一类非线性不确定时滞系统基于观测器的鲁棒稳定

研究了一类具有非线性不确定性时带系统的基于状态观测器的鲁棒稳定控制器的设计问题。在非线性不确定函数增益有界的假设条件下，对所构造的增广系统，利用Lyapunov稳定性理论，证明了其鲁棒稳定的一个充分条件, 给出了通过求解两个代数RicCatl方程的状态观测器和鲁棒稳定控制器的设计方法, 结果是对线性不确定时滞系统相应结果的一种推广。最后做了具体算例。

Observer-based robust stabilziafion of time-delay systems with nonlinear uncertainty

The authors study the design problem of observer-based robustly stable controller for time-delay systems with a class of nonlinear uncertainty. On condition that the nonlinear uncertain functions are gain-bounded, they prove a sufficient condition for the robust stability of augmeted system based on Lyapunov theory. By solving a pair of algebraic Riccati equations, a design approach is given to the state observer and robustly stable controller. The result obtained is an extension of the linear case of the problem. Finally, a numerical example is given.