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Stability analysis of polynomial fuzzy model-based (PFMB) control systems under the parallel distributed compensation (PDC) design technique is investigated. A new polynomial fuzzy controller (PFC) is introduced to release conservativeness in the existing approaches. Compared to the conventional (PFC), the controller under consideration in this paper has a favorable property which introduces some...
Relaxed LMI-based stability conditions for fuzzy model-based (FMB) control systems are proposed. Considering LMI-based shape-dependent stability conditions, containing relations between state variables and membership functions, some more relaxed stability conditions for FMB control systems with ‘Parallel Distributed Compensation’(PDC) design technique are derived. In the aforementioned approach, product...
Relaxed LMI-based stability conditions for fuzzy model-based (FMB) control systems with imperfect premise matching are proposed. Information of membership functions containing relations between state variables and membership functions are taken into stability analysis. Firstly, based on the Lyapunov stability theorem, derivative of quadratic Lyapunov function containing product terms of fuzzy model...
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