Solutions of TS Fuzzy Model Based Time-Delay Dynamic Systems via Chebyshev Series Approach

A shifted Chebyshev series approach for solve the Takagi-Sugeno (TS) fuzzy model based time-delay dynamic equations (TSFMTDE) is developed in this article. The new method simplifies the procedure of solving the TSFMTDE into the solution of a system of recursive formulae involving only matrix algebra...

Full description

Saved in:
Bibliographic Details
Published in:Journal of vibration and control 2007-01, Vol.13 (1), p.95-106
Main Authors: Hsu, Ming-Ren, Chou, Jyh-Horng
Format: Article
Language:English
Subjects:
Analysis
Chebyshev approximation
Compensation
Economic models
Equations of state
Exact solutions
Fuzzy algorithms
Fuzzy control
Fuzzy logic
Fuzzy systems
Iterative methods
Mathematical models
Matrix algebra
Methods
Time delay systems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A shifted Chebyshev series approach for solve the Takagi-Sugeno (TS) fuzzy model based time-delay dynamic equations (TSFMTDE) is developed in this article. The new method simplifies the procedure of solving the TSFMTDE into the solution of a system of recursive formulae involving only matrix algebra. An algorithm based on these recursive formulae, and including only straightforward algebraic computation is also proposed in this article. The new approach proposed is non-iterative, non-differential, non-integral, straightforward, and well-adapted to computer implementation. Two numerical examples are provided. The first shows that the proposed method based on the shifted Chebyshev series may yield close-to-exact solutions. The second (a nonlinear mass-spring-damper mechanical time-delay system with a fuzzy parallel-distributed-compensation controller) demonstrates the application of the proposed approach.
ISSN:1077-5463
1741-2986
DOI:10.1177/1077546306071693