Optimal control for systems with varying sampling rate
(2002) In Proceedings of the 2002 American Control Conference, 2002. 4. p.29792984 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:
http://lup.lub.lu.se/record/537718
 author
 Schinkel, Michael; Chen, WenHua and Rantzer, Anders ^{LU}
 organization
 publishing date
 2002
 type
 Chapter in Book/Report/Conference proceeding
 publication status
 published
 subject
 keywords
 realtime 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
 IEEEInstitute of Electrical and Electronics Engineers Inc.
 external identifiers

 scopus:0036060752
 ISSN
 07431619
 ISBN
 0780372980
 DOI
 10.1109/ACC.2002.1025245
 language
 English
 LU publication?
 yes
 id
 209e23a9ee9e4950a5cef0443abf9bf8 (old id 537718)
 date added to LUP
 20070925 10:07:04
 date last changed
 20170219 04:16:20
@inproceedings{209e23a9ee9e4950a5cef0443abf9bf8, 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, WenHua and Rantzer, Anders}, booktitle = {Proceedings of the 2002 American Control Conference, 2002.}, isbn = {0780372980}, issn = {07431619}, keyword = {realtime systems,optimal control,matrix algebra,closed loop systems,control system synthesis,state feedback,sampled data systems}, language = {eng}, pages = {29792984}, publisher = {IEEEInstitute 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}, }