Set-valued Observers for Constrained State Estimation of Discrete-time Systems with Quantized Measurements

HERNAN HAIMOVICH; GRAHAM C. GOODWIN; JAMES S. WELSH

Melbourne, Australia

Conferencia; 5th Asian Control Conference (ASCC); 2004

We describe a recursive set-valued observer for discrete-time linear systems with quantized measurements. The observer is aimed at obtaining the smallest set-valued state estimate at every sampling instant. We limit computational complexity by deploying a block moving horizon strategy. Starting with a simple case, we incrementally enhance the observer design in order to improve performance in the presence of measurement noise, model inaccuracy and disturbances. We also implement a simple observer/controller strategy and demonstrate its performance by means of a simulation example.