Title :
Rate-distortion in closed-loop LTI systems
Author :
Silva, Eduardo I. ; Derpich, Milan S. ; Ostergaard, Jacob
Author_Institution :
Dept. of Electron. Eng., Univ. Tec. Federico Santa Maria, Valparaiso, Chile
Abstract :
We consider a networked LTI system subject to an average data-rate constraint in the feedback path. We provide upper bounds to the minimal source coding rate required to achieve mean square stability and a desired level of performance. In the quadratic Gaussian case, an almost complete rate-distortion characterization is presented.
Keywords :
closed loop systems; distributed parameter systems; feedback; linear quadratic Gaussian control; mean square error methods; networked control systems; rate distortion theory; source coding; stability; average data-rate constraint; closed-loop LTI systems; feedback path; mean square stability; minimal source coding rate; networked LTI system; networked control system; performance level; quadratic Gaussian case; rate-distortion characterization; Decoding; Networked control systems; Optimization; Rate-distortion; Signal to noise ratio; Source coding;
Conference_Titel :
Information Theory and Applications Workshop (ITA), 2013
Conference_Location :
San Diego, CA
Print_ISBN :
978-1-4673-4648-1
DOI :
10.1109/ITA.2013.6502964