Balázs Kulcsár

Constrained split rate estimation by moving horizon

Abstract The paper presents a method for the constrained Moving Horizon Estimation of origin-destination (OD) matrices for traffic networks. In traffic systems split ratios are important parameters for OD estimation and for control problems as well. The paper treats the general constrained Moving Horizon Estimation problem for traffic systems modelled in terms of linear time varying system and solves the split rate estimation process. The estimation is subjected to equality and inequality constraints. A numerical example is solved to demonstrate the Moving Horizon Estimation of split variables.

On the detection of unknown input in positional control problems with noisy measurements

Abstract The paper examines the conditions for isolating the unknown input detection from the effects of the measurements noise in the important family of positional control problems. The study is motivated by the need of improving the homing performance of interceptor missiles against randomly maneuvering targets. The required isolation is possible if, in addition to noisy relative position measurements, noise-free measurement of the line of slight rate or the relative lateral velocity is available. Although with noisy measurement of line of slight rate the isolation of the input is not possible, the detection filter designed for the noise-free case succeeds to provide a satisfactory estimate of target acceleration, which is needed for an improved homing performance.