Title: An efficient projection method to stability issues of fuzzy systems

Authors: Chih-Peng Huang, Yau-Tarng Juang

Addresses: Department of Electrical Engineering, National Central University, Chung-Li, Taiwan, ROC. ' Department of Electrical Engineering, National Central University, Chung-Li, Taiwan, ROC

Abstract: This paper deals with the stability issues for a class of nonlinear systems described in the Takagi-Sugeno|s (T-S) fuzzy model. Based on the alternating projection method, first we propose an efficient projection algorithm for stability analysis. By involving the controller, the design method for the resulting closed-loop system is further investigated. Some numerical examples are given to demonstrate the validity of the proposed methods. The design strategy is verified by the problem of balancing and swing-up of an inverted pendulum on a cart.

Keywords: nonlinear systems; fuzzy control; T-S fuzzy model; stability analysis; parallel distributed compensation; projection algorithm; inverted pendulum.

DOI: 10.1504/IJCAT.2005.007209

International Journal of Computer Applications in Technology, 2005 Vol.24 No.2, pp.75 - 82

Published online: 23 Jun 2005 *

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