English

应用科学学报 ›› 2012, Vol. 30 ›› Issue (4): 423-426.doi: 10.3969/j.issn.0255-8297.2012.04.015

• 控制与系统 • 上一篇    下一篇

非线性系统的广义模糊控制

王宇飞， 姜长生， 吴庆宪   

  1. 南京航空航天大学自动化学院，南京210016
  • 收稿日期:2011-01-17 修回日期:2011-09-30 出版日期:2012-07-23 发布日期:2012-07-30
  • 作者简介:王宇飞，博士生，研究方向：飞行控制、智能控制、鲁棒控制，E-mail: wangyf@nuaa.edu.cn；姜长生，教授，博导，研究方向：飞行控制、非线性控制、智能控制、鲁棒控制等，E-mail：jiangcs@nuaa.edu.cn
  • 基金资助:

    国家自然科学基金(No.60974106, No.91116017)；南京航空航天大学博士学位论文创新与创优基金(No.BCXJ10-04)资助

Descriptor Fuzzy Control for Nonlinear Systems

WANG Yu-fei, JIANG Chang-sheng, WU Qing-xian   

  1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2011-01-17 Revised:2011-09-30 Online:2012-07-23 Published:2012-07-30

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摘要：

提出了一种基于T-S 模糊模型的非线性系统的鲁棒跟踪控制方案. 首先将系统的模糊模型等价变换为广义系统模糊模型，然后设定跟踪性能指标，结合线性矩阵不等式方法设计了鲁棒跟踪控制器. 该方法不仅减少了求解复杂度，而且因减弱了对待定矩阵的限制而降低了保守性. 将该方法应用于倒立摆系统，实现了角度和角速率的
精确快速跟踪控制，从而表明了方法的有效性.

关键词: 非线性系统, 模糊系统, 鲁棒控制, 跟踪控制, 广义系统

Abstract:

A robust tracking control scheme is proposed for nonlinear systems based on the T-S fuzzy model.
An ordinary fuzzy model is transformed to a fuzzy descriptor model. The tracking performance index is
designed, and the robust tacking controller design method presented based on linear matrix inequality. Computational
complexity is decreased, and conservation also reduced as the limitations on the undetermined
matrices are relaxed. The method is applied to control an inverted pendulum system, showing that the angle
and angular rate can track the reference signals accurately and rapidly. The simulation results demonstrate
effectiveness of the proposed method.

Key words: nonlinear system, fuzzy system, robust control, tracking control, descriptor system

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