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This paper presents an approach to stability analysis and control synthesis of affine fuzzy systems. The analysis is based on quadratic Lyapunov functions. The approach considers the nonlinear offset terms in affine fuzzy systems as non-vanishing perturbations added to the corresponding nominal linear blending systems. The affine fuzzy system is bounded by an ultimate limit if the corresponding linear blending system is exponentially stable. A state feedback controller with an extra term is designed with guaranteed global stability. The ultimate bounds are determined for both the open loop system and the compensated system.
Gao, Ruiyao and O'Dwyer, Aidan : Stability analysis and control synthesis of affine fuzzy systems. Proceedings of the IET China-Ireland International Conference on Information and Communications Technologies (CIICT), DCU, August. doi:10.21427/gqzn-dz09