Sliding mode based-variable selective control for robust tracking of uncertain Internet-based systems

Abstract

In this research, the robust control of uncertain linear Internet-based systems has been studied. In this way, an event-triggered strategy has been used to reduce the amount of communication between the plant and the remote controller. The proposed control strategy also ensures stability, robustness and output tracking against the model uncertainties and communication network negative effects. For this purpose, a new sliding surface is designed for linear Internet-based systems by solving a set of linear matrix inequalities which is achieved using the Lyapunov’s stability theorem. Accordingly, corresponding to a range of expected time delays, a discrete-time sliding mode control method is used to design some control signals. The proposed method can cope with relatively large network delays and packet dropouts. The asymptotic stability and robustness of the closed-loop system are also evaluated. Simulation studies on four well-known benchmark problems demonstrate the effectiveness of the proposed method with respect to the model uncertainty and also band-limited communication networks.