| 不确定时滞线性离散切换系统的鲁棒H∞控制 |
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| 引用本文： | 宋政一,赵军.不确定时滞线性离散切换系统的鲁棒H∞控制[J].自动化学报,2006,32(5):760-766. |
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| 作者姓名： | 宋政一 赵军 |
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| 作者单位： | 1.东北大学信息科学与工程学院控制理论与导航技术研究所, 沈阳 110004 |
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| 摘 要： | 研究一类具有不确定和时滞的线性离散切换系统的鲁棒H∞控制问题．利用多Lyapunov函数技术,在基于状态的切换规则下,给出了这类系统鲁棒镇定且具有H∞性能界的充分条件,以及切换规则和鲁棒H∞切换控制器的设计方案．并将结果应用到一类非切换系统,提出了切换状态反馈控制策略．最后的仿真例子进一步表明了本文结论的有效性．
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| 关 键 词： | 线性离散切换系统 鲁捧H∞混杂控制 多Lyapunov函数 线性矩阵不等式 |
| 收稿时间： | 2004-12-31 |
| 修稿时间： | 2006-05-30 |
Robust H∞ Control for Linear Discrete-Time Switched Systems with Norm-Bounded Uncertainties and Time-Delay |
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| SONG Zheng-Yi,ZHAO Jun.Robust H∞ Control for Linear Discrete-Time Switched Systems with Norm-Bounded Uncertainties and Time-Delay[J].Acta Automatica Sinica,2006,32(5):760-766. |
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| Authors: | SONG Zheng-Yi ZHAO Jun |
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| Affiliation: | 1.School of Information Science and Engineering, Northeastern University, Shenyang 110004 |
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| Abstract: | The problem of robust H1 control is investigated for a class of linear discrete-time switched systems with norm-bounded uncertainties and time-delay. Based on multiple Lyapunov function techniques, a sufficient condition for the problem to be solvable is derived by using a state-based switching law. The robust H1 controllers for each subsystem and switching law are simultaneously designed. As a direct application, a switching state feedback strategy is proposed to solve the robust H1 control problem for the linear discrete time nonswitched systems. Finally, a simulation example is given to illustrate the validity of theresults |
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| Keywords: | Linear discrete-time switched system robust H~ hybrid control multipleLyapunov function linear matrix inequality |
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