Feedback Stabilization of Multiple Controller Systems via Bumpless Transfer Inputs and Periodic Switching*

For a linear system with multiple controllers, the problem of stabilization is addressed by means of bumpless transfer input and periodic switching. The main idea is to design open-loop input signals that compensate the discontinuities caused by controller switching. With periodic switching laws, the system state is proved to be bounded and convergent. A computational procedure is proposed for calculating the compensator. A numerical example is shown to verify the effectiveness of the proposal scheme.