广义Markov切换系统在有界转移概率下的H 控制

doi:10.3696/j.issn.1006-396X.2011.01.022

石油化工高等学校学报 ›› 2011, Vol. 24 ›› Issue (1): 93-96.DOI: 10.3696/j.issn.1006-396X.2011.01.022

• 化工机械 • 上一篇

广义Markov切换系统在有界转移概率下的H 控制

王国良

辽宁石油化工大学信息与控制工程学院,辽宁抚顺113001

收稿日期:2010-09-26 修回日期:2010-10-15 出版日期:2011-02-25 发布日期:2011-02-25
作者简介:王国良（１９８１－），男，山东潍坊市，讲师，博士
基金资助:
国家自然科学基金资助项目(60974004)

Control of Continuous-Time Singular Markovian Jump Systems With Bounded Transition Probabilities

School of Information and Control Engineering, Liaoning Shihua University,Fushun Liaoning 113001, P. R. China

Received:2010-09-26 Revised:2010-10-15 Published:2011-02-25 Online:2011-02-25

摘要/Abstract

摘要： 研究了连续广义Markov切换系统在有界转移概率下的H∞控制。通过采用保守性较小的估计不等式, 得到了连续广义Markov切换系统正则, 无脉冲, 随机稳定且具扰动系数γ的充分条件。给出了H∞控制器求解条件。最后, 通过仿真算例验证了所得结论的有效性。

关键词: 广义Ｍａｒｋｏｖ切换系统 , 有界转移矩阵 , Ｈ∞控制

Abstract: The H∞ control of continuous-time singular Markovian jump systems (SMJSs) with bounded transition probabilities was discussed. Improved sufficient condition for continuous-time SMJSs to be regular, impulse-free and stochastically stable with γ-disturbance attenuation is established via less conservative estimated inequality. The condition for the existence of H∞ controller is established. Finally, an example is presented to show the effectiveness of the proposed approaches.

Key words: Singular Markovian jump systems, Bounded transition probabilities, H&infin, control

王国良. 广义Markov切换系统在有界转移概率下的H 控制[J]. 石油化工高等学校学报, 2011, 24(1): 93-96.

WANG Guo-liang. Control of Continuous-Time Singular Markovian Jump Systems With Bounded Transition Probabilities[J]. Journal of Petrochemical Universities, 2011, 24(1): 93-96.

广义Markov切换系统在有界转移概率下的H 控制

Control of Continuous-Time Singular Markovian Jump Systems With Bounded Transition Probabilities

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