TY - GEN
T1 - On the absence of rate loss in decentralized sensor and controller structure for asymptotic stability
AU - Yüksel, Serdar
AU - Başar, Tamer
PY - 2006
Y1 - 2006
N2 - We consider a noiseless multi-sensor LTI system where the initial state has a continuous density over a bounded set and the channels connecting the sensors to the controller are discrete and noiseless. We study the rate requirements for the stability of such a system. We show that when the overall system is stabilizable and detectable, the rate required for asymptotic stability is at most an arbitrarily small ∈ > 0 larger than σ|λ i|>1 log2(|λi,|), where λi's are the open-loop eigenvalues of the system. Thus, there is no loss in performance due to decentralization. We provide a sequential encoding scheme achieving this rate.
AB - We consider a noiseless multi-sensor LTI system where the initial state has a continuous density over a bounded set and the channels connecting the sensors to the controller are discrete and noiseless. We study the rate requirements for the stability of such a system. We show that when the overall system is stabilizable and detectable, the rate required for asymptotic stability is at most an arbitrarily small ∈ > 0 larger than σ|λ i|>1 log2(|λi,|), where λi's are the open-loop eigenvalues of the system. Thus, there is no loss in performance due to decentralization. We provide a sequential encoding scheme achieving this rate.
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M3 - Conference contribution
AN - SCOPUS:33845807581
SN - 1424402107
SN - 9781424402106
T3 - Proceedings of the American Control Conference
SP - 5562
EP - 5567
BT - Proceedings of the 2006 American Control Conference
T2 - 2006 American Control Conference
Y2 - 14 June 2006 through 16 June 2006
ER -