Fuzzy Based Model Predictive Control for Uncertain Nonlinear System

Author:

Xu Li1,Liu Fei1

Affiliation:

1. Jiangnan University

Abstract

In this paper, a model predictive control (MPC) scheme is investigated for uncertain nonlinear system with time delay and input constraint. First, the Takagi-Sugeno (T-S) fuzzy model is used to approximate the dynamics of nonlinear processes and the parallel distributed compensation (PDC) controllers which are parameter dependent and mirror the structure of the T-S plant model are proposed. Then a novel feedback PDC predictive controller obtained from the linear matrix inequality (LMI) solutions which can guarantee the stability of the closed-loop overall fuzzy system is put forward. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed method.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference12 articles.

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3. J. Zhang, B. Y. Ji, Fuzzy Model Predictive Control for a Class of Nonlinear Time-delay Systems, Journal of system simulation, 16(9): 2083–2085, (2004).

4. Y. H. Yang, X. H. Liu, Robust Predictive Control for A Class of Uncertain Systems Based on State Observer, Ludong University Journal, 24(3): 206–209, (2008).

5. H. O. Wang, K. Tanaka, M. F. Griffin, An Approach to Fuzzy Control of Nonlinear Systems Stability and Design Issues, IEEE Trans. Fuzzy Systems, 4(1): 14–23, (1996).

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