File Download
  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Optimal estimation and control for lossy network: stability, convergence, and performance

TitleOptimal estimation and control for lossy network: stability, convergence, and performance
Authors
Issue Date2017
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9
Citation
IEEE Transactions on Automatic Control, 2017, v. 62 n. 9, p. 4564-4579 How to Cite?
AbstractIn this paper, we study the problems of optimal estimation and control, i.e., the linear quadratic Gaussian (LQG) control, for systems with packet losses but without acknowledgment. Such acknowledgment is a signal sent by the actuator to inform the estimator of the incidence of control packet losses. For such system, which is usually called as a User Datagram Protocol (UDP)-like system, the optimal estimation is nonlinear and its calculation is time-consuming, making its corresponding optimal LQG problem complicated. We first propose two conditions: 1) the sensor has some computation abilities; and 2) the control command, exerted to the plant, is known to the sensor. For a UDP-like system satisfying these two conditions, we derive the optimal estimation. By constructing the finite and infinite product probability measure spaces for the estimation error covariances (EEC), we give the stability condition for the expected EEC, and show the existence of a measurable function to which the EEC converges in distribution, and propose some practical methods to evaluate the estimation performance. Finally, the LQG controllers are derived, and the conditions for the mean square stability of the closed-loop system are established.
Persistent Identifierhttp://hdl.handle.net/10722/243147
ISSN
2017 Impact Factor: 5.007
2015 SCImago Journal Rankings: 4.238
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLin, H-
dc.contributor.authorSu, H-
dc.contributor.authorShi, P-
dc.contributor.authorShu, Z-
dc.contributor.authorLu, R-
dc.contributor.authorWu, ZG-
dc.date.accessioned2017-08-25T02:50:41Z-
dc.date.available2017-08-25T02:50:41Z-
dc.date.issued2017-
dc.identifier.citationIEEE Transactions on Automatic Control, 2017, v. 62 n. 9, p. 4564-4579-
dc.identifier.issn0018-9286-
dc.identifier.urihttp://hdl.handle.net/10722/243147-
dc.description.abstractIn this paper, we study the problems of optimal estimation and control, i.e., the linear quadratic Gaussian (LQG) control, for systems with packet losses but without acknowledgment. Such acknowledgment is a signal sent by the actuator to inform the estimator of the incidence of control packet losses. For such system, which is usually called as a User Datagram Protocol (UDP)-like system, the optimal estimation is nonlinear and its calculation is time-consuming, making its corresponding optimal LQG problem complicated. We first propose two conditions: 1) the sensor has some computation abilities; and 2) the control command, exerted to the plant, is known to the sensor. For a UDP-like system satisfying these two conditions, we derive the optimal estimation. By constructing the finite and infinite product probability measure spaces for the estimation error covariances (EEC), we give the stability condition for the expected EEC, and show the existence of a measurable function to which the EEC converges in distribution, and propose some practical methods to evaluate the estimation performance. Finally, the LQG controllers are derived, and the conditions for the mean square stability of the closed-loop system are established.-
dc.languageeng-
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9-
dc.relation.ispartofIEEE Transactions on Automatic Control-
dc.rights©2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.-
dc.titleOptimal estimation and control for lossy network: stability, convergence, and performance-
dc.typeArticle-
dc.identifier.emailLin, H: lhzju@hku.hk-
dc.description.naturepostprint-
dc.identifier.doi10.1109/TAC.2017.2672729-
dc.identifier.hkuros274495-
dc.identifier.volume62-
dc.identifier.issue9-
dc.identifier.spage4564-
dc.identifier.epage4579-
dc.identifier.isiWOS:000408569300019-
dc.publisher.placeUnited States-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats