| 基于LMI的仿射型模糊控制系统的稳定性研究 |
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| 引用本文： | 张友刚,刘志刚,肖建.基于LMI的仿射型模糊控制系统的稳定性研究[J].控制与决策,2003,18(6):690-693. |
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| 作者姓名： | 张友刚 刘志刚 肖建 |
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| 作者单位： | 西南交通大学,电气工程学院,四川,成都,610031 |
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| 摘 要： | 基于凸优化方法，分析了仿射型模糊控制系统的稳定性与镇定问题。首先以LMI的形式给出了仿射型模糊系统稳定的充分条件；然后基于这一条件讨论了闭环系统的镇定问题。得出的镇定条件是BMI，使用轮换极小法将这一BMI问题转化为2个LMI问题，从而可以用MATLAB中的LMI优化工具箱进行求解。仿真例子说明了所提方法的有效性。
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| 关 键 词： | LMI 仿射型模糊系统 稳定性 镇定性 |
| 文章编号： | 1001-0920(2003)06-0690-04 |
| 修稿时间： | 2002年7月5日 |
Research on stability of affine fuzzy control systems via LMI optimization |
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| ZHANG You-gang,LIU Zhi-gang,XIAO Jian.Research on stability of affine fuzzy control systems via LMI optimization[J].Control and Decision,2003,18(6):690-693. |
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| Authors: | ZHANG You-gang LIU Zhi-gang XIAO Jian |
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| Abstract: | Stability and stabilizability of affine fuzzy control system are discussed via convex optimization techniques. A sufficient condition to guarantee stability of the affine fuzzy system is given, which is in the form of an LMI. The stabilizing controller is designed for this system. The stabilizability condition turns out to be in the formulation of a bilinear matrix inequality (BMI). This condition is converted into two LMI by alternative minimization and can be solved efficiently via LMI control toolbox in MATLAB. A simulation example is given to demonstrate feasibility of the proposed method. |
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| Keywords: | LMI Affine fuzzy system Stability Stabilizability |
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