| 引用本文: | 刘晓华,王利杰.带有状态和输入时滞的不确定广义系统的鲁棒预测控制[J].控制理论与应用,2010,27(4):527~532.[点击复制] |
| LIU Xiao-hua,WANG Li-jie.Robust predictive control of uncertain singular systems with both state and input delays[J].Control Theory and Technology,2010,27(4):527~532.[点击复制] |
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| 带有状态和输入时滞的不确定广义系统的鲁棒预测控制 |
| Robust predictive control of uncertain singular systems with both state and input delays |
| 摘要点击 1503 全文点击 1127 投稿时间：2008-11-13 修订日期：2009-05-15 |
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| DOI编号 10.7641/j.issn.1000-8152.2010.4.CCTA081253 |
| 2010,27(4):527-532 |
| 中文关键词 鲁棒预测控制 广义系统 线性矩阵不等式(LMIs) 时滞 不确定性 |
| 英文关键词 robust predictive control singular systems linear matrix inequality(LMIs) time-delay uncertainty |
| 基金项目 国家自然科学基金资助项目(60774016，60875039); 山东省自然科学基金项目(ZR2009GL005). |
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| 中文摘要 |
| 针对一类同时具有状态和输入时滞的不确定广义系统, 研究其鲁棒预测控制问题, 给出了鲁棒预测控制器的综合方法. 运用Lyapunov稳定性理论和线性矩阵不等式方法, 近似求解无穷时域二次性能指标优化问题, 从而得到鲁棒预测控制器存在的充分条件和显式表达式. 证明了优化问题在初始时刻的可行解, 可以保证广义闭环时滞系统是渐近稳定且正则无脉冲的. 仿真算例验证了所提出方法的有效性. |
| 英文摘要 |
| The problem of robust predictive control is investigated for uncertain singular systems with both state and input delays. The design method of robust predictive controller is proposed; the approximate solutions of optimal problems for infinite time interval and with quadratic performance index are calculated by means of Lyapunov stable theory and linear matrix inequalities(LMIs) technique; and the sufficient conditions for the existence of the robust predictive control are given. The feasibility of the optimization problems guarantees that the closed-loop singular time-delay systems are
robustly stable, and the regularity and the impulse-free property of singular systems are also held. A simulation example illustrates the efficiency of this method. |