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Distributed controller design and performance optimization for discrete-time linear systems
Daniel Viegas1,2; Pedro Batista2; Paulo Oliveira2,3; Carlos Silvestre1
2021-01
Source PublicationOptimal Control Applications and Methods
ISSN0143-2087
Volume42Issue:1Pages:126-143
Abstract

This article addresses the problem of distributed controller design for linear discrete-time systems. The problem is posed using the classical framework of state feedback gain optimization over an infinite-horizon quadratic cost, with an additional sparsity constraint on the gain matrix to model the distributed nature of the controller. An equivalent formulation is derived that consists in the optimization of the steady-state solution of a matrix difference equation, and two algorithms for distributed gain computation are proposed based on it. The first method consists in a step-by-step optimization of said difference matrix equation, and allows for fast computation of stabilizing state feedback gains. The second algorithm optimizes the same matrix equation over a finite time window to approximate asymptotic behavior and thus minimize the infinite-horizon quadratic cost. To assess the performance of the proposed solutions, simulation results are presented for the problem of distributed control of a quadruple-tank process, as well as a version of that problem scaled up to 40 interconnected tanks.

KeywordDiscrete-time Systems Distributed Control Optimal Control
DOI10.1002/oca.2669
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaAutomation & Control Systems ; Operations Research & Management Science ; Mathematics
WOS SubjectAutomation & Control Systems ; Operations Research & Management Science ; Mathematics, Applied
WOS IDWOS:000565318100001
PublisherWILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA
Scopus ID2-s2.0-85090236399
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Citation statistics
Cited Times [WOS]:7   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING
Corresponding AuthorDaniel Viegas
Affiliation1.Department of Electrical and Computer Engineering, Faculty of Science and Technology, University of Macau, Taipa,Macao
2.Institute for Systems and Robotics (ISR),Instituto Superior Técnico,Universidade de Lisboa,Lisboa,Portugal
3.IDMEC,Instituto Superior Técnico,Universidade de Lisboa,Lisboa,Portugal
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Daniel Viegas,Pedro Batista,Paulo Oliveira,et al. Distributed controller design and performance optimization for discrete-time linear systems[J]. Optimal Control Applications and Methods,2021,42(1):126-143.
APA Daniel Viegas,Pedro Batista,Paulo Oliveira,&Carlos Silvestre.(2021).Distributed controller design and performance optimization for discrete-time linear systems.Optimal Control Applications and Methods,42(1),126-143.
MLA Daniel Viegas,et al."Distributed controller design and performance optimization for discrete-time linear systems".Optimal Control Applications and Methods 42.1(2021):126-143.
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