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Title: | Admissibility analysis and control synthesis for T-S fuzzy descriptor systems | Authors: | Qiao, L Zhang, Q Zhang, G |
Issue Date: | Aug-2017 | Source: | IEEE transactions on fuzzy systems, Aug. 2017, v. 25, no. 4, p. 729-740 | 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. | 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 |
Publisher: | Institute of Electrical and Electronics Engineers | Journal: | IEEE transactions on fuzzy systems | ISSN: | 1063-6706 | EISSN: | 1941-0034 | DOI: | 10.1109/TFUZZ.2016.2574917 | Rights: | © 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The following publication Qiao, L., Zhang, Q., & Zhang, G. (2016). Admissibility analysis and control synthesis for T–S fuzzy descriptor systems. IEEE Transactions on Fuzzy Systems, 25(4), 729-740 is available at https://doi.org/10.1109/TFUZZ.2016.2574917 |
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