非仿射非线性系统的自适应模糊输出反馈控制

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (7): 1694-1698.

非仿射非线性系统的自适应模糊输出反馈控制

文杰^1,2, 姜长生², 钱承山², 周丽²

1. 南京航空航天大学理学院, 江苏, 南京, 210016;
2. 南京航空航天大学自动化学院, 江苏, 南京, 210016

收稿日期:2008-06-27 修回日期:2008-09-11 出版日期:2009-07-20 发布日期:2010-01-03
作者简介:文杰(1979- ),女,讲师,博士研究生,主要研究方向为非线性系统自适应控制.E-mail:wenjie@nuaa.edu.cn
基金资助:
国家自然科学基金资助课题(90716028)

Adaptive output-feedback fuzzy controller for non-affine nonlinear systems

WEN Jie^1,2, JIANG Chang-sheng², QIAN Cheng-shan², ZHOU Li²

1. Coll. of Science, Nanjing Univ. of Aeronautics and Astronautics, Nanjing 210016, China;
2. Coll. of Automation Engineering, Nanjing Univ. of Aeronautics and Astronautics, Nanjing 210016, China

Received:2008-06-27 Revised:2008-09-11 Online:2009-07-20 Published:2010-01-03

摘要/Abstract

摘要： 针对一类单输入单输出非仿射非线性系统,提出了基于观测器的自适应模糊输出反馈控制。该算法通过构造线性误差观测器估计系统输出误差和系统状态,利用估计状态变量和估计输出误差变量设计自适应控制律,采用模糊逻辑系统在线消除非线性系统中的不确定模型,引入监督控制消除系统逼近误差和外界干扰,并利用Lyapunov方法严格证明了在该控制律作用下闭环系统所有信号一致最终有解,闭环系统的输出能最终跟踪期望输出。仿真结果表明了该方法的有效性。

Abstract: This paper presents a direct adaptive output-feedback fuzzy controller for a class of single input single output unknown non-affine nonlinear systems.A linear error observer is employed to estimate output errors and states,an adaptive controller is designed by using observed errors and state variables.A fuzzy logic system is employed to approximate unknown plant nonlinearity.A supervisory control is introduced to compensate the approximation error and disturbances.The overall adaptive scheme guarantees that all signals involved are bounded and the output of the closed-loop system will asymptotically track the desired output trajectory,Simulation results demonstrate the effectiveness and performance of the proposed approach.

中图分类号:

TP273

文杰, 姜长生, 钱承山, 周丽. 非仿射非线性系统的自适应模糊输出反馈控制[J]. Journal of Systems Engineering and Electronics, 2009, 31(7): 1694-1698.

WEN Jie, JIANG Chang-sheng, QIAN Cheng-shan, ZHOU Li. Adaptive output-feedback fuzzy controller for non-affine nonlinear systems[J]. Journal of Systems Engineering and Electronics, 2009, 31(7): 1694-1698.

参考文献

[1] Wang W Y,Leu Y G,Lee T T.Output-feedback control of nonlinear systems using direct adaptive fuzzy-neural controller[J].Fuzzy Set and Systems,2003,140(2):341-358.
[2] Tong S C,Li H x,Wang W.Observer-based adaptive fuzzy control for SISO nonlinear systems[J].Fuzzy Set and Systems,2004,148(3):355-376.
[3] Abdelaziz H,Najib E,Khier B,et al.State observer based robust adaptive fuzzy controller for nonlinear uncertain and perturbed systems[J].IEEE Trans.on System,Man,and Cybernetics,2004,34(2):942-950.
[4] 顾海军,张天平,于建江.基于观测器的非线性系统直接自适应模糊控制[J].系统工程与电子技术,2004,26(6):785-788.(Gu Haijun,Zhang Tianping,Yu Jianjiang.Direct adaptiue fuzzy control for a class of nonliner systems based on observer[J].Systems Engineering and Electronics,2004,26(6):785-788.)
[5] 毛玉青,张天平,孙妍.基于观测器和小增益定理的自适应模糊控制[J].系统工程与电子技术,2007,29(7):1139-1143.(Mao Yuqing,Zhang Tianping,Sun Yan.Observer based adaptive fuzzy control via small-gain approach[J].Systems Engineering and Electronics,2007,29(7):1139-1143.)
[6] Park J H,Park G T.Direct adaptive self-structuring fuzzy controller for nonaffine nonlinear systeml,J].Fuzzy Set and Systerns,2005,153(3):429-445.
[7] Salim L,Thierry M G.Adaptive fuzzy control of a class of SISO nonaffine nonlinear systems[J].Fuzzy Set and Systems,2006,158(10):1126-1137.
[8] 沈启坤,张天平,钱厚斌.一类非仿射非线性系统的自适应模糊控制[J].电机与控制学报,2006,10(6):592-596.
[9] 刘艳军,王伟.一类多变量非线性系统的白适应模糊控制[J].自动化学报,2007,33(11):1163-1169.
[10] Leu Y G,Wang W Y,Lee T T.Observer-based direct adaptive fuzzy-neural control for nonaffine nonlinear systems[J].IEEE Trans.on Neural Networks,2005,16(4);853-861.
[11] Park J H,Kim,S H.Direct adaptive output-feedback fuzzy controller for a nonaffine nonlinear system[J].IEEE Proc.of Control Theory Appl.,2004,151(1):65-72.
[12] 毛玉青,张天平.一类非仿射不确定非线性系统的自适应模糊输出反馈控制[J].模糊系统与数学,2007,21(4):80-85.
[13] Castro J L.Fuzzy logic controllers are universal approximators[J].IEEE Trans.on System,Manand Cybernetics,1995,25(4):629-635.
[14] 王立新.自适应模糊系统与控制一设计与稳定性分析[M].北京:国防工业出版社,1995:120-139.
[15] loannou P A,Sun J.Robust adaptive control[M].Englewood Cliffs,NJ:Prentice-Hall,1996:66-143.