摘要
研究了一类具有非线性不确定性时滞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Riccati方程的状态观测器和鲁棒稳定控制器的设计方法。所得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。
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.
出处
《黑龙江大学自然科学学报》
CAS
2000年第2期35-38,共4页
Journal of Natural Science of Heilongjiang University
关键词
观测器
鲁棒控制
非线性不确定时滞系统
nonlinear uncertainty, time-delay system, observer, robust control, Riccati equation
