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Article: Optimal estimation and control for lossy network: stability, convergence, and performance
Title | Optimal estimation and control for lossy network: stability, convergence, and performance |
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Authors | |
Keywords | Linear quadratic Gaussian (LQG) networked control systems optimal estimation and control packet loss smart sensor user datagram protocol (UDP)-like system |
Issue Date | 2017 |
Publisher | IEEE. 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? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/243147 |
ISSN | 2023 Impact Factor: 6.2 2023 SCImago Journal Rankings: 4.501 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Lin, H | - |
dc.contributor.author | Su, H | - |
dc.contributor.author | Shi, P | - |
dc.contributor.author | Shu, Z | - |
dc.contributor.author | Lu, R | - |
dc.contributor.author | Wu, ZG | - |
dc.date.accessioned | 2017-08-25T02:50:41Z | - |
dc.date.available | 2017-08-25T02:50:41Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | IEEE Transactions on Automatic Control, 2017, v. 62 n. 9, p. 4564-4579 | - |
dc.identifier.issn | 0018-9286 | - |
dc.identifier.uri | http://hdl.handle.net/10722/243147 | - |
dc.description.abstract | In 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.language | eng | - |
dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9 | - |
dc.relation.ispartof | IEEE 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.subject | Linear quadratic Gaussian (LQG) | - |
dc.subject | networked control systems | - |
dc.subject | optimal estimation and control | - |
dc.subject | packet loss | - |
dc.subject | smart sensor | - |
dc.subject | user datagram protocol (UDP)-like system | - |
dc.title | Optimal estimation and control for lossy network: stability, convergence, and performance | - |
dc.type | Article | - |
dc.identifier.email | Lin, H: lhzju@hku.hk | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1109/TAC.2017.2672729 | - |
dc.identifier.scopus | eid_2-s2.0-85029893630 | - |
dc.identifier.hkuros | 274495 | - |
dc.identifier.volume | 62 | - |
dc.identifier.issue | 9 | - |
dc.identifier.spage | 4564 | - |
dc.identifier.epage | 4579 | - |
dc.identifier.isi | WOS:000408569300019 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0018-9286 | - |