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Fuzzy-based sliding mode control design for stability analysis of nonlinear interconnected systems

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TLDR
In this study, a fuzzy-based- sliding model controller is proposed and the sufficient condition is derived based on suitable Lyapunov function and LMI approach that ensures that the asymptotic stability of the states of nonlinear interconnected systems under the fuzzy- based sliding mode controller is ensured.
Abstract
In general, the nonlinear interconnected systems are highly interconnected with N number of sub-systems, therefore, it is difficult to a design decentralized control scheme for analyzing the stability of the system. This study is mainly concerned with fuzzy based sliding mode control design to analyze the stability and stabilization of nonlinear interconnected systems. In order to derive the stabilization condition, we proposed a fuzzy-based- sliding model controller and the sufficient condition is derived based on suitable Lyapunov function and LMI approach. The sufficient condition contains the information on the sliding motions, some tuning parameters and slack variables. The condition ensures that the asymptotic stability of the states of nonlinear interconnected systems under the fuzzy-based sliding mode controller. Finally, the numerical example and their simulation results are given to demonstrate the effectiveness of the proposed conditions.

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References
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Journal ArticleDOI

Fuzzy identification of systems and its applications to modeling and control

TL;DR: A mathematical tool to build a fuzzy model of a system where fuzzy implications and reasoning are used is presented and two applications of the method to industrial processes are discussed: a water cleaning process and a converter in a steel-making process.
Book

Stability of Time-Delay Systems

TL;DR: Preface, Notations 1.Introduction to Time-Delay Systems I.Robust Stability Analysis II.Input-output stability A.LMI and Quadratic Integral Inequalities Bibliography Index
Book

Sliding mode control : theory and applications

TL;DR: This text provides the reader with a grounding in sliding mode control and is appropriate for the graduate with a basic knowledge of classical control theory and some knowledge of state-space methods.
Journal ArticleDOI

An introductory survey of fuzzy control

TL;DR: This paper picks up key points in applying fuzzy control and shows very recent results in industrial applications and points out some interesting and important problems to be solved.
Journal ArticleDOI

Stability of time-delay systems via Wirtinger-based double integral inequality

TL;DR: Two stability criteria for systems with discrete and distributed delays are derived within the framework of linear matrix inequalities (LMIs) and the advantage of employing the proposed inequalities is illustrated via two numerical examples.
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