Decentralized compensation of controller uncertainty in the steady‐state bumpless transfer under the state/output feedback

The state/output feedback topology required for bumpless transfer under controller uncertainty is considered. A steady‐state diagonal dominance condition for a subsystem of this topology is derived, which is shown to be sufficient for the existence of the stabilizing decentralized mismatch compensator parameters. Recent results on the input/output steady‐state gain structure of the one‐degree‐of‐freedom and the two‐degrees‐of‐freedom infinite horizon LQ bumpless transfer topologies are used to show that the diagonal dominance condition applies to topologies generated by a broad class of controllers, thus completing the state/output feedback bumpless transfer technique. The topologies are also shown to be robust with respect to uncertainty in the mismatch compensator. Copyright © 2008 John Wiley & Sons, Ltd.