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