Stability analysis and controller design for a novel nonlinear system: Fuzzy parameter varying system.

The novel fuzzy parameter varying system is proposed to deal with nonlinear time-varying models. It has the advantages of the T-S fuzzy system and the linear parameter varying system. It provides a new idea for solving nonlinear time-varying control problem. In this paper, some sufficient conditions are provided to guarantee the globally asymptotically stable of the equilibrium and to synthesize a T-S state feedback control law which can stabilize the closed loop fuzzy parameter varying system. Numerical simulations verify the effectiveness of our results.