执行器饱和不确定线性系统的分析和设计

为探讨含饱和状态反馈单输入系统的稳定性问题，依据lyapunov函数方法，给出了该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，运用Ricatti方程叠代法设计控制器以使所得系统不变吸引椭球尽量大，并将这种分析和设计的方法被推广到控制饱和不确定系统。通过仿真算例说明了该方法的有效性。

Analysis and design for single input linear systems subject to input saturation and uncertainty

To discuss the stability for a state - feedback single - input linear system subject to actuator saturation, the paper presents a sufficient condition based on lyapunov function 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. This method is then extended to determine the invariant set for systems subject to actuator saturation and uncertainty. At last, the approach will be illustrated with examples.