准单边Lipschitz非线性系统的有限时间镇定

Finite-time stabilization for quasi-one-sided Lipschitz nonlinear systems

借助于有限时间稳定性的定义,对准单边Lipschitz非线性系统引入有限时间镇定的概念。并对一类准单边Lipschitz非线性系统进行了状态反馈和动态输出反馈控制器设计,这类控制器是有别于通常意义的渐近稳定控制器的。利用线性矩阵不等式(LMI)的方法,提出一个充分条件,当反馈控制律作用于该系统时,闭环系统是有限时间稳定的。

The concept of finite-time stabilization is introduced for quasi-one-sided Lipschitz nonlinear systems by the definition of finite-time stability. The design of state feedback controllers and dynamic output feedback controllers is given for a class of quasi-one-sided Lipschitz nonlinear systems. This kind of controllers is differ-ent from that of generally asymptotically stable ones. A sufficient condition is provided by using linear matrix in-equality. When the feedback control laws are applied to the systems, the closed-loop systems are finite-time sta-ble.