Dimirovski, Georgi M. (Dogus Author)A new extended adaptive backstepping algorithm for general nonlinear systems in parametric feedback form is proposed. The method preserves useful nonlinearities and the real-time estimation of uncertainty parameter, and does not follow the classical certainty equivalence principle. Then the proposed method is applied to nonlinear adaptive control of Static VAR Compensator (SVC) of a single-machine infinite-bus system containing some unknown parameters. This novel adaptation mechanism is introduced into power systems, and a novel adaptive control law for this SMIB system is presented. The simulation results demonstrate that the proposed method is better than the design based on classical adaptive backstepping in terms of properties of stability and parameter estimation. Hence, it will be an alternative to practice engineering and applications. In addition, this algorithm is applicable to other control systems.National Natural Science Foundation of China (60574013，60274009
