A Unified Framework for Decentralized Control Synthesis

Mohammad Naghnaeian, Petros G. Voulgaris, Nicola Elia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper deals with the problem of decentralized control synthesis. We seek to find structured controllers that are stably realizable over the underlying network. We address the problem using an operator form of discrete-time linear systems. This allows for uniform treatment of various classes of linear systems, e.g., Linear Time Invariant (LTI), Linear Time Varying (LTV), or linear switched systems. We combine this operator representation for linear systems with the classical Youla parameterization to characterize the set of stably realizable controllers for a given network structure. We show that if the structure satisfies certain subspace like assumptions, then both the stability and performance problems can be formulated as convex optimization and more precisely as tractable model-matching problems. Furthermore, we show that the structured controllers found from our approach can be stably realized over the network.

Original languageEnglish (US)
Title of host publication2018 European Control Conference, ECC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2482-2487
Number of pages6
ISBN (Electronic)9783952426982
DOIs
StatePublished - Nov 27 2018
Event16th European Control Conference, ECC 2018 - Limassol, Cyprus
Duration: Jun 12 2018Jun 15 2018

Publication series

Name2018 European Control Conference, ECC 2018

Other

Other16th European Control Conference, ECC 2018
CountryCyprus
CityLimassol
Period6/12/186/15/18

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization

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  • Cite this

    Naghnaeian, M., Voulgaris, P. G., & Elia, N. (2018). A Unified Framework for Decentralized Control Synthesis. In 2018 European Control Conference, ECC 2018 (pp. 2482-2487). [8550564] (2018 European Control Conference, ECC 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ECC.2018.8550564