Paper Info
Title
Hybrid approaches for regional Takagi-Sugeno static output feedback fuzzy controller design
Abstract
This paper proposes a Takagi-Sugeno (T-S) fuzzy region model to relax the original one. Such switching concept has got rid of the complicated analysis of parallel distributed compensation (PDC). By mixing genetic algorithm (GA) and linear matrix inequality (LMI), we present a new hybrid approach about the static output feedback controller design. It is unlike other researches that involve abstruse mathematic transformations and system constraints that are difficult to find. In this paper, we fix the static output feedback gains by GA to solve the non-convex problem. It is proved that the existence of a set of solvable non-linear matrix inequality (NLMI) suffices to guarantee the stabilization of T-S fuzzy region system in H"~ sense. Numerical examples are given to illustrate the effectiveness of the algorithm and validate the new method.
Year
DOI
Venue
2009
10.1016/j.eswa.2007.11.033
Expert Syst. Appl.
Keywords
Field
DocType
static output feedback gain,genetic algorithm,solvable non-linear matrix inequality,takagi–sugeno fuzzy region systems,genetic algorithms,feedback fuzzy controller design,static output feedback controller,static output feedback control,regional takagi-sugeno static output,t-s fuzzy region system,fuzzy region model,non-linear matrix inequality,linear matrix inequality,system constraint,new hybrid approach,new method,linear matrix inequality solver
Mathematical optimization,Feedback controller,Controller design,Control theory,Computer science,Matrix (mathematics),Fuzzy logic,Genetic algorithm,Linear matrix inequality
Journal
Volume
Issue
ISSN
36
2
Expert Systems With Applications
Citations 
PageRank 
References 
4
0.68
13
Authors
2
Name
Order
Citations
PageRank
Hung-yuan Chung138933.94
Sheng-Ming Wu2143.14