Computational effective stability conditions for time-delay fuzzy systems

Lam, Hak-Keung and Ling, Bingo Wing-Kuen (2008) Computational effective stability conditions for time-delay fuzzy systems. International Journal of Fuzzy Systems, 10 (1). pp. 321-330. ISSN 1562-2479

Documents
Computational_effective_stability_conditions_for_time-delay_fuzzy_-_author's_post_print.pdf
[img]
[Download]
Request a copy
[img] PDF
Computational_effective_stability_conditions_for_time-delay_fuzzy_-_author's_post_print.pdf - Whole Document
Restricted to Repository staff only

277Kb

Abstract

This paper investigates the system stability of the time-delay fuzzy-model-based control systems based on delay-independent and -dependent approaches. LMI-based delay-independent and -dependent stabil-ity conditions are derived to guarantee the system stability using Lyapunov-based technique. It can be seen that some existing stability analysis approaches require high computational demand to solve the solu-tion due to the large number of stability conditions. Consequently, feasible solution may not be obtained with the use of numerical methods due to the limita-tion of the computer system especially for compli-cated fuzzy systems with a large number of rules. In this paper, under a particular system formulation, the number of stability conditions can be reduced to alle-viate the computational demand on searching for the solution. Furthermore, the stability conditions offer a larger upper bound of time delay compared with some existing approaches. LMI-based performance conditions are also derived to guarantee the system performance. Simulation examples are given to il-lustrate the merits of the proposed approaches.

Item Type:Article
Additional Information:This paper investigates the system stability of the time-delay fuzzy-model-based control systems based on delay-independent and -dependent approaches. LMI-based delay-independent and -dependent stabil-ity conditions are derived to guarantee the system stability using Lyapunov-based technique. It can be seen that some existing stability analysis approaches require high computational demand to solve the solu-tion due to the large number of stability conditions. Consequently, feasible solution may not be obtained with the use of numerical methods due to the limita-tion of the computer system especially for compli-cated fuzzy systems with a large number of rules. In this paper, under a particular system formulation, the number of stability conditions can be reduced to alle-viate the computational demand on searching for the solution. Furthermore, the stability conditions offer a larger upper bound of time delay compared with some existing approaches. LMI-based performance conditions are also derived to guarantee the system performance. Simulation examples are given to il-lustrate the merits of the proposed approaches.
Keywords:fuzzy systems, computational effective stability conditions, time-delay fuzzy, fuzzy controller
Subjects:H Engineering > H620 Electrical Engineering
H Engineering > H310 Dynamics
Divisions:College of Science > School of Engineering
ID Code:2625
Deposited By: Rosaline Smith
Deposited On:09 Jun 2010 14:20
Last Modified:13 Mar 2013 08:39

Repository Staff Only: item control page