Nonfragile H ∞ Stabilizing Nonlinear Systems Described by Multivariable Hammerstein Models

This paper presents the problem of robust and nonfragile stabilization nonlinear systems described by multivariable Hammerstein models. The objective is focused on design a feedback controller such that resulting closed-loop system globally asymptotically stable with H ∞ disturbance attenuation in spite gain variations. First, parameters linear blocks characterizing model structure are separately estimated using subspace identification algorithm. Second, approximate inverse functions polynomial form proposed to deal nonbijective invertible nonlinearities. Thereafter, Takagi–Sugeno representation used decompose composition static nonlinearities their inverses series dynamic submodel into fuzzy parts. Besides, sufficient stability conditions for synthesis based quadratic Lyapunov function, id="M3"> criterion, matrix inequality approach provided. Finally, numerical example twin rotor multi-input multi-output considered demonstrate effectiveness.