Bumpless Transfer Control for Switched Linear Systems: A Hierarchical Switching Strategy

This paper studies bumpless transfer control for a class of switched linear systems. We propose a hierarchical switching strategy to solve the bumpless transfer control problem. The key point is to design two controllers for each subsystem. This is based on the consideration that in many cases the conventional design of each subsystem equipped with only one controller cannot achieve stability and satisfactory bumpless transfer performance simultaneously. The upper level switching determines which subsystem to be active while the lower level switching chooses which controller from the two controllers of the active subsystem to be switched on. The dual design of the switching and controllers makes the closed-loop switched system asymptotically stable with a satisfactory bumpless transfer performance. Numerical examples are provided to illustrate the validity of the proposed methods.