HYBRID QUANTISED OBSERVER FOR OSCILLATORY MULTI-INPUT-MULTI-OUTPUT NONLINEAR SYSTEMS
Alexander Fradkov, Boris Andrievsky, Rob Evans
Limit possibilities of state estimation
under information constraints (limited information capacity of the
coupling channel) for multi-input-multi-output (MIMO) nonlinear systems are evaluated.
We give theoretical analysis for
state estimation of nonlinear systems represented in Lurie
form (linear part plus nonlinearity depending only on measurable
outputs) with a first-order coder-decoder. It is shown that the upper bound of the limit
estimation error is proportional to the upper bound of
the transmission error. As a consequence, the upper and lower
bounds of limit
estimation error are 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 nonlinear self-excited mechanical oscillator.