Title

A Self-Tuning Fuzzy Controller For A Class Of Multi-Input Multi-Output Nonlinear Systems

Keywords

Fuzzy control; Multi-input multi-output system; Non-linear systems; Relative gain array; Self-tuning systems

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 inputoutput monotonic relationship or a piecewise monotonic relationship for each inputoutput 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 inputoutput 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 inputoutput 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. © 2010 Elsevier Ltd.

Publication Date

3-1-2011

Publication Title

Engineering Applications of Artificial Intelligence

Volume

24

Issue

2

Number of Pages

238-250

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.engappai.2010.10.021

Socpus ID

79151477967 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/79151477967

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