LAUSR

Concerned with descriptor systems, this paper extends recent results on nonquadratic controller design. The proposal employs an exact Takagi–Sugeno model of the descriptor redundancy form and a fully nonquadratic Lyapunov function. Based on these elements, a switching control law is proposed that achieves stabilization up to the modelling area by feeding back the time derivatives of the membership functions: these are obtained from a Levant’s robust differentiator. Conditions thus obtained turned up to be linear matrix inequalities. Via suitable examples, the methodology is shown to outperform previous approaches on the subject.