Continuous-time synthesizing robust sampled-data dynamic output-feedback controllers for uncertain nonlinear systems in Takagi–Sugeno form: A descriptor representation approach

Abstract

This paper discusses controller design techniques for robust sampled-data dynamic output-feedback (DOF) for nonlinear systems in the Takagi–Sugeno (T–S) fuzzy form with parametric uncertainties and L2/L∞ disturbances. We perform the sampled-data syntheses in a continuous-time domain based on an augmented sampled-data closed-loop model in descriptor form. Hence, the investigation does not require any (approximate) discrete-time model of a T–S fuzzy system, which is a significant obstacle in nonlinear sampled-data control system designs. Moreover, various cross-product terms among system matrices, to-be-designed DOF controller matrices, and other decision variables are reduced, yielding single-stage linear matrix inequality-based design conditions.