ε-dependent fuzzy state feedback stabilisation for discrete-time fuzzy singularly perturbed systems Online publication date: Sat, 27-Sep-2014
by Jinxiang Chen
International Journal of Modelling, Identification and Control (IJMIC), Vol. 22, No. 1, 2014
Abstract: A fuzzy state feedback stabilisation approach for standard discrete-time fuzzy singularly perturbed systems (SDTFSPSs) is presented. By using a Lyapunov function and linear matrix inequalities (LMIs) method, a new ε-dependent fuzzy state feedback controller (FSFC) is designed, which guarantees that the resulting closed-loop system is asymptotically stable. The proposed method can be applied to design controller with high performance for non-linear multiple time-scales systems (NMTSSs) because NMTSSs can be described by standard discrete-time fuzzy singularly perturbed model (SDTFSPM). Two examples are provided to illustrate the effectiveness of the presented approach.
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