| 基于LMI的非线性系统PDC控制器设计方法 |
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| 引用本文： | 赵文杰,刘吉臻,赵玉辉,周红英.基于LMI的非线性系统PDC控制器设计方法[J].系统仿真学报,2003,15(8):1110-1112,1119. |
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| 作者姓名： | 赵文杰 刘吉臻 赵玉辉 周红英 |
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| 作者单位： | 1. 华北电力大学动力工程系,河北保定,071003
2. 国华力源物资燃料有限责任公司,北京,100062 |
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| 摘 要： | 针对T-S模糊模型描述的非线性系统，提出了一种PDC控制器的直接设计方法。将闭环控制系统的稳定要求、性能指标及控制量约束条件统一到线性矩阵不等式的框架内，通过求解线性矩阵不等式族获得控制器参数。以倒立摆系统为例，对提出的设计方法进行了验证，仿真结果表明设计方法是有效的。
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| 关 键 词： | 非线性系统 T-S模糊模型 线性矩阵不等式 极点配置 |
| 文章编号： | 1004-731X(2003)08-1110-03 |
A Design Method for Nonlinear System PDC Controller Based on LMI |
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| ZHAO Wen-jie,LIU Ji-zhen,ZHAO Yu-hui,ZHOU Hong-ying.A Design Method for Nonlinear System PDC Controller Based on LMI[J].Journal of System Simulation,2003,15(8):1110-1112,1119. |
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| Authors: | ZHAO Wen-jie LIU Ji-zhen ZHAO Yu-hui ZHOU Hong-ying |
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| Institution: | ZHAO Wen-jie1,LIU Ji-zhen1,ZHAO Yu-hui1,ZHOU Hong-ying2 |
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| Abstract: | A design method for parallel-distributed compensation (PDC) controller is proposed in this paper. The method combines stable conditions of closed-loop T-S fuzzy systems, desired control performance and constraints on the control input into a framework of linear matrix inequalities (LMIs), and the parameters of controller can be obtained by convex programming techniques for LMIs. The design method is verified by designing a PDC controller for an inverted pendulum using the proposed method and the simulation results demonstrate the efficiency of the method. |
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| Keywords: | nonlinear system fuzzy model linear matrix inequality pole placement |
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