New synthesis design of adaptive back-stepping controller for static SVC

A new synthesis design for nonlinear adaptive control of Static VAR Compensator for a single-machine infinite-bus system with SVC is derived and proved. The proposed method differs from the “traditional” adaptive back-stepping in both ways how the parameter estimator is constructed and the nonlinear gains are assigned. In comparison with the existing traditional adaptive back-stepping controller, the proposed approach does not follow the classical certainty-equivalence philosophy for the first time, thus yielding the novel parameter estimator and feedback controller dynamics in dealing with unknown parameters. Computer simulation experiments demonstrated that the proposed approach is considerably superior to the control synthesis based on “classical” adaptive back-stepping in terms of the properties of stability and parameter estimation. Results show that the proposed design almost completely recovers the performance of the “full-information” controller.