| 引用本文: | 阮荣耀,龚妙昆,杨昌利.离散时间系统间接自适应调节的稳定性分析[J].控制理论与应用,2005,22(4):666~672.[点击复制] |
| RUAN Rong-yao, GONG Miao-kun, YANG Chang-li.Stability analysis of indirect adaptive regulation for simple discrete-time systems[J].Control Theory and Technology,2005,22(4):666~672.[点击复制] |
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| 离散时间系统间接自适应调节的稳定性分析 |
| Stability analysis of indirect adaptive regulation for simple discrete-time systems |
| 摘要点击 1422 全文点击 1021 投稿时间：2003-04-16 修订日期：2004-12-27 |
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| DOI编号 10.7641/j.issn.1000-8152.2005.4.031 |
| 2005,22(4):666-672 |
| 中文关键词 离散时间系统 间接自适应调节 稳定性分析 状态的有界性 |
| 英文关键词 discrete-time systems indirect adaptive regulation stability analysis boundedness properties |
| 基金项目 上海市重点学科建设项目资助. |
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| 中文摘要 |
| 研究一类离散时间一阶线性系统的自适应调节器,采用不同的估计器分别结合修改的“必然等价”控制律,克服了当系统增益的估计值为零时可能丧失稳定性(或能控性)的困难,并指出Middleton and Kokotovic的有关论文[1]的一些实质性错误.对所设计的闭环系统的状态方程组获得显式解或相平面轨道的显式表达式,完全描述了这些自适应调节系统的非线性性质,并对某些情况下所估计的模型可能丧失稳定性的问题进行了分析,还探讨了这些结果对于具有未知控制方向和模型参数的离散时间高阶线性系统的间接自适应调节的意义. |
| 英文摘要 |
| 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. |
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