequality (LMI) |
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Abstract
This paper addresses the robust H-infinity issue of uncertainMarkovian jump linear systems (MJLSs) with mode-dependenttime-delays. A new delay-dependent condition on the stochasticstability is proposed by a new stochastic Lyapunov-Krasovskiifunctional. The stability conditions are formulated as bilinearmatrix inequalities solvable by an iterative linear matrixinequality (LMI) method. Then a new robust H-infinity feedbackcontroller is developed by solving a set of coupled LMIs. A simplenumerical example demonstrates the effectiveness of the proposedmethod.
