Dynamic Output-Feedback Dissipative Control for T–S Fuzzy Systems With Time-Varying Input Delay and Output Constraints

This paper develops a new fuzzy dynamic output-feedback control scheme for Takagi–Sugeno (T–S) fuzzy systems with time-varying input delay and output constraints based on $(Q,S,R)$ - $\alpha$ -dissipativity. The proposed controller, called a $(Q,S,R)$ - $\alpha$ -dissipative output-feedback fuzzy controller, takes into consideration the abstract energy, storage function, and supply rate for the disturbance attenuation and provides a unified framework that can incorporate existing results for $\mathcal {H}_{\infty }$ and passivity controllers as special cases for T–S fuzzy systems with time-varying input delay and output constraints. A dynamic parallel distributed compensator is used to design the $(Q,S,R)$ - $\alpha$ -dissipative output-feedback fuzzy controller to ensure the asymptotic stability and strict $(Q,S,R)$ - $\alpha$ -dissipativity of closed-loop systems described by a T–S fuzzy model that satisfies some output constraints. By employing the reciprocally convex approach, a new set of delay-dependent conditions for the desired controller is formulated in terms of the linear matrix inequality. The effectiveness and the applicability of the proposed design techniques are validated by an example of control for active suspension systems for different road conditions.