单输入单输出切换系统的一致标准形及可镇定性

Uniform Normal form and Stabilizability of Single-input Single-output Switched Systems

提出单输入单输出非线性切换系统的一致标准形概念,这一概念是非线性系统标准形概念的自然推广.给出了一致标准形存在的几何条件和所需的坐标变换,并利用一致标准形分析了非线性切换系统在任意切换下二次可镇定的条件.仿真算例表明了该方法的有效性.

A uniform normal form of single-input single-output switched nonlinear systems is presented ,which generalizes the notion of normal form of nonlinear systems. A geometric condition for the existence of the uniform normal form and corresponding coordinate transformation are derived. With the help of the uniform normal form, conditions for quadratic stabilizability of switched nonlinear systems under arbitrary switching are analyzed. A simulation example shows the effectiveness of the given strategy.