采样控制系统鲁棒稳定性分析  

The analysis of robust stability for sampled-data control system

作　　者：唐京桥[1] 刘志东[2] 

机构地区：[1]北京理工大学,北京100081 [2]北京机械工业学院,北京100085

出　　处：《电机与控制学报》2004年第1期28-30,共3页Electric Machines and Control

摘　　要：大多数的控制系统,都是由连续的控制对象和计算机作为离散控制器所构成的采样控制系统.实际上,系统的不确定性是出现在连续状态方程所描述的被控对象中,而采样系统的鲁棒稳定性是要在闭环等效离散域内进行鲁棒性分析。基于一个矩阵指数的公式,结合适当的技巧和已有的理论成果,给出了基于状态反馈的不确定性采样控制系统的鲁棒稳定界,并给出了一系列采样控制系统鲁棒稳定的充分条件。算例说明了这种方法的有效性。Most control systems are the sampled-data control systems which are made up of continu- ous controlled objects and computers as the discrete controllers. In fact, the uncertainty of the system lies in the controlled object which is discribed by the continuous state equation. But the analysis for the robust stability of the sampled-data control system lies in the closed-loop equivalent discrete re- gion. Based on a formula for exponential-like matrices, proper techniques and the existing results, the robust stability for state-feedback sampled-data control system is investigated, and a series of sufficient conditions is proposed for the robust stability of the sampled-data control system. An ex- ample is given at last to prove the efficiency of the method.

关 键 词：采样控制系统 鲁棒稳定性 离散控制器 计算机控制 

分 类 号：TP273.5[自动化与计算机技术—检测技术与自动化装置]