Sampled-data static output-feedback control for nonlinear systems in T–S form via descriptor redundancy

Abstract

Abstract This paper deals with a static output-feedback stabilization problem within a sampled-data framework for nonlinear systems in Takagi–Sugeno form. We investigate this problem on the basis of the descriptor-redundancy scheme. The resulting features are that: (i) the sampled-data synthesis does not involve (even approximate) discrete-time models of nonlinear systems; (ii) the sampled-data stability is analyzed in the continuous-time Lyapunov sense; and (iii) the design algorithm consists of a single-stage linear matrix inequality problem without linear matrix equality constraints.