Active disturbance reduction scheme for descriptor semi-Markovian jump systems with nonlinear uncertainties

Abstract

By using an active disturbance reduction strategy, the current study addresses the tracking problem of descriptor semi-Markovian jump systems against unknown nonlinear uncertainties (UNC) and aperiodic disturbances. In contrast to previous studies, the improved equivalent-input-disturbance (IEID) estimator is merged with the generalized modified repetitive control (GMRC) rule. To do this, initially, the state-space model of GMRC is proposed. Then, the composite IEID estimator-based GMRC is designed to regulate UNC and disturbances and ensures desired output tracking performance of the proposed model. By constructing augmented Lyapunov–Krasovskii functional, sufficient conditions are presented to guarantee mean-square asymptotic admissibility of closed-loop dynamics in terms of linear matrix inequalities. Finally, the dynamics of DC motor structure with two modes are validated with derived sufficient conditions. The simulation and comparison results confirmed the better tracking performances over the existing methods.