东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2008, Vol. 29 ›› Issue (4): 460-463+468.DOI: -

• 论著 • 上一篇    下一篇

基于模糊双曲模型的混合H_2/H_∞控制

杨珺;张化光;   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2008-04-15 发布日期:2013-06-22
  • 通讯作者: Yang, J.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60325311,60534010,60572070,60521003);;

Design of mixed H2/H∞ controller based on fuzzy hyperbolic model

Yang, Jun (1); Zhang, Hua-Guang (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-04-15 Published:2013-06-22
  • Contact: Yang, J.
  • About author:-
  • Supported by:
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摘要： 针对一类离散非线性系统,提出一种基于模糊双曲模型(FHM)的多目标控制器设计方法.利用模糊双曲模型来表述一类非线性系统,建立基于模糊双曲模型的控制器.该控制器本质上是一种模糊控制器,也是具有饱和特性的非线性反馈控制器.使用LMI方法设计该控制器以保证闭环系统是渐近稳定的,并且可以通过求解一个基于LMI的优化问题,得到次优的控制器增益矩阵,使得闭环系统同时满足H2性能指标上界最小和H∞范数界γ.仿真结果表明,该方法是有效的.

关键词: H2/H∞混合控制, 模糊双曲模型, 线性矩阵不等式, 非线性, 离散系统

Abstract: Based on fuzzy hyperbolic model (FHM), a multiple-objective controller design method is presented for a class of discrete-time nonlinear systems, where the FHM is refers to the descriptive definition of a class of nonlinear systems and the architecture of the FHM controller. This controller is essentially a fuzzy controller and also a nonlinear feedback controller featured with saturation. Design with the linear matrix inequality (LMI), the controller can guarantee the asymptotic stability of a closed-loop system and, a suboptimal gain matrix of the controller can be obtained by solving an LMI-based optimization problem to enable the closed-loop system to satisfy simultaneously both the upper bound of H2 performance index and H∞ norm bound γ. Simulation results showed the validity of the design method proposed.

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