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

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。

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.