DocumentCode :
3537725
Title :
Optimal design of a class of controllers and data-dropout compensators for LTI plants controlled over erasure channels
Author :
Silva, Eduardo I. ; Vargas, Francisco J. ; Maass, Alejandro I.
Author_Institution :
Dept. de Electron., Univ. Tec. Federico Santa Maria, Valparaiso, Chile
fYear :
2013
fDate :
10-13 Dec. 2013
Firstpage :
6741
Lastpage :
6746
Abstract :
We consider the control of linear time-invariant (LTI) systems over erasure channels. We propose a class of controllers where, besides memoryless dependency on the plant to controller channel state, all processing is affine (and possibly time-varying). For such controller class, we show that optimal designs separate into an estimation problem and a linear quadratic regulator problem. The structure of the optimal controller is such that its affine part converges, as the horizon length tends to infinity, to an LTI filter under the same conditions which guarantee mean-square stability in the now well-known LQG control problem over erasure channels. Our infinite horizon proposal is computationally inexpensive and its steady-state behavior is easily characterized.
Keywords :
compensation; control system synthesis; infinite horizon; linear quadratic control; stability; LQG control problem; LTI filter; LTI plants; NCS; controller channel state; data-dropout compensators; erasure channels; horizon length; infinite horizon proposal; linear quadratic regulator problem; linear time-invariant systems; mean-square stability; memoryless dependency; networked control systems; optimal controller; optimal design; steady-state behavior; time-varying system; Channel state information; Optimal control; Optimized production technology; Process control; State estimation; Upper bound;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
ISSN :
0743-1546
Print_ISBN :
978-1-4673-5714-2
Type :
conf
DOI :
10.1109/CDC.2013.6760957
Filename :
6760957
Link To Document :
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