A Robust Controller Design based on Dissipation Theory and Its Application

For the strict-feedback systems with disturbances, a novel robust control is proposed based on dissipation theory in this article. By combining the techniques of feedback linearization and feedback domination, the nonlinear controller is constructed step by step, where the notions of supply rate and storage function are embedded. The gotten robust controller makes the closed-loop system finite-gain L-2 stable in the presence of disturbances and asymptotically stable in the absence of disturbances. Especially for large bounded disturbances, the proposed robust control law has its advantage. In order to show the effectiveness of the controller design, the method is used to design the controller of generator system. The simulations illustrate the correctness of the results. Moreover, compared with another robust controller design method, the advantage of dissipation-based approach is shown in the simulation figures.