Robust adaptive control scheme for uncertain switched systems

For a class of uncertain switched linear systems, based on multiple Lyapunov functions method and model reference adaptive control theory, a robust adaptive switching control scheme with controller having nonlinear deadzone character was proposed, on which the switching law evolves according to the independent decision variables. Firstly, the closed-loop switched system was constructed by reference switched system and adaptive control laws. Afterwards, using Lure-Postnikov Lyapunov function, a sufficient condition via linear matrix inequations was deduced, which guaranteed closed-loop switched system was bounded model reference adaptive control system. Finally, five operating points of HiMAT(highly maneuverable aircraft technology)vehicle within the operating envelope were selected, and the five linear decoupled models corresponding to short period dynamics of the longitudinal motion composed the switched system, and then finite robust adaptive controllers with nonlinear deadzone character were designed. Simulation shows the effectiveness of proposed method, the system trajectory well tracks desired trajectory under fast and consecutive switchings.