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Takagi-Sugeno Fuzzy System based Stable Direct Adaptive Control of Nonlinear Systems

by Bharat Bhushan, Sudarshan K. Valluru, Madhusudan Singh
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 68 - Number 15
Year of Publication: 2013
Authors: Bharat Bhushan, Sudarshan K. Valluru, Madhusudan Singh
10.5120/11657-7172

Bharat Bhushan, Sudarshan K. Valluru, Madhusudan Singh . Takagi-Sugeno Fuzzy System based Stable Direct Adaptive Control of Nonlinear Systems. International Journal of Computer Applications. 68, 15 ( April 2013), 30-36. DOI=10.5120/11657-7172

@article{ 10.5120/11657-7172,
author = { Bharat Bhushan, Sudarshan K. Valluru, Madhusudan Singh },
title = { Takagi-Sugeno Fuzzy System based Stable Direct Adaptive Control of Nonlinear Systems },
journal = { International Journal of Computer Applications },
issue_date = { April 2013 },
volume = { 68 },
number = { 15 },
month = { April },
year = { 2013 },
issn = { 0975-8887 },
pages = { 30-36 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume68/number15/11657-7172/ },
doi = { 10.5120/11657-7172 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:27:56.077286+05:30
%A Bharat Bhushan
%A Sudarshan K. Valluru
%A Madhusudan Singh
%T Takagi-Sugeno Fuzzy System based Stable Direct Adaptive Control of Nonlinear Systems
%J International Journal of Computer Applications
%@ 0975-8887
%V 68
%N 15
%P 30-36
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper proposes a novel idea for stable direct adaptive control of nonlinear systems using Lyapunov function with fuzzy approach. Stable direct adaptive control law consists of an ideal control, and a sliding mode control. Sliding mode controller is used to ensure the stability of Lyapunov function. Stability of direct adaptive control law is tested on two nonlinear systems. Non linear systems analyzed are ball beam system and cart pole system. A computer simulation is performed on nonlinear systems by using MATLAB.

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Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy system Lyapunov function adaptive control ball beam system and cart pole system

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