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Journal of Undergraduate Research

Keywords

weak structural approach, decentralized control, tractable decentralized control problems

College

Physical and Mathematical Sciences

Department

Computer Science

Abstract

The research discussed here explores the interplay between dynamical structure functions, the communication structure of a controller and the zero pattern of a controller. Precisely understanding this interplay is a necessary result to utilize dynamical structure functions to help broaden the known tractable class of decentralized control problems. The long term goal of this research is to broaden the set of tractable convex decentralized control problems by utilizing the structure encapsulated in dynamical structure functions. The research highlighted here was presented during the 2010 BYU Spring research conference and published in detail as my undergraduate honors thesis “Decentralized Control Problems: a weak structural approach”. Characterizing tractable decentralized control problems is difficult. Characterizing tractable decentralized control problems means to identify a set of decentralized control problems for which designing an optimal stabilizing controller is tractable1. Hopefully, a convenient check or condition is available to determine if an arbitrary set of problems is a subset of the ones shown to be tractable.

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