Multi-loop control synthesis for unstable systems and its application: An approach based on mu interaction measure

摘要

This paper presents a new practical framework for multi-loop controller design in which controllers are designed independently, i.e. a controller in one loop is designed without exploiting information of other controllers. The method is based on the (block) diagonal approximation of a system that is different from its (block) diagonal elements. The focus of this work is on unstable systems and the approximated systems are obtained by minimizing an upper bound of a scaled L-infinity norm for the error systems. This extends the applicability of conventional mu-interaction measure to a more general scenario. The proposed approach is applied to a numerical example and to a simulated industrial boiler system. Copyright (C) 2008 John Wiley & Sons, Ltd.