1. Finite-frequency model reduction of discrete-time T–S fuzzy state-delay systems.
- Author
-
Ding, Da-Wei, Xie, Xiangpeng, Du, Xin, and Li, Xiao-Jian
- Subjects
- *
FUZZY systems , *DISCRETE-time systems , *JENSEN'S inequality , *PERFORMANCE Support Systems (Computer software) , *FREQUENCY discriminators , *TIME delay systems - Abstract
This paper is concerned with the problem of model reduction for discrete-time Takagi–Sugeno (T–S) fuzzy state-delay systems with finite-frequency input signals. A new finite-frequency model reduction algorithm is proposed, which can get a better approximation performance than the existing full-frequency methods. Firstly, a finite-frequency H ∞ performance index is defined in the frequency domain. Then, a stability condition and a finite-frequency H ∞ performance analysis condition are developed by the aid of Jensen׳s inequality and Parseval׳s theorem, respectively. Based on these conditions, sufficient model reduction conditions are derived for discrete-time T–S fuzzy state-delay systems. An optimization algorithm is proposed to obtain a stable reduced-order model satisfying the finite-frequency performance specification. Finally, the effectiveness of the proposed method is illustrated by a numerical example. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF