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

Abstract

SUMMARYThis 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 ∞ norm for the error systems. This extends the applicability of conventional -interaction measure to a more general scenario. The proposed approach is applied to a numerical example and to a simulated industrial boiler system.

Distributed control of chemical process networks

“…A significant advantage of these approaches over traditional, decentralized control systems is that interactions between unit processes can be accounted for at the regulatory control layer. This is in contrast to decentralized approaches whereby interactions between unit processes may be treated as uncertainties transforming the problem into a robust control problem i.e., [6,7]. This kind of decentralized approach can lead to poor performance as the known interactions are treated as being unknown.…”