Advanced

Optimal control for systems with varying sampling rate

Schinkel, Michael; Chen, Wen-Hua and Rantzer, Anders LU (2002) In Proceedings of the 2002 American Control Conference, 2002. 4. p.2979-2984
Abstract
The paper addresses the aspects of control of real time systems with varying sampling rate. An example is given in which a stable continuous system is sampled at two different sampling rates. Two controllers are designed to minimize the same continuous quadratic loss function with the same weights. It is shown that although the design leads to stable controlled closed loop systems, for both discretizations, the resulting system can be unstable due to variations in sampling rate. To avoid that problem, we suggest an optimal controller design in which a bound on the cost, for all possible sampling rate variations, is computed. This results in a piecewise constant state feedback control law and guarantees stability regardless of the... (More)
The paper addresses the aspects of control of real time systems with varying sampling rate. An example is given in which a stable continuous system is sampled at two different sampling rates. Two controllers are designed to minimize the same continuous quadratic loss function with the same weights. It is shown that although the design leads to stable controlled closed loop systems, for both discretizations, the resulting system can be unstable due to variations in sampling rate. To avoid that problem, we suggest an optimal controller design in which a bound on the cost, for all possible sampling rate variations, is computed. This results in a piecewise constant state feedback control law and guarantees stability regardless of the variations in sampling rate. The controller synthesis is cast into an LMI, which conveniently solves the synthesis problem. To illustrate the procedure, the introduction example is revised using the proposed LMI synthesis method and the stable control law is given, which is robustly stable against variations in sampling rate. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
real-time systems, optimal control, matrix algebra, closed loop systems, control system synthesis, state feedback, sampled data systems
in
Proceedings of the 2002 American Control Conference, 2002.
volume
4
pages
2979 - 2984
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:0036060752
ISSN
0743-1619
ISBN
0-7803-7298-0
DOI
10.1109/ACC.2002.1025245
language
English
LU publication?
yes
id
209e23a9-ee9e-4950-a5ce-f0443abf9bf8 (old id 537718)
date added to LUP
2007-09-25 10:07:04
date last changed
2017-02-19 04:16:20
@inproceedings{209e23a9-ee9e-4950-a5ce-f0443abf9bf8,
  abstract     = {The paper addresses the aspects of control of real time systems with varying sampling rate. An example is given in which a stable continuous system is sampled at two different sampling rates. Two controllers are designed to minimize the same continuous quadratic loss function with the same weights. It is shown that although the design leads to stable controlled closed loop systems, for both discretizations, the resulting system can be unstable due to variations in sampling rate. To avoid that problem, we suggest an optimal controller design in which a bound on the cost, for all possible sampling rate variations, is computed. This results in a piecewise constant state feedback control law and guarantees stability regardless of the variations in sampling rate. The controller synthesis is cast into an LMI, which conveniently solves the synthesis problem. To illustrate the procedure, the introduction example is revised using the proposed LMI synthesis method and the stable control law is given, which is robustly stable against variations in sampling rate.},
  author       = {Schinkel, Michael and Chen, Wen-Hua and Rantzer, Anders},
  booktitle    = {Proceedings of the 2002 American Control Conference, 2002.},
  isbn         = {0-7803-7298-0},
  issn         = {0743-1619},
  keyword      = {real-time systems,optimal control,matrix algebra,closed loop systems,control system synthesis,state feedback,sampled data systems},
  language     = {eng},
  pages        = {2979--2984},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {Optimal control for systems with varying sampling rate},
  url          = {http://dx.doi.org/10.1109/ACC.2002.1025245},
  volume       = {4},
  year         = {2002},
}