On Asymptotic Stabilization of Linear Discrete-time Systems with Saturated State Feedback  

作　　者：赵克友  魏爱荣  

机构地区：[1]School of Automation Engineering, Qingdao University, Qingdao 266071 [2]School of Control Science and Engineering, Shandong University, Jinan 250061

出　　处：《自动化学报》2005年第2期301-304,共4页Acta Automatica Sinica

基　　金：Supported by National Natural Science Foundation of P. R. China (60174040)

摘　　要：As saturation is involved in the stabilizing feedback control of a linear discrete-time system, the original global-asymptotic stabilization (GAS) may drop to region-asymptotic stabilization (RAS). How to test if the saturated feedback system is GAS or RAS? The paper presents a criterion to answer this question, and describes an algorithm to calculate an invariant attractive ellipsoid for the RAS case. At last, the effectiveness of the approach is shown with examples.As saturation is involved in the stabilizing feedback control of a linear discrete-time system, the original global-asymptotic stabilization (GAS) may drop to region-asymptotic stabilization (RAS). How to test if the saturated feedback system is GAS or RAS? The paper presents a criterion to answer this question, and describes an algorithm to calculate an invariant attractive ellipsoid for the RAS case. At last, the effectiveness of the approach is shown with examples.

关 键 词：渐近稳定性 饱和状态 反馈线性 离散时间系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]