Unilateral tracking control for switched linear systems

In this paper, we design the controllers to asymptotically track a constant signal without overshoot for switched linear time-invariant systems. The component of error is shaped by one mode to realize no overshoot. Under arbitrary switching signal, the closed-loop switched system is stable based on common Lyapunov function. We design a state-dependent switching signal to achieve the nonovershooting tracking, when the stability or the monotonally increasing error for some one subsystem is not satisfied. A numerical example is given to illustrate the effectiveness of the proposed method.