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Optimal Decentralized Control with D...

Kashyap, Mruganka.

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Optimal Decentralized Control with Delays.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimal Decentralized Control with Delays./
Author:	Kashyap, Mruganka.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2023,
Description:	101 p.
Notes:	Source: Dissertations Abstracts International, Volume: 85-02, Section: B.
Contained By:	Dissertations Abstracts International85-02B.
Subject:	Electrical engineering. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30531335
ISBN:	9798380158954

Optimal Decentralized Control with Delays.
Kashyap, Mruganka.

Optimal Decentralized Control with Delays. - Ann Arbor : ProQuest Dissertations & Theses, 2023 - 101 p.

Source: Dissertations Abstracts International, Volume: 85-02, Section: B.

Thesis (Ph.D.)--Northeastern University, 2023.

This item must not be sold to any third party vendors.

We consider a cooperative control problem for a set of dynamically decoupled linear plants where their (output-feedback) sub-controllers communicate with each other according to a fixed and known network topology, to optimize a global objective. Each transmission is associated with a fixed time delay incurred due to information propagation and processing. This is a challenging problem because of the decentralized information-sharing pattern and because continuous-time delays do not have rational transfer functions. We provide an explicit closed-form expression for the optimal decentralized controller and its associated cost under these communication constraints and standard Linear Quadratic Gaussian (LQG) assumptions for the plants and cost function. We find the exact solution without discretizing or otherwise approximating the delays. We also present an implementation of each sub-controller that is efficiently computable and representable, is composed of standard finite-dimensional linear time-invariant (LTI) and finite impulse response (FIR) components, and has an intuitive observer-regulator architecture reminiscent of the classical separation principle.We also investigate the robustness properties of decentralized linear quadratic regulators (LQR). The classical, single-gent LQR compensators enjoy guaranteed stability margins, whereas LQG regulators do not. In the decentralized case, the optimal LQR compensator is dynamic and is similar to a classical LQG compensator. We show that when sub-controller input costs are decoupled (but there is possible coupling between sub-controller state costs), the decentralized LQR compensator enjoys similar guaranteed stability margins to classical LQR. However, these guarantees disappear when cost coupling is introduced.

ISBN: 9798380158954Subjects--Topical Terms:

649834
Electrical engineering.
Subjects--Index Terms:

Cooperative control

Optimal Decentralized Control with Delays.
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100 1 $a Kashyap, Mruganka. $3 3765033
245 1 0 $a Optimal Decentralized Control with Delays.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2023
300 $a 101 p.
500 $a Source: Dissertations Abstracts International, Volume: 85-02, Section: B.
500 $a Advisor: Lessard, Laurent.
502 $a Thesis (Ph.D.)--Northeastern University, 2023.
506 $a This item must not be sold to any third party vendors.
520 $a We consider a cooperative control problem for a set of dynamically decoupled linear plants where their (output-feedback) sub-controllers communicate with each other according to a fixed and known network topology, to optimize a global objective. Each transmission is associated with a fixed time delay incurred due to information propagation and processing. This is a challenging problem because of the decentralized information-sharing pattern and because continuous-time delays do not have rational transfer functions. We provide an explicit closed-form expression for the optimal decentralized controller and its associated cost under these communication constraints and standard Linear Quadratic Gaussian (LQG) assumptions for the plants and cost function. We find the exact solution without discretizing or otherwise approximating the delays. We also present an implementation of each sub-controller that is efficiently computable and representable, is composed of standard finite-dimensional linear time-invariant (LTI) and finite impulse response (FIR) components, and has an intuitive observer-regulator architecture reminiscent of the classical separation principle.We also investigate the robustness properties of decentralized linear quadratic regulators (LQR). The classical, single-gent LQR compensators enjoy guaranteed stability margins, whereas LQG regulators do not. In the decentralized case, the optimal LQR compensator is dynamic and is similar to a classical LQG compensator. We show that when sub-controller input costs are decoupled (but there is possible coupling between sub-controller state costs), the decentralized LQR compensator enjoys similar guaranteed stability margins to classical LQR. However, these guarantees disappear when cost coupling is introduced.
590 $a School code: 0160.
650 4 $a Electrical engineering. $3 649834
650 4 $a Systems science. $3 3168411
653 $a Cooperative control
653 $a Decentralized control
653 $a Delay systems
653 $a Multi-agent systems
653 $a Optimal control
653 $a Robust control
690 $a 0544
690 $a 0790
710 2 $a Northeastern University. $b Electrical and Computer Engineering. $3 1018491
773 0 $t Dissertations Abstracts International $g 85-02B.
790 $a 0160
791 $a Ph.D.
792 $a 2023
793 $a English
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30531335