%0 Journal Article %T Stability analysis of indirect adaptive regulation for simple discrete-time systems
离散时间系统间接自适应调节的稳定性分析 %A RUAN Rong-yao %A GONG Miao-kun %A YANG Chang-li %A
阮荣耀 %A 龚妙昆 %A 杨昌利 %J 控制理论与应用 %D 2005 %I %X Examining adaptive regulators for a class of first-order linear discrete-time systems,with different estimators,and the modified certainty-equivalence control law,we overcome the difficulty of a loss of stability (or controllability) as the estimate of the plant gain is zero and point out a few substantive mistakes of the results from Middleton and Kokotovic's paper 1] on the corresponding continuous-time plants.We obtain the explicit expression for the phase-plane trajectories or the explicit solutions completely describing the nonlinear behavior of the designed adaptive regulating systems and analyze some problems of these adaptive regulating systems,due to a loss of stability of the estimated model.Implications of these results for the indirect adaptive regulating case of higher order linear discrete-time systems,with the unknown control direction and model parameters,are discussed. %K discrete-time systems %K indirect adaptive regulation %K stability analysis %K boundedness properties
离散时间系统 %K 间接自适应调节 %K 稳定性分析 %K 状态的有界性 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=0EFF543B9A1C2B2D&yid=2DD7160C83D0ACED&vid=BC12EA701C895178&iid=E158A972A605785F&sid=1C3BB0F444F5E427&eid=B7DE0F3CA34DA149&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=10