Dissertation/Thesis Abstract

Geometric Description of the Stabilizing PID Control Set
by Mahzoon, Salma, M.S., Southern Illinois University at Edwardsville, 2013, 66; 1545763
Abstract (Summary)

This thesis describes the global geometric structure of stabilizing set through D-subdivision method. The critical step is to find the set of PID parameters with imaginary closed-loop poles (characteristic roots). This set is a ruled surface in the parameter space, and is known as the crossing surface, in the space with the proportional gain as the vertical axis. As will be shown, this crossing surface is completely determined by its discriminant, i.e., the curve consisting of points with vertical tangent plane. Such a method may be used to a very large class of plants.

Indexing (document details)
Advisor: Gu, Keqin
Commitee: Gu, Keqin, Krauss, Ryan, Wang, Fengxia
School: Southern Illinois University at Edwardsville
Department: Mechanical and Industrial Engineering
School Location: United States -- Illinois
Source: MAI 52/02M(E), Masters Abstracts International
Subjects: Mechanical engineering
Keywords: Geometric, Pid controllers, Stability
Publication Number: 1545763
ISBN: 978-1-303-42078-8
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