Generalized Hankel Interaction Index Array for Control Structure Selection for Discrete-Time MIMO Bilinear Processes and Plants

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Abstract

The control technology has been orientated towards decentralized and partially decentralized control strategies. To ensure the success of a decentralized or a partially decentralized control in practice, the first necessary step is to determine a suitable control structure. The control structure selection which is the task of selecting suitable input and output pairs for control design is therefore very important. This paper focuses on control structure selection for discrete-time MIMO bilinear systems. The generalized cross-gramian is introduced in this paper for discrete-time bilinear processes and plants. The existence of the generalized cross-gramian is studied and it is shown that if the cross-gramian exists, it can be obtained by solving a generalized Sylvester equation. To solve the generalized Sylvester equation in a computationally efficient way, an iterative method is developed and presented. The generalized cross-gramians are computed for all SISO subsystems of the discrete-time MIMO bilinear systems. These gramians are used to build the generalized Hankel Interaction Index Array which is used for control structure selection. The proposed method for control structure selection is among the few methods supporting bilinear processes and plants, enjoys the advantages of gramian based methods and it is more efficient in terms of computations compared to its counterparts.

Original languageEnglish
Title of host publicationProceedings of the 53rd IEEE Conference on Decision and Control
PublisherIEEE
Publication date2014
Pages3149-3154
ISBN (Print)978-1-4673-6090-6
DOIs
Publication statusPublished - 2014
Event2014 IEEE 53rd Annual Conference on Decision and Control (CDC) - Los Angeles , United States
Duration: 15. Dec 201417. Dec 2014
Conference number: 53

Conference

Conference2014 IEEE 53rd Annual Conference on Decision and Control (CDC)
Number53
Country/TerritoryUnited States
CityLos Angeles
Period15/12/201417/12/2014
SeriesI E E E Conference on Decision and Control. Proceedings
ISSN0743-1546

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