【作者】 付艳明； 段广仁；

【Author】 Fu Yan-Ming Duan Guang-RenCenter for Control Theory and Guidance TechnologyHarbin Institute of Technology, Harbin 150001, P. R. China

【机构】 哈尔滨工业大学控制理论与制导技术研究中心；

【摘要】 对一类含有时滞与Brownian运动的线性跳跃系统,考虑了随机镇定与H∞控制问题。系统中的跳跃参数能够用一个有限状态的Markov过程来描述,基于随机微分方程稳定性理论,给出了随机镇定控制器存在的充分条件。通过求解一系列关联线性矩阵不等式,无记忆状态反馈H∞控制控制器的参数化形式被获得。数值例子说明了本文提出的设计方法的有效性。更多还原

【Abstract】 This paper deals with the stochastic stabilizability and H∞disturbance attenuation for a class of linear jumpsystems with discrete delays and Brownian motions. The transition of the jumping parameters in the systems is governed by a finite-state Markov process. A sufficient condition on stochastic stabilizability is established based on the stability theory for stochastic differential equations. With the help of a set of coupled linear matrix equalities, the parameterizedrepresentation of a memoryless linear state feedback H∞controller is given. A numerical example demonstrates the effect of the proposed design approach.更多还原