An inverse optimal Back-stepping approach is utilized to investigated the adaptive excitation control of uncertain power systems. First, the nonlinear power system model is established by regarding the damping coefficient and the high order dynamic terms as uncertain disturbances. Then, a parameter estimation law and an adaptive excitation controller are constructed. The stability and inverse optimal of the closed loop system are verified. The proposed controller can avoid to solve HJB inequality. Simulation results show the effectiveness of the proposed parameter estimator and inverse optimal excitation controller.
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