运用静态反馈分析和设计饱和线性系统

Analysis and design for linear systems subject to saturation by static feedback

给出了状态反馈控制饱和单输入系统和静态输出反馈单输出饱和线性系统是全局渐近稳定还是区域渐近稳定的充分性条件,且对区域渐近稳定的情况计算其不变吸引椭球,对控制饱和系统,运用Ricatti方程迭代法设计控制器以使所得椭球尽量大;对静态输出反馈多输出饱和线性系统,给出了其吸引域的描述,最后用算例说明方法的有效性。

For a state-feedback single-input linear system subject to actuator saturation and a static output-feedback single-output linear system with output saturation, the paper presents a sufficient condition which guarantees the systems are global- asymptotic-stabilization (GAS) or regional-asymptotic stabilization (RAS), calculates an invariant attractive ellipsoid for the case of RAS, gives an iterative Ricatti equation algorithm to find such a controller that supports an ellipsoid as large as possible for system with actuator saturation, presents an invariant attractive ellipsoid in the case of RAS for a static output-feedback multi-output linear system with output saturation; at last, illustrates the effectiveness of our approach with example.