不确定时变时滞系统稳定性的Riccati方程法

A Riccati Equation Approach to Stabilization of Uncertain Linear Systems with Time-Varying State Delay

中文关键词  不确定系统  时变时滞  二次稳定性  观测器

英文关键词  uncertain system  time-varying delay  quadratical stability  observer

中文摘要

      讨论弛不确定时变时滞系统的基于观测器的二次稳定性问题。有两类不确定性被讨论。利用Lyapunov稳定性定理及范数不等式，我们证明了几个关于二次稳定性的定理。通过求解Riccati方程可以获得系统可二次稳定的状态反馈控制器。最后，通过实例验证了上述结果。

英文摘要

      This paper is concerned with the problem of quadratic stabilization based on observer for uncertain systems with time-varying state delay. Two classes of uncertainties are treated. By applying the Lyapunov stability theorem and nom inequalities, we prove several theorems about quadratic stabilization. The proposed state feedback quadratic stabilizer can be obtained by solving a Riccati equations. Finally, illustrative example is given to demonstrate the application of these criteria.