Parallel Distributed Compensation for Takagi-Sugeno Fuzzy Models:New Stability Conditions and Dynamic Feedback Designs
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摘要: 讨论可以用Trakagai-Sugeno模糊模型描述的系统的补偿器设计.这种被称之为 并行分布补偿(PDC)的控制器是基于参数并且影像了Trakagai-Sugeno模型的结构.通 过引进动态并行分布控制(DPDC)的概念,扩展了关于此类控制器状态反馈的已有结果. 提出三个新的结果.第一个结果给出了以往结果的宽松条件.这种条件是存在二次型稳定状 态反馈这类控制器的充分条件.第二个结果给出了类似的二次型稳定动态反馈控制器存在的 充分条件.第三个结果适用于Takagai-Sugeno模糊模型的基于性能的控制器设计.
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关键词:
- 模糊控制 /
- Takagai-Sugeno模糊模型 /
- 线性不等式 /
- 动态反馈
Abstract: This paper discusses the synthesis of compensators for plants which can be represented using a Takagi-Sugeno (T-S) fuzzy model. The resulting compensator designs, called PDC controllers, are parameter dependent and mirror the structure of the T-S plant model. This paper extends the existing work on state feedback PDC controllers by introducing the notion of a dynamic PDC controller. The paper contains three new results. The first result provides a more relaxed version of previously stated conditions that are sufficient for the existence of a quadratically stabilizing state feedback PDC controller. The second result provides analogous conditions that are sufficient for the existence of a quadratically stabilizing dynamic PDC controller. The third result deals with the performance-oriented controller synthesis for T-S fuzzy model.-
Key words:
- Fuzzy control /
- Takagi-Sugeno fuzzy model /
- LMI /
- dynamic feedback
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