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ROBUST CONTROL OF PERIODICALLY TIME-VARYING
SYSTEMS
by
Serkan Kalender
A Dissertation Presented to the
FACULTY OF THE GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(MECHANICAL ENGINEERING)
December 2007
Copyright 2007 Serkan Kalender
Object Description
| Title | Robust control of periodically time-varying systems |
| Author | Kalender, Serkan |
| Author email | kalender@usc.edu |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Mechanical Engineering |
| School | Viterbi School of Engineering |
| Date defended/completed | 2007-04-09 |
| Date submitted | 2007 |
| Restricted until | Unrestricted |
| Date published | 2007-09-17 |
| Advisor (committee chair) | Flashner, Henryk |
| Advisor (committee member) |
Yang, Bingen Ioannou, Petros |
| Abstract | In this dissertation, a practical control design method for linear periodically time varying systems is presented. The method is based on parametrization of control, and obtaining an equivalent discrete-time control system via a point-mapping computational algorithm. The design method simplifies the design procedure, and guarantees asymptotic stability of the closed loop system. In addition, the designed controllers can directly be implemented digitally. Moreover, it is shown that the method can easily be applied to various control configurations, as well as multi-rate configurations. The design method is then extended for analysis of robustness of the control design with respect to plant parametric uncertainties. This is achieved by computation of approximate discrete time dynamics of the perturbed system by truncated point-mappings. By computing an upper norm bound on the error due truncated approximations, the robustness analysis of the system due to parametric uncertainties is formulated as a discrete time structured singular value problem. Simulation studies with mathematical models as well as engineering application models, show good performance of the control system design method and demonstrate the ability of the extension of the method to assess the robustness of the closed-loop system with respect to parametric uncertainties. |
| Keyword | robust control; time-periodic systems; control vector parametrization; point-mapping; sampled-data Systems; parametric uncertainties; structured singular value theory |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Type | texts |
| Legacy record ID | usctheses-m822 |
| Rights | Kalender, Serkan |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/ |
| Filename | etd-Kalender-20070917 |
| Archival file | uscthesesreloadpub_Volume32/etd-Kalender-20070917.pdf |
Description
| Title | Page 1 |
| Full text | ROBUST CONTROL OF PERIODICALLY TIME-VARYING SYSTEMS by Serkan Kalender A Dissertation Presented to the FACULTY OF THE GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (MECHANICAL ENGINEERING) December 2007 Copyright 2007 Serkan Kalender |
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