Journal of Petrochemical Universities

Journal of Petrochemical Universities ›› 2011, Vol. 24 ›› Issue (1): 93-96.DOI: 10.3696/j.issn.1006-396X.2011.01.022

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

  

  1. 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

广义Markov切换系统在有界转移概率下的H 控制

王国良   

  1. 辽宁石油化工大学信息与控制工程学院,辽宁抚顺113001
  • 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)

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

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

Cite this article

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.

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.