摘要
研究了滞后广义非线性离散系统的状态反馈H∞控制器设计问题,利用广义Lyapunov函数和线性矩阵不等式,首先对系统的稳定性进行了讨论,在此基础上得到了系统的零解渐近稳定且具有H∞范数约束的充分条件,然后设计了状态反馈H∞控制器,使闭环系统具有同样的性能,最后给出了数值算例说明本文结论的有效性。
The design of state feedback H∞ controllers is discussed for the singular nonlinear discrete systems with timedelay. First by means of generalized Lyapunov function and linear matrix inequality, the stability is studied for the system. Then, a sufficient condition is given such that a singular nonlinear discrete system is zero solution asymptotically stable and a H∞ norm constraint. A state feedback H∞ controller is designed to guarantee the performance of the resulting closed-loop system. An example is illusrated to prove the validity of the results.
出处
《石河子大学学报（自然科学版）》
CAS
2005年第6期765-768,共4页
Journal of Shihezi University(Natural Science)
关键词
滞后广义非线性离散系统
广义Lyapullov函数
零解渐近稳定
H∞范数约束
状态反馈
singular nonlinear discrete systems with time-delay
generalized Lyapunov function
zero solutionasymptotical stability
H∞ norm constraint
state feedback
