饱和非线性约束离散时间时滞系统鲁棒H_∞控制

Robust H_∞ Control for a Class of Discrete-time Systems with Time-delays and Saturation Nonlinearities

研究了一类含有饱和非线性状态约束的离散时间时滞系统鲁棒H_∞控制问题。基于Lyapunov稳定性理论和线性矩阵不等式(LMI)处理方法,通过构造适当Lyapunov-Krasovskii函数,推导出该系统H_∞状态反馈控制器存在的条件和设计方法,并探讨了H_∞最优控制问题,给出了最优H_∞控制律参数化的设计方法。最后算例验证了所提方法的有效性。

The problem of robust H∞ control for a class of discrete-time systems with time-delays and saturation nonlinearities is studied in this paper. Based on Lyapunov stability theory and linear matrix inqualities(LMIs) approach, an appropriate Lyapunov-Krasovskii function is constructed. A sufficient condition for the existence and a design approach of the H∞ controller are given. Then the H∞ optimal control problem is discussed and a method of optimal control parametric law is designed. An example is given to illustrate the effectiveness of the proposed method.