Parametric adaptive control of multimachine power systems with nonlinear loads

The novel concepts and definitions of M derivative and M bracket for nonlinear differential algebraic system (NDAS) are introduced, and some related revised results that are similar to the classic differential geometric theory are given. The normal forms of NDAS model are obtained by multi-input multi-output (MIMO) feedback linearization technique. The control expressions derived are based on the linear system theory and the requirements of tracking targets when the relative degree of the system is less than the dimension of the system and the special designated conditions are satisfied. The parametric adaptive controller is obtained for the multimachine power systems with nonlinear loads and undetermined or unknown parameters by the Lyapunov stability theory and method.