摘要
基于Ｌｙａｐｕｎｏｖ稳定性理论，研究了一类具有状态非线性不确定线性时滞系统的鲁棒稳定控制器的设计问题。在非线性不确定性满足增益有界条件下，得到了该类时滞系统鲁棒稳定的一个充分条件。通过求解一个代数Ｒｉｃｃａｔｉ方程即可获得鲁棒稳定控制器，并且该控制器不依赖于系统的时滞。具体算例说明了该方法的有效性。
We consider the problem of robust controller design for linear time-delay systems with a class of nonlinear uncertainty based on Lyapunov stability theory. On condition that the nonlinear uncertain functions are gain bounded, we derive a sufficient condition for the robust stability of the time-delay system. By solving an algebraic Riccati equation, we can obtain the robustly stable controller, and the contoller is independent of the system time-delay. An illustrative example presents the effectiveness of the proposed method.
出处
《控制与决策》
EI
CSCD
北大核心
1999年第4期373-376,共4页
Control and Decision
关键词
非线性不确定性
鲁棒控制
时滞系统
鲁棒镇定
nonlinear uncertainty, robust control, time-delay system, Riccati equation
