不确定时滞Lur’e控制系统的鲁棒H_∞观测器设计  

Robust H_∞ Observer Design for a Class of Lur'e Control Systems with Uncertain Time-Delay

作　　者：杨冬梅[1] 张静[1] 

机构地区：[1]东北大学理学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2013年第3期305-307,325,共4页Journal of Northeastern University(Natural Science)

基　　金：辽宁省自然科学基金资助项目(20102058)

摘　　要：研究一类具有不确定时滞性Lur’e控制系统的状态观测器设计和基于状态观测器的鲁棒控制器设计问题.在系统状态不能直接被测量的情况下,通过构造增广系统,利用Lyapunov稳定性理论,得到了关于Lur’e控制系统存在状态观测器和基于状态观测器的鲁棒控制器的充分条件,并利用MATLAB的LMI工具箱求解状态观测器和控制器参数.最后,通过仿真实例验证了该设计方法的有效性和可行性.The problem of robust H∞ observer design for a class of Lur＇ e control systems with uncertain time-delay was studied. When the system state cannot be directly accepted, in the light of Lyapunov stability theory, the sufficient conditions for the existence of the state observer and observer-based robust controllers for Lur＇ e systems were obtained. What＇ s more, the corresponding state observer and observer-based robust controllers by constructing an augmented system were also given. The parameters of state observer and observer-based controllers could be obtained by solving two LMIs. Finally, a numerical example was provided to demonstrate the validity of the proposed design approach.

关 键 词：Lur’e控制系统 观测器 不确定性 鲁棒控制器 线性矩阵不等式(LMI) 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]