用圆判据方法设计非线性观测器

Nonlinear Observer Design via Circle Criterion

研究一类非线性系统的观测器设计方法 ,其中观测器误差系统中非线性部分满足一般扇区条件 .该系统的观测器误差系统可表示为线性部分与时变非线性部分反馈连接的形式 .利用满足一般扇区条件非线性系统稳定性的圆判据设计方法 ,得到观测器误差系统渐近稳定的严格正实条件 ,实现非线性观测器的设计 .

Nonlinear observers are designed for a class of systems where the nonlinearity of the observer error system satisfies a general sector condition. The approach is to represent the observer error system as a feedback interconnection of a linearity and a time- varying sector nonlinearity. Using the circle criterion, if the observer error system with nonlinearity satisfying the general sector condition can be made strictly positive real,the designed nonlinear observer is asymptotically stable.