Abstract
For a class of linear uncertain switched systems, based on multiple Lyapunov functions method and model reference adaptive control theory, we propose an adaptive switching control scheme in which the switching law is built on independent decision variables. Firstly, we constructed the closed-loop switched system by reference switched system and adaptive control laws. Afterwards, using Lure-Postnikov Lyapunov function, we deduced a sufficient condition which guaranteed the closed-loop switched system was bounded model reference adaptive control system. Finally, simulation on the longitudinal motion of HiMAT (Highly Maneuverable Aircraft Technology) vehicle shows the effectiveness of the proposed method, the trajectory of switched system well tracks the desired trajectory. Nomenclature + ℜ = field of non-negative real numbers n ℜ = n-dimensional real vector space mn × ℜ = m dimensional real vector space n × I = identity matrix 1 A − = inverse matrix of A
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