执行器饱和离散时间线性系统鲁棒稳定性

针对含执行器饱和离散时间线性参数依赖系统,分别采用独立的、仅参数依赖、同时参数和饱和依赖的二次李亚普诺夫函数方法去估计其不变吸引域,分别导出系统有着不变吸引椭球的以线性矩阵不等式(LMIs)表述的充分性条件。为得到保守性小的估计,分别提出了以上述LMIs作约束的相应优化算法。最后,算例显示同时参数和饱和依赖李亚普诺夫函数处理法所得结果的保守性较之其它两法要小。

Robust stability of discrete-time linear systems with actuator saturation

The invariant attractive domains of a discrete-time linear parameter-depemdent system with actuator saturation are estimated by using different quadratic Lyapunov functions,such as independent,only parameter-dependent,both parameter and saturation-dependent.The sufficience conditions to ensure the system has an invariant attractive ellipsoid are respectively deduced in the linear matrix inequality forms.The corresponding optimization calculations with the above LMIs as constraints are respectively presented in order to get a low conservativeness eatimate.Finally,a numerical example shows the conservativeness of both the parameter and saturation-dependent Lyapunov approach is lower than the other ones.