摘要
针对一类同时具有非线性扰动和范数有界不确定参数的时滞系统,研究了系统的状态反馈控制器的设计问题。首先利用Lyapunov稳定性理论,采用线性矩阵不等式技术和非线性处理方法,推导出系统时滞依赖的鲁棒稳定性的一个充分条件,结果表示成线性矩阵不等式(LMI)的形式,易于求解;然后利用这一稳定性的条件,通过线性矩阵不等式的可行解来构造控制器,给出了该类时滞系统状态反馈控制器的一个设计方法;最后用数值实例验证了所给方法的有效性和可行性。
The delay-dependent stability criterion and robust state feedback control for time-delay systems with nonlinear perturbation are discussed.Based on Lyapunov stability theory,a sufficient condition for delay-dependent asymptotically stable is derived in terms of linear matrix inequalities technique and nonlinear dealing method which is easy to solve.Then the stability criterion is used to design a robust state feedback controller with norm-bounded uncertainties. Finally,a numerical example is presented to illustrate the efficiency and feasibility of the obtained result.
出处
《控制工程》
CSCD
北大核心
2009年第S1期90-93,共4页
Control Engineering of China
关键词
非线性扰动
不确定时滞系统
鲁棒控制
LMI
nonlinear perturbation
uncertainty time-delay system
robust control
LMI
