一类非线性对象基于区间观测器的L_2增益性能综合

L_2-gain performance synthesis for a class of nonlinear systems based on interval observer

本文针对一类非线性系统,首次考虑了基于区间观测器的L2增益性能控制器设计问题.该控制器的设计主要分两个步骤:首先,设计了该非线性系统的区间观测器,使得观测器系统与原系统之间的误差系统为单调系统;然后,基于该区间观测器系统设计了观测器状态反馈控制律,使得相应的闭环系统为渐近稳定且具有L2增益性能.最后,仿真数例表明了本文所提出方法的有效性.

The problem of L2-gain performance controller based on interval observer is considered, for the first time, for a class of nonlinear systems. First, interval observer systems are designed to guarantee that the error dynamic system between the observer system and the original system is monotone. Then, based on the interval observer, the state feedback of interval observer system is designed to ensure the corresponding closed-loop system is asymptotically stable with an L2-gain performance. Finally, the efficiency of the oroDosed aDoroach is illustrated through a numerical examnle.