A Unified Framework for Decentralized Control Synthesis

Mohammad Naghnaeian; Petros G. Voulgaris; Nicola Elia

doi:10.23919/ECC.2018.8550564

A Unified Framework for Decentralized Control Synthesis

Mohammad Naghnaeian, Petros G. Voulgaris, Nicola Elia

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

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 language	English (US)
Title of host publication	2018 European Control Conference, ECC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2482-2487
Number of pages	6
ISBN (Electronic)	9783952426982
DOIs	https://doi.org/10.23919/ECC.2018.8550564
State	Published - Nov 27 2018
Event	16th European Control Conference, ECC 2018 - Limassol, Cyprus Duration: Jun 12 2018 → Jun 15 2018

Publication series

Name	2018 European Control Conference, ECC 2018

Other

Other	16th European Control Conference, ECC 2018
Country/Territory	Cyprus
City	Limassol
Period	6/12/18 → 6/15/18

Bibliographical note

Funding Information:
M. Naghnaeian is a postdoctoral associate at the Mechanical Engineering Department, Massachusetts Institute of Technology, Cambridge, MA, USA [email protected] P. G. Voulgaris is with the Aerospace Engineering Department and the Coordinated Science Laboratory, University of Illinois, Urbana, IL, USA [email protected], and Aerospace Engineering Department, Khalifa University, Abu Dhabi, UAE [email protected] N. Elia is with the Department of Electrical Engineering, Iowa State University, Ames, IA 50010 USA [email protected] This work is partially supported by NSF awards CMMI-1663460, ECCS-1739732, CCF-1717154, CIF-1220643, and AFOSR AF FA-9550-15-1-0119 978-3-9524-2699-9 ©2018 EUCA

Publisher Copyright:
© 2018 European Control Association (EUCA).

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10.23919/ECC.2018.8550564

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A Unified Framework for Decentralized Control Synthesis. / Naghnaeian, Mohammad; Voulgaris, Petros G.; Elia, Nicola.
2018 European Control Conference, ECC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 2482-2487 8550564 (2018 European Control Conference, ECC 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Naghnaeian, M, Voulgaris, PG & Elia, N 2018, A Unified Framework for Decentralized Control Synthesis. in 2018 European Control Conference, ECC 2018., 8550564, 2018 European Control Conference, ECC 2018, Institute of Electrical and Electronics Engineers Inc., pp. 2482-2487, 16th European Control Conference, ECC 2018, Limassol, Cyprus, 6/12/18. https://doi.org/10.23919/ECC.2018.8550564

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N2 - 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.

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A Unified Framework for Decentralized Control Synthesis

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