Hybrid quantised observer for multi-input-multi-output nonlinear systems

Abstract

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 bound of limit estimation error is proportional to the maximum rate of the coupling signal and inversely proportional to the information transmission ra..