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含饱和状态反馈线性离散时间系统渐近稳定性
引用本文:赵克友,魏爱荣.含饱和状态反馈线性离散时间系统渐近稳定性[J].自动化学报,2005,31(2):301-304.
作者姓名:赵克友  魏爱荣
作者单位:1.School of Automation Engineering, Qingdao University, Qingdao 266071
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.

关 键 词:Actuator  saturation    stability    discrete-time  system    invariant  ellipsoid    domain  of  attraction
收稿时间:2003-12-15
修稿时间:2004-6-5

On Asymptotic Stabilization of Linear Discrete-time Systems with Saturated State Feedback
ZHAO Ke-you,WEI Ai-rong.On Asymptotic Stabilization of Linear Discrete-time Systems with Saturated State Feedback[J].Acta Automatica Sinica,2005,31(2):301-304.
Authors:ZHAO Ke-you  WEI Ai-rong
Affiliation:1.School of Automation Engineering, Qingdao University, Qingdao 266071
Abstract: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.
Keywords:Actuator saturation  stability  discrete-time system  invariant ellipsoid  domain of attraction
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