含有饱和非线性状态约束的不确定离散时间时滞系统保性能控制

Guaranteed Cost Control of Discrete-time Uncertain Systems with Time-delays and Saturation Nonlinearities

研究了一类含有饱和非线性状态约束的不确定离散时间时滞系统的保性能控制.基于Lyapunov稳定性理论,通过构造适当的Lyapunov函数,给出系统稳定的状态反馈控制器存在条件和设计方法.最后通过算例验证了文中所提方法的有效性.

For a class of discrete-time uncertain systems with time-delays and saturation nonlinearities,the problem of designing a guaranteed cost state feedback controller is considered in this paper.Using Lyapunov stability theory,by constructing suitable Lyapunov function,a sufficient condition for the existence of state feedback guaranteed cost controller is derived.Finally,an example is given to illustrate the effectiveness of the proposed method.