Finite-Time Decentralized Sliding Mode Control for Interconnected Systems and Its Application to Electrical Power Systems: A GA-Assisted Design Method

This paper addresses the problem of finite-time decentralized sliding mode control (SMC) for interconnected systems under Round-Robin communication protocol. In this protocol, only one sensor node accesses to the communication network at each transmission moment, and each node accesses to the communication network cyclically. A decentralized token-dependent SMC law is constructed to drive the state trajectories into the sliding domain around the specified sliding surface before the given finite time. Sufficient conditions are derived via the Lyapunov method to ensure finite-time stability of the closed-loop system over the finite-time interval. To tackle the challenges of nonlinear constraint conditions in the SMC design problem, a solving algorithm that combines genetic algorithm (GA) with linear matrix inequality approaches is proposed. Furthermore, a method for selecting the initial values for GA is also presented. Finally, a numerical example and a four areas power system example are given to demonstrate the effectiveness of the developed method.