摘要
针对不确定连续系统,研究了基于观测器的输出反馈控制器的设计问题。基于二次稳定的概念,分析了反馈系统的鲁棒稳定性。通过引入一个非负项,给出了闭环系统二次稳定的一个线性矩阵不等式形式的充分条件,使反馈控制器增益不再依赖于Lyapunov矩阵。在此基础上,提出了一种新的基于观测器的输出反馈控制器设计方法及迭代算法,所得到的控制器能使闭环系统鲁棒稳定,同时满足系统的H∞性能约束。仿真实例说明了该方法的有效性。
The design problem of observer-based output feedback controller is studied for uncertain continuous systems.The robust stability of feedback control systems is analyzed using the concept of quadratic stability. By introducing a positive-semidefinite term, a sufficient condition of quadratic stability is given by means of linear matrix inequality. Based on this, a design method and iterative algorithm are presented for the observer-based output feedback controller, which stabilizes the closed-loop system and satisfies H∞ performance constraints.The numerical example shows the effectiveness of the proposed technique.
出处
《控制工程》
CSCD
2007年第5期501-504,共4页
Control Engineering of China
关键词
鲁棒稳定
输出反馈
线性矩阵不等式
观测器
控制器
robust stability
output feedback
linear matrix inequality
observer
controller
