不确定非线性广义时滞系统的鲁棒H_∞控制

Robust H∞ control for uncertain nonlinear singular delay systems

研究具有非线性扰动的不确定广义时滞系统的鲁棒H∞控制问题,该非线性扰动为时间、状态函数且满足Lipschitz条件的。利用Lyapunov泛函和线性矩阵不等式工具,得到了闭环系统鲁棒渐进稳定且具有H∞性能的一个充分条件,并给出了该广义系统的鲁棒H∞控制器的设计方法。数值例子验证了该方法的有效性与可行性。

The robust control for the uncertainty with nonlinear disturbance singular systems with time-delay is considered in this thesis. The nonlinear disturbance for time, state function and meet the Lipschitz condition. The closed-loop system has been robust asymptotically stable and satisfied the H∞performance by using Lyapunov functional and linear matrix inequality. At the same time, the robust controller design method of the singular system is also given. Numerical examples show that this method is effective and feasible.