Takagai-Sugeno模糊模型的并行分布补偿:新的稳定条件和动态反馈设计(英文)

Parallel Distributed Compensation for Takagi-Sugeno Fuzzy Models: New Stability Conditions and Dynamic Feedback Designs

讨论可以用 Ｔａｋａｇａｉ－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 Ｔａｋａｇａｉ－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．

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 expends 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.