Dynamic Output Feedback-Based Tracking Control Design With Input Time-Varying Delay for Fuzzy Systems

The prime purpose of this study is to design an output tracking control law in the perspective of compensating the effects induced by time-varying input delays and disturbances. In particular, the control protocol is developed for nonlinear systems, where the nonlinearities are effectively represented as a convex summation of linear subsystems using membership functions, which is precisely referred by fuzzy model approach. Accordingly, with the aid of parallel distributed compensation strategy and extended Smith predictor approach, the fuzzy-dependent dynamic control law is formulated. Moreover, the improved-equivalent-input-disturbance estimator approach is implemented to estimate the disturbance signals, whose output is tied to the resultant dynamic output feedback controller. On such circumstances, the controller gain matrices that assure the asymptotic tracking performance of the addressed system are calculated by solving the derived set of sufficient conditions. Conclusively, the effectiveness of the developed theoretical outcomes is validated by virtue of numerical simulations.

Automated summary

The prime purpose of this study is to design an output tracking control law to compensate for the effects induced by time-varying input delays and disturbances. The control protocol is developed for nonlinear systems and the nonlinearities are effectively represented using membership functions. The fuzzy-dependent dynamic control law is formulated using parallel distributed compensation strategy and extended Smith predictor approach.