Stability Analysis and Fuzzy Control for Uncertain Delayed T–S Nonlinear Systems

This paper studies the global exponential stability and fuzzy control for Takagi–Sugeno (T–S) nonlinear systems with bounded uncertain delays. Most existing T–S methods represent global nonlinear systems by connecting local linear systems with linguistic description. However, many complex systems cannot be represented by linear systems. In this paper, some local nonlinear systems having nice dynamic properties are employed to represent a global complex system. Moreover, the delays are any uncertain bounded continuous functions. Sufficient conditions for global exponential stability of these delayed global complex systems are derived. Criteria for design of nonlinear fuzzy controllers to feedback control the stability of global nonlinear fuzzy systems are given.

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