H∞ load frequency control of multi-area power systems with multi-time-varying delays against deception attacks via a sliding mode control strategy

This article mainly addresses the $H_{\infty }$ load frequency control issue for multi-area power systems with multi-time-varying delays, where a sliding mode control scheme is developed to make the objective system more robust. Considering that the data transmission from the sensor to the controller in the channel may be vulnerable to malicious attacks, the deception attacks are taken into account in the controller design to ensure data authenticity while maintaining the system performance. By constructing a system model regarding multi-time-varying delays in multi-area power systems, this article aims to design a reliable sliding mode controller that guarantees the objective system asymptotic stability with an expected $H_{\infty }$ performance. Then, through the linear matrix inequality technology, sufficient conditions with less conservativeness maintaining the system asymptotic stability with a set of proper controller gains are established.Finally, a two-area interconnected power system is used to validate the presented method.