The objective of this paper is to design a nonlinear robust controller for the multi-machine power systems. We present in this study an optimal H∞ tracking control without reaching phase combined with the Proportional Integral Derivative based on Power System Stabilizer (PID-PSS) optimized by Differential Evolution algorithm . To eliminate the tradeoffs between the H ∞ tracking performance and the high gain at the control input, we have defined a new method based on the modified output tracking error by using the exponential function. The Differential Evolution algorithm is used in this study to find the optimal values of the three parameters (Kp, Ki, Kd) of (PID-PSS) and also used to tune the exponential function of the tracking error. The proposed approach is designed to eliminate completely the reaching phase and to enhance the stability and the dynamic response of the multi-machine power system. In order to test the effectiveness of the proposed method, the simulation results show the damping of the oscillations of the angle and angular speed with reduced overshoots and quick settling time.Keywords-differential evolution algorithm; H ∞ tracking error; multi-machine power system; reaching phase; power system stabilizer; proportional integral derivative.

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The aim of this study is to design nonlinear robust controllers for multimachine power systems. A technique for the optimal tuning of Power System Stabilizer (PSS) by integrating the Particle Swarm Optimization (PSO) combined with the Fuzzy Sliding Mode Control (FSMC) is proposed in this study. The fuzzy tuning schemes are employed to improve control performance and to reduce chattering in the sliding mode. The objective of this method is to enhance the stability and the dynamic response of the multimachine power system operating in different operating conditions. In order to test the effectiveness of the proposed method, the simulation results show the damping of the oscillations of the angle and angular speed with reduced overshoots and quick settling time.

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