| 输入受限的参数摄动分段仿射系统鲁棒控制 |
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| 引用本文： | 刘志林,裴润,慕香永,刘志远.输入受限的参数摄动分段仿射系统鲁棒控制[J].系统仿真学报,2007,19(22):5234-5237,5242. |
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| 作者姓名： | 刘志林 裴润 慕香永 刘志远 |
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| 作者单位： | 哈尔滨工业大学控制科学与工程系,黑龙江,哈尔滨,150001 |
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| 摘 要： | 研究了一类有输入约束和参数摄动的离散分段仿射系统的稳定性及其控制器的设计方法。提出了各分段仿射子系统离散时间状态集的椭圆集表示方法,结合Lyapunov意义的稳定约束,以LMIs形式给出了闭环分段仿射系统的鲁棒稳定充分条件和控制器的设计方法。同时将常见的输入约束转换成LMIs,通过LMIs的凸约束保证了求解控制器的可行性。最后通过仿真实例验证了所提方法的有效性。
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| 关 键 词： | 参数摄动 分段仿射系统 椭圆集 稳定性 |
| 文章编号： | 1004-731X（2007）22-5234-04 |
| 收稿时间： | 2006-09-15 |
| 修稿时间： | 2006-09-152007-03-12 |
Robust Control of Piecewise Affine System with Constrained Input and Parameter Perturbation |
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| LIU Zhi-lin,PEI Run,MU Xiang-yong,LIU Zhi-yuan.Robust Control of Piecewise Affine System with Constrained Input and Parameter Perturbation[J].Journal of System Simulation,2007,19(22):5234-5237,5242. |
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| Authors: | LIU Zhi-lin PEI Run MU Xiang-yong LIU Zhi-yuan |
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| Institution: | Department of Control Science and Engineering, Harbin Institute of Technology, Harbin 150001, China |
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| Abstract: | A discrete-time piecewise affine (PWA) system with constrained control input and parameter perturbation was studied. The PWA systems was described as ellipsoid which could be characterized by a set of vector inequalities, thereby the constraint of linear matrix inequalities (LMIs) was released. In terms of LMIs, the perturbed impulsive PWA system with constrained control input could be robust stabilized in Lyapunov theory. A convex optimization problem with LMIs constraints was formulated to design the controller. The simulation results verify the effectiveness of the proposed method. |
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| Keywords: | LMI |
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