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Robustness Analysis of Optimally Designed Feedback Control of Linear Periodic Systems With Time-Delay

[+] Author Affiliations
Jie Zhang, Jian-Qiao Sun

University of Delaware, Newark, DE

Paper No. DETC2007-34438, pp. 703-710; 8 pages
doi:10.1115/DETC2007-34438
From:
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4806-X | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME

abstract

In this paper, we present an application of a semi-discretization method to the stability and robust analysis of optimally designed PID feedback control of a periodic linear system with time delay. The semi-discretization method uses a mapping of the system response in a finite-dimensional state space. Minimization of the largest absolute value of the eigenvalues of the mapping leads to optimal control gains. The robust analysis examines the stability region of system parameters with modeling errors when the control gains are set to be the optimal ones. Extensive numerical examples of stability regions are presented in the paper.

Copyright © 2007 by ASME
Topics: Delays , Feedback , Robustness

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