广义时滞系统的鲁棒同时H_∞控制  

Robust Simultaneous H_∞ Control for Singular Systems with Time Delay

作　　者：李瑞杰[1] 包俊东[1] 

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《控制工程》2017年第3期661-669,共9页Control Engineering of China

基　　金：内蒙古师范大学十百千人才资助项目;内蒙古师范大学2014年度研究生科研创新基金(CXJJS14054)

摘　　要：讨论不确定广义系统时滞相关的鲁棒同时H_∞控制问题。首先,通过引入Lyqpunov-Krasovskii泛函以线性矩阵不等式(LMI)形式给出时滞相关的新有界实引理,使得系统正则、无脉冲、稳定且具有H_∞性能。其次,在有界实引理基础上得到广义闭环系统的同时H_∞控制器存在的时滞相关的充分条件。进一步推广到不确定广义时滞闭环系统中,并给出鲁棒同时H_∞控制器的的设计方法。控制器可由一组线性矩阵不等式(LMI)求解得到,避免了系统中矩阵的分解。最后,由仿真算例说明该设计方法的有效性。This paper considers the problems of time delay dependent robust simultaneous H-infinity control for uncertain singular systems. Firstly, the new bounded real lemma is given in the terms of linear matrix inequalities（LMI） by introducing Lyapunov-Krasovskii functional, which makes the uncertain singular system regular, impulse free, stable and have H-infinity performance. Secondly, delay dependent sufficient condition of the simultaneous H-infinity controller for singular closed-loop systems is derived based on the bounded real lemma. Moreover, the approach is generalized to regular closed-loop systems with time delay and admissible uncertainties, and the design approach for robust simultaneous H-infinity controller is gained. All the obtained results are formulated by strict LMI involving no decomposition of system matrixes. Finally, a numerical example is provided to demonstrate the availability of the proposed method.

关 键 词：广义系统 时滞相关 同时H∞控制 有界实引理 

分 类 号：TP23[自动化与计算机技术—检测技术与自动化装置]