Exponential passivity of discrete-time switched neural networks with transmission delays via an event-triggered sliding mode control.

This paper investigates the exponential passivity of discrete-time switched neural networks (DSNNs) with transmission delays via an event-triggered sliding mode control (SMC). Firstly, a novel discrete-time switched SMC scheme is constructed on the basis of sliding mode control method and event-triggered mechanism. Next, a state observer with transmission delays is designed to estimate the system state. Moreover, some new weighted summation inequalities are further proposed to effectively evaluate the exponential passivity criteria for the closed-loop system. Finally, the effectiveness of theoretical results is showed through a simulative analysis on a multi-area power system. • Network communication is embedded into the DSNNs modeling, and the network-induced time delays are consiederd here. • Combined with sliding mode control and event-triggered mechanism, a discretetime switched SMC method is proposed to reduce the impact of network delays, and make the closed-loop system meet the performance index while ensuring its stability. • Some new weighted summation inequalities are further proposed to reduce the conservatism of exponential passivity criteria. • A practical example of a multi-area power system is utilized to demonstrate the validity ofproposed control approaches. [ABSTRACT FROM AUTHOR]