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Title: Admissibility analysis and control synthesis for T-S fuzzy descriptor systems
Authors: Qiao, L
Zhang, QL
Zhang, GF 
Keywords: Admissible control
Linear matrix inequalities (LMIs)
Nonparallel distributed compensation (non-PDC) controller
Nonquadratic fuzzy Lyapunov function
Parallel distributed compensation (PDC) controller
Takagi-Sugeno (T-S) fuzzy descriptor system
Issue Date: 2017
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on fuzzy systems, 2017, v. 25, no. 4, p. 729-740 How to cite?
Journal: IEEE transactions on fuzzy systems 
Abstract: The problem of admissibility analysis and control synthesis for Takagi-Sugeno fuzzy descriptor systems is investigated. First, based on Nonquadratic fuzzy Lyapunov function and fully using the information of fuzzy membership functions, a new relaxed sufficient condition ensuring a fuzzy descriptor system to be admissible (regular, impulse-free, and stable) is proposed, in which it is not necessary to require every fuzzy subsystem to be stable. Second, the other sufficient condition for the admissibility is obtained without the information of time derivatives of fuzzy membership functions. Following the analysis, both parallel and nonparallel distributed compensation controllers are designed, linear matrix inequalities conditions are given to construct the controllers. Finally, some examples are provided to illustrate the main results in this paper less conservative than some earlier related results.
ISSN: 1063-6706
EISSN: 1941-0034
DOI: 10.1109/TFUZZ.2016.2574917
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