TY - CHAP

T1 - Hybrid Quantised Observer for Multi-input-multi-output Nonlinear Systems

AU - Fradkov, A. L.

AU - Andrievskiy, B. R.

N1 - Publisher Copyright: © 2010 by World Scientific Publishing Co. Pte. Ltd.

PY - 2010/1/1

Y1 - 2010/1/1

N2 - The problem of state estimation with limited information capacity of the coupling channel for oscillatory multi-input-multi-output nonlinear systems is analyzed for systems in Lurie form (linear part plus nonlinearity depending only on measurable outputs) with first-order coder-decoder. It is shown that for oscillatory systems the upper bound of the limit estimation error is proportional to the maximum rate of the coupling signal and inversely proportional to the information transmission rate (channel capacity). The results are applied to state estimation of a 3rd order nonlinear system: Self-excited mechanical oscillator.

AB - The problem of state estimation with limited information capacity of the coupling channel for oscillatory multi-input-multi-output nonlinear systems is analyzed for systems in Lurie form (linear part plus nonlinearity depending only on measurable outputs) with first-order coder-decoder. It is shown that for oscillatory systems the upper bound of the limit estimation error is proportional to the maximum rate of the coupling signal and inversely proportional to the information transmission rate (channel capacity). The results are applied to state estimation of a 3rd order nonlinear system: Self-excited mechanical oscillator.

UR - http://www.scopus.com/inward/record.url?scp=84873197696&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:84873197696

SN - 9789814282314

SP - 89

EP - 102

BT - Dynamics and Control of Hybrid Mechanical Systems

PB - WORLD SCIENTIFIC PUBL CO PTE LTD

ER -