运用饱和关联函数分析扰动离散控制饱和系统

Analysis for discrete-time systems subject to actuator saturation and disturbance by a saturation-dependent Lyapunov function

为探讨含饱和状态反馈扰动离散控制饱和系统的稳定性问题,运用饱和关联Lyapunov函数、LQR方法设计控制器,结合LM I给出一集合在系统吸引域内的充分条件。该函数包含了系统控制器饱和程度的实时信息,所估计的系统吸引域具有较少的保守性,该分析和设计方法被推广到无扰动的离散控制饱和系统,算例说明了该方法的有效性。

To discuss the stability for a state-feedback discrete-time linear system subject to actuator saturation and disturbance, the paper presents a sufficient condition based on a saturation-dependent Lyapunov function and solution of LQR and a LMI optimization problem which guarantees the set is in the domain of attraction for system. The saturation-dependent Lyapunov function captures the real-time information on the severity of actuator saturation and leads to less conservative estimate of the domain of attraction. The approach is verified by examples.