Estimation Techniques for Bilinear Control Systems

Abstract

The problem of estimating reachable sets of impulsive control systems with uncertainties in initial states and in the matrix of the system is studied. We assume that the initial states to be unknown but belong to a given star-shaped symmetric nondegenerate polytope. The matrix included in the differential equations of the system dynamics is uncertain and only bounds on admissible values of this matrix coefficients are known. We present here the approach that allow to find ellipsoidal estimates of reachable sets which uses the special structure of the bilinear control system. The algorithm of constructing such ellipsoidal set-valued estimates and numerical simulation results are given. © 2018