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Stabilizing Controlled Systems in the Presence of Time-delays.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Stabilizing Controlled Systems in the Presence of Time-delays./
Author:	Pardo, Isaac Becker.
Description:	1 online resource (45 pages)
Notes:	Source: Masters Abstracts International, Volume: 84-02.
Contained By:	Masters Abstracts International84-02.
Subject:	Control theory. -
Online resource:	click for full text (PQDT)
ISBN:	9798841530008

Stabilizing Controlled Systems in the Presence of Time-delays.
Pardo, Isaac Becker.

Stabilizing Controlled Systems in the Presence of Time-delays. - 1 online resource (45 pages)

Source: Masters Abstracts International, Volume: 84-02.

Thesis (M.Sc.)--Brigham Young University, 2022.

Includes bibliographical references

A dynamical system's state evolves over time, and when the system stays near a particular state this state is known as a stable state of the system. Through control methods, dynamical systems can be manipulated such that virtually any state can be made stable. Although most real systems evolve continuously in time the application of digital control methods to these systems is inherently discrete. States are sampled (with sensors) and fed back into the system in discrete-time to determine the input needed to control the continuous system. Additionally, dynamical systems often experience time delays. Some examples of time delays are delays due to transmission distances, processing software, sampling information, and many more. Such delays are often a cause of poor performance and, at times, instability in these systems. Recently a criterion referred to as intrinsic stability has been developed that ensures that a dynamic system cannot be destabilized by delays. The goal of this thesis is to broaden the definition of intrinsic stability to closed-loop systems, which are systems in which the control depends on the state of the system, and to determine control parameters that optimize this resilience to time delays. Here, we give criteria describing when a closed-loop system is intrinsically stable. This allows us to give examples in which systems controlled using Linear Quadratic Regulator (LQR) control can be made intrinsically stable.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2024

Mode of access: World Wide Web

ISBN: 9798841530008Subjects--Topical Terms:

527674
Control theory.
Index Terms--Genre/Form:

554714
Electronic books.

Stabilizing Controlled Systems in the Presence of Time-delays.
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245 1 0 $a Stabilizing Controlled Systems in the Presence of Time-delays.
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500 $a Source: Masters Abstracts International, Volume: 84-02.
500 $a Advisor: Webb, Ben;Whitehead, Jared;Killpack, Marc.
502 $a Thesis (M.Sc.)--Brigham Young University, 2022.
504 $a Includes bibliographical references
520 $a A dynamical system's state evolves over time, and when the system stays near a particular state this state is known as a stable state of the system. Through control methods, dynamical systems can be manipulated such that virtually any state can be made stable. Although most real systems evolve continuously in time the application of digital control methods to these systems is inherently discrete. States are sampled (with sensors) and fed back into the system in discrete-time to determine the input needed to control the continuous system. Additionally, dynamical systems often experience time delays. Some examples of time delays are delays due to transmission distances, processing software, sampling information, and many more. Such delays are often a cause of poor performance and, at times, instability in these systems. Recently a criterion referred to as intrinsic stability has been developed that ensures that a dynamic system cannot be destabilized by delays. The goal of this thesis is to broaden the definition of intrinsic stability to closed-loop systems, which are systems in which the control depends on the state of the system, and to determine control parameters that optimize this resilience to time delays. Here, we give criteria describing when a closed-loop system is intrinsically stable. This allows us to give examples in which systems controlled using Linear Quadratic Regulator (LQR) control can be made intrinsically stable.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2024
538 $a Mode of access: World Wide Web
650 4 $a Control theory. $3 527674
650 4 $a Systems stability. $3 1437824
650 4 $a Dynamical systems. $3 1249739
650 4 $a Closed loop systems. $3 1466760
650 4 $a Optimization. $3 669174
650 4 $a Equilibrium. $3 680633
650 4 $a Engineers. $3 573913
650 4 $a Mathematics. $3 527692
650 4 $a Systems science. $3 1148479
650 4 $a Eigenvalues. $3 527710
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710 2 $a Brigham Young University. $3 1187870
773 0 $t Masters Abstracts International $g 84-02.
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