Estimation Problem for Linear Impulsive Control Systems
The paper deals with the state estimation problem for impulsive control system described by linear differential equations containing impulsive terms (or measures).
The problem is studied under uncertainty conditions with set --- membership description of uncertain variables, which are taken to be unknown but bounded with given bounds (e.g., the model may contain unpredictable errors without their statistical description).
Basing on the techniques of approximation of the generalized trajectory tubes by the solutions of usual differential systems without measure terms and using the techniques of ellipsoidal calculus we present here a new state estimation algorithms for the studied impulsive control problem.
The examples of construction of such ellipsoidal external estimates of reachable sets and trajectory tubes of linear impulsive control systems are given.