A Piecewise Approach to Control for Nonlinear Systems

Tadanari Taniguchi; Michio Sugeno; Kazuo Tanaka

doi:10.14864/softscis.2006.0.1944.0

SCIS & ISIS 2006

Session ID : SA-B4-2

DOI https://doi.org/10.14864/softscis.2006.0.1944.0

Conference information

Host: Japan SOciety for Fuzzy Theory and intelligent informatics

Co-host: The Korea Fuzzy Logic and Intelligent Systems Society, IEEE Computational Intelligence Society, The International Fuzzy Systems Association, 21th Century COE Program "Creation of Agent-Based Social Systems Sciences"

SA-B4 Intelligent Control

A Piecewise Approach to Control for Nonlinear Systems

*Tadanari Taniguchi, Michio Sugeno, Kazuo Tanaka

Author information

Keywords: Intelligent Control, Nonlinear Systems, Piecewise Lyapunov functions

CONFERENCE PROCEEDINGS FREE ACCESS

Details

Abstract

In this paper, we present a basic concept to design a Lyapunov function candidate and the stabilizing controllers of nonlinear discrete-time systems. First, we propose a stabilization algorithm for linear step-varying discrete-time system via piecewise Lyapunov functions based on a tracking trajectory control. The piecewise Lyapunov functions satisfying arbitrary trajectory control can be constructed. The design conditions are represented as LMI conditions. Therefore, the solutions can be solved efficiently. The algorithm is applied to nonlinear discrete-time systems. Finally, some illustrated examples are given to show the validity of the proposed method.

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