Robust $$H_{\infty }$$ Control of Takagi–Sugeno Systems with Actuator Saturation

Abstract

The robust static output feedback control for continuous-time Takagi–Sugeno systems subject to actuator saturation is solved here, including $$H_{\infty }$$ performance guarantees. Based on a polytopic model of the saturation, sufficient conditions are proposed for designing these controllers in terms of Linear Matrix Inequalities. With the aid of some special derivations, bilinear matrix inequalities are converted into a set of linear matrix inequalities which can be solved easily without requiring iterative algorithms or equality constraints, moreover, the output matrix of the considered system does not require to be full row rank. Finally, some examples are presented to show the validity of the proposed methodology.