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An LMI-based variable structure control for a classof uncertain singular Markov switched systems

An LMI-based variable structure control for a class of uncertain singular Markov switched systems
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摘要 An H-infinifty variable structure control is presented for singular Markov switched systems with mismatched norm-bounded uncertainties and mismatched norm-bounded external disturbances. It is shown that the sliding mode dynamics on the given switching surface is regular, impulse-free, and stochastically stable and satisfies H-infinity performance. A variable structure controller is designed to guarantee that the system trajectory converges to the linear switching surface in some finite time. Finally, a numerical example is solved to show the effectiveness and validness of the theoretical results. An H-infinifty variable structure control is presented for singular Markov switched systems with mismatched norm-bounded uncertainties and mismatched norm-bounded external disturbances. It is shown that the sliding mode dynamics on the given switching surface is regular, impulse-free, and stochastically stable and satisfies H-infinity performance. A variable structure controller is designed to guarantee that the system trajectory converges to the linear switching surface in some finite time. Finally, a numerical example is solved to show the effectiveness and validness of the theoretical results.
出处 《控制理论与应用(英文版)》 EI 2007年第4期415-419,共5页
基金 This work was supported by the National Natural Science Foundation of China(No.60574007,60674027).
关键词 Markov switched systems Variable structure LMI Switching surface Markov switched systems Variable structure LMI Switching surface
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