MIMO interaction measure and controller structure selection

Abstract

In this paper, a MIMO interaction measure is described and its use in structure selection of multivariable controllers is discussed. The proposal is built upon a gramian-based measure of interaction in multivariable plants and the results in this paper apply to stable processes. This measure provides support for decentralized input–output pairing as well as for a richer controller architecture selection in continuous and discrete-time time frameworks, including triangular, block diagonal and sparse structures.

Acknowledgements

Helpful discussions with Professor Pedro Albertos from Valencia Polytechnic University, Spain, are gratefully acknowledged. The authors are also grateful for the support received from CONICYT-Chile through grant FONDECYT-1040313.