Bumpless transfer H∞ control for switched linear systems

In this paper, the problem of bumpless transfer H
∞
control for a class of switched linear systems is investigated. Based on the controller gain interpolation technique, a novel bumpless transfer control strategy is proposed, in which a slope condition is presented to limit the control bumps as well as the rate of change of the control signal during the switching process. By using multiple Lyapunov functions and dwell time switching, sufficient stability conditions for the interpolated controller are developed for the nominal switched system. In the case of perturbed systems, bumpless transfer control with ensured L
2
gain is presented. Finally, numerical examples are provided to illustrate the effectiveness of the proposed bumpless transfer control strategy.