Time-delay power systems control and stability with Discretized Lyapunov Functional method

Control design and stability analysis are developed for time-delay power systems. The coupled differential-difference equations are used to model the practical power system dynamics. A robust state feedback controller design stabilizing the unstable power plant is proposed first. Then, the stability analysis with Discretized Lyapunov Functional method is conducted. The overall system stability is determined from the solution of a linear matrix inequality feasibility problem. Numerical simulation results of the proposed schemes are presented and discussed to illustrate the effectiveness and robustness in power systems control and stability applications.