A self-tuning fuzzy controller for a class of multi-input multi-output nonlinear systems

    Authors

    C. Y. Xu;Y. C. Shin

    Comments

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    Abbreviated Journal Title

    Eng. Appl. Artif. Intell.

    Keywords

    Fuzzy control; Self-tuning systems; Multi-input multi-output system; Relative gain array; Non-linear systems; CHEMICAL PROCESSES; STABILITY ANALYSIS; DESIGN; Automation & Control Systems; Computer Science, Artificial Intelligence; Engineering, Multidisciplinary; Engineering, Electrical & Electronic

    Abstract

    This paper presents a systematic design procedure of a multivariable fuzzy controller for a general Multi-Input Multi-Output (MIMO) nonlinear system with an input-output monotonic relationship or a piecewise monotonic relationship for each input-output pair. Firstly, the system is modeled as a Fuzzy Basis Function Network (FBFN) and its Relative Gain Array (RGA) is calculated based on the obtained fuzzy model. The proposed multivariable fuzzy controller is constructed with two orthogonal fuzzy control engines. The horizontal fuzzy control engine for each system input-output pair has a hierarchical structure to update the control parameters online and compensate for unknown system variations. The perpendicular fuzzy control engine is designed based on the system RGA to eliminate the multivariable interaction effect. The resultant closed-loop fuzzy control system is proved to be passive stable as long as the augmented open-loop system is input-output passive. Two sets of simulation examples demonstrate that the proposed fuzzy control strategy can be a promising way in controlling multivariable nonlinear systems with unknown system uncertainties and time-varying parameters. (C) 2010 Elsevier Ltd. All rights reserved.

    Journal Title

    Engineering Applications of Artificial Intelligence

    Volume

    24

    Issue/Number

    2

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    238

    Last Page

    250

    WOS Identifier

    WOS:000287066800004

    ISSN

    0952-1976

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