具有时变时滞不确定切换系统的鲁棒H_∞可靠控制  

Robust H_∞ Reliable Control for Uncertain Switched Systems with Time-Varying Delays

作　　者：王荣浩[1] 邢建春[1] 王平[1] 杨启亮[1] 向峥嵘[2] 

机构地区：[1]解放军理工大学工程兵工程学院,南京210007 [2]南京理工大学自动化学院,南京210094

出　　处：《南京航空航天大学学报》2011年第4期496-503,共8页Journal of Nanjing University of Aeronautics & Astronautics

基　　金：国家自然科学基金(60974027)资助项目;解放军理工大学预研基金(20110316)资助项目

摘　　要：为了克服时变时滞效应对切换系统的不良影响,并使系统具有一定的抗干扰性和可靠性,针对一类执行器故障的时变时滞不确定切换系统,研究了鲁棒H∞可靠控制器的设计问题。首先给出了该类系统的鲁棒可靠控制器,γ-次优鲁棒H∞可靠控制器及γ-最优鲁棒H∞可靠控制器的概念;然后建立了切换系统的执行器故障模型,运用多Lyapunov-Krasovskii泛函方法和线性矩阵不等式(Linear matrix inequality,LMI)技术,给出了执行器故障情况下的鲁棒H∞可靠控制器的设计方法,所得到的关于优化问题中的矩阵不等式不是一组线性矩阵不等式,通过变量替换的方法求得了控制器的增益阵,并且提供了最优扰动抑制性能的迭代求解步骤;最后通过仿真实例验证了设计方法的有效性。结果表明在系统具有不确定参数和执行器故障的情况下,所设计的控制器能够镇定原系统,并使得系统具有H∞扰动抑制性能。To overcome the passive effect of time-varying delays for switched systems and make systems anti-jamming and fault-tolerant,robust H∞ reliable control for uncertain switched systems with actuator failures and time-varying delays is investigated.Firstly,the concepts of robust reliable controller,γ-suboptimal robust H∞ reliable controller and γ-optimal robust H∞ reliable controller are presented.Secondly, failure model of actuator for switched systems is put forward.Multiple Lyapunov-Krasovskii functional method and linear matrix inequality（LMI） technique are adopted to design robust H∞ reliable controller.The matrix inequalities in the γ-optimal problem are not linear,so the variable substitution is used to acquire the controller gain matrices.Furthermore,the iteration process for optimal disturbance attenuation performance is presented.Finally,a numerical example shows the effectiveness of the proposed method.The result illustrates that the designed controller can stabilize the original system and equip the system with H∞disturbance attenuation performance when the system has uncertain parameters and actuator failures.

关 键 词：切换系统 时变时滞 鲁棒H∞可靠控制 多Lyapunov-Krasovskii泛函 

分 类 号：TP202.1[自动化与计算机技术—检测技术与自动化装置]