Robust Fuzzy Control for a Class of Uncertain Discrete Fuzzy Bilinear Systems
ABSTRACT The main theme of this paper is to present robust fuzzy controllers for a class of discrete fuzzy bilinear systems. First, the parallel distributed compensation method is utilized to design a fuzzy controller, which ensures the robust asymptotic stability of the closed-loop system and guarantees an Hinfin norm-bound constraint on disturbance attenuation for all admissible uncertainties. Second, based on the Schur complement and some variable transformations, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities. Finally, the validity and applicability of the proposed schemes are demonstrated by a numerical simulation and the Van de Vusse example.
- SourceAvailable from: Vahid AzimiJournal of Dynamic Systems Measurement and Control-Transactions of the ASME. 01/2013; 135(5):051006-1–051006-11.
- Mathematical Problems in Engineering 01/2015; 2015:1-11. · 1.08 Impact Factor
- The 2nd International Conference on Engineering and Technology (ICET 2014), Cairo, Egypt; 04/2014