Title
ℓ∞-induced output-feedback controller synthesis for positive nonlinear systems via T–S fuzzy model approach
Abstract
This paper investigates the ℓ∞-induced output-feedback controller synthesis problem for positive Takagi–Sugeno (T–S) fuzzy systems. For positive T–S fuzzy systems, a sufficient condition for stability and ℓ∞-induced performance is first put forward using a group of linear inequalities. Then, on the basis of these inequalities, the conditions on which static output-feedback controllers exist are set up, and to solve these conditions, a method of iterative convex optimization is provided. Moreover, a complete solution to the synthesis problem of the controller is proposed based on linear programming for positive T–S fuzzy systems with single output or input. Finally, two examples are presented to illustrate and verify the effective and applicable methods derived in this paper.
Year
DOI
Venue
2020
10.1016/j.fss.2019.02.002
Fuzzy Sets and Systems
Keywords
DocType
Volume
Fuzzy systems,Linear programming,ℓ∞-induced performance,Linear Lyapunov functions,Positive systems
Journal
385
ISSN
Citations 
PageRank 
0165-0114
2
0.36
References 
Authors
17
4
Name
Order
Citations
PageRank
Xiaoming Chen1111.89
Liqun Wang240.72
Mou Chen3125159.31
Jun Shen411512.16