Ellipsoidal estimation of the state of discrete control systems with the help of matrix comparison systems (Q2387071)

The authors consider discrete systems of automatic control which are presented by difference equations with indefinite nonlinearities from the sector. The problem under consideration is to construct the estimates of the set, in which the processes are at the current moment, if at the initial moment the system state belongs to the ellipsoid. This problem is being solved by the method of matrix comparison systems (MCS). The connection between the MCS and the evolutional equations of the ellipsoid method is considered. The methods and algorithms of constructing MCS and ellipsoidal estimates of discrete processes for nonlinear controllable systems are realized in MATLAB. The results are illustrated by several examples.