New Robust H ∞ Fuzzy Control for the Interconnected Bilinear Systems Subject to Actuator Saturation

This paper deals with the problem of stabilizing the fuzzy interconnected bilinear systems via the state-feedback controllers with actuator saturation. Firstly, the nonlinear interconnected systems with the additive disturbance inputs are represented into the bilinear interconnected systems via Taylors series expansion and then we adopt the T-S fuzzy modeling technique to construct the fuzzy bilinear models. Secondly, the saturated linear state-feedback controllers for fuzzy interconnected bilinear systems are presented. An ellipsoid is the contractively invariant set of the fuzzy interconnected bilinear systems. The LMI-based conditions are proposed such that the fuzzy interconnected bilinear systems are asymptotically stable with the H∞ performance with the ellipsoid contained in the region of attraction. Moreover, an assigned polytopic region of the state space, containing the equilibrium, is enclosed into the region of attraction of the equilibrium itself. Finally, a numerical example is utilized to demonstrate the validity and effectiveness of the proposed method.