Files in this item
|(no description provided)|
|Title:||The design of low-order controllers using the Frobenius-Hankel norm|
|Author(s):||Ramaker, Russell Allen|
|Doctoral Committee Chair(s):||Perkins, William R.|
|Department / Program:||Electrical Engineering|
|Degree Granting Institution:||University of Illinois at Urbana-Champaign|
|Subject(s):||Engineering, Electronics and Electrical|
|Abstract:||The problem of determining robust, low order controllers which achieve stability and disturbance attenuation is considered. This is an important problem for the control of very high order structures where a full order controller is inappropriate.
To address this problem, an approach using the Frobenius-Hankel (FH) norm is developed. The FH norm is shown to lead to attractive robustness and performance properties. A parameter optimization method is developed which provides an iterative method for determining the FH optimal parameters of a dynamic system using a gradient approach.
Two distinct controller design methods are presented which make use of the FN optimization procedure. The first approach determines a controller which minimizes the FH norm of the closed loop system. While the solution method is iterative, the procedure proves to be straightforward to apply.
The second approach uses projective controls as a first step in the design. This allows the designer to take advantage of the attractive features of projective controls. Design parameters in the controllers are then determined by solving the FH optimization problem called the "auxiliary minimization problem."
Examples of each approach are given, including a full design problem for the control of a flexible structure using the projective controls approach. The resulting improvement in the disturbance attenuation of the system using only second order controllers points to the effectiveness of this design procedure.
|Rights Information:||Copyright 1990 Ramaker, Russell Allen|
|Date Available in IDEALS:||2011-05-07|
|Identifier in Online Catalog:||AAI9026299|
This item appears in the following Collection(s)
Dissertations and Theses - Electrical and Computer Engineering
Dissertations and Theses in Electrical and Computer Engineering
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois