H∞ model reference adaptive control for switched systems based on the switched closed-loop reference model

This paper is concerned with the problem of H∞ state tracking model reference adaptive control for switched systems by the multiple Lyapunov functions method. Neither the measurability of the system state nor the solvability of the H∞ state tracking model reference adaptive control for each individual subsystem is required. First, to improve the transient performance of switched systems, the closed-loop reference model is introduced to switched systems. Second, the H∞ state tracking model reference adaptive control problem for switched systems is solved by designing adaptive controllers for subsystems and a switching law. Then, a solvability condition of the H∞ state tracking model reference adaptive control problem for switched systems is developed.