Delay-dependent robust stabilization for steam valve opening of uncertain time-delay multi-machine power system with sector saturating actuator

摘要

In this paper, the time-dependent robust decentralized controller has been proposed for the steam valve opening of time-delay multi-machine power system with sector saturating actuator. Here, the nonlinear interconnected function is expressed by sinusoidal functions, and furthermore, is enlarged into quadrat-ically bounded inequalities in the subsystem states via transformation of trigonometric functions. Two sufficient conditions of closed-loop multi-machine power system asymptomatic stability are derived based on Lyapunov stability theory and state transformation. Controller gain matrices are presented by solving linear matrix inequalities (LMIs). A two-machine infinite bus system is considered as an application example, and the simulation results demonstrate the effectiveness of the proposed method.