Abstract:

In order to improve the calculation speed of the parameters adaptive law and the convergence speed of the state variables, by modifying the traditional backstepping adaptive L2gain control algorithm and adopting linear matrix inequality (LMI), the parameter adaptive differential equation can be resolved in one integration, and the solution of the adaptive laws for the uncertain parameters is simplified, then the L2 gain of the adaptive robust control will be minimum, the common formulas for the rapid backstepping adaptive optimal L2 control (OP-L2-RBAC) is deduced. Simulation results of the harmonic excitation system for the military power station show that the OP-L2-RBAC, comparing with the traditional nonlinear adaptive L2gain control (L2-NAC) method, can enhance the dynamic stability of the excitation system for the military power station.