基于观测器输出反馈奇异时滞系统的同时H_∞控制（英文）  

Observer based simultaneous H_∞ control by output feedback 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,内蒙古呼和浩特010022

出　　处：《高师理科学刊》2015年第8期4-10,共7页Journal of Science of Teachers＇College and University

基　　金：Inner Mongolia Normal University postgraduate innovation foundation item(CXJJS14054);Inner Mongolia Normal University ten,hundred,thousand talents subsidize project

摘　　要：讨论了单个控制器同时镇定一组时滞奇异系统的问题.通过引入Lyapounv-Krasovskii泛函,给出所设计的同时镇定控制器的充分条件,保证了奇异时滞闭环系统的正则、无脉冲、稳定且具有H∞性能.利用基于观测器的状态反馈和状态反馈控制相结合的方法得到闭环时滞奇异系统同时H∞控制的充分条件,明确地给出了输出反馈控制律的表达式.所得控制器可由一组线性矩阵不等式求解得出,避免了矩阵分解.最后,由仿真算例说明该方法的可行性.The problem of simultaneously stabilizing a collection of singular time-delay systems with a single controller was considered. By introducing Lyapunov-Krasovskii functional, gave a sufficient condition, which guarantees the singular closed-loop system regular, impulse-free, stable and with H∞ performance. The sufficient condition of simultaneous H∞ controller sufficient condition was derived via applying the state observer and observer-based state feedback to singular closed-loop systems. An explicit expression of the desired output feedback control law was also given. The obtained criterions were formulated in terms of linear matrix inequalities （ LMI ） involving no decomposition of system matrices. Finally, a numerical example is provided to demonstrate the feasibility of the proposed method.

关 键 词：奇异时滞系统 输出反馈控制 线性矩阵不等式 同时控制 

分 类 号：O231.1[理学—运筹学与控制论]