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The University of Southampton
CORMSIS Centre for Operational Research, Management Sciences and Information Systems

CORMSIS seminar by Roberto Armellin Event

Time:
16:00 - 17:00
Date:
20 February 2014
Venue:
B58 / 1065

For more information regarding this event, please email Prof. Joerg Fliege at J.Fliege@soton.ac.uk .

Event details

The twelfth of CORMSIS seminar series.

Title: Efficient uncertainties propagation based on differential algebra

Abstract:

The problem of nonlinear uncertainty propagation represents a crucial issue in spaceflight dynamics since all practical systems - from vehicle navigation to orbit determination or target tracking - involve nonlinearities of one kind or another. Differential algebra technique is here presented as a tool to tackle this problem. Differential algebra supplies the tools to compute the derivatives of functions within a computer environment. More specifically, by substituting the classical implementation of real algebra with the implementation of a new algebra of Taylor polynomials, any function f of n variables is expanded into its Taylor polynomial up to an arbitrary order k. This technique allows the efficient computation of high-order expansions of the flow of ordinary differential equations (with respect to initial conditions and/or model parameters) and the approximation of the solution manifold of implicit equations in Taylor series. These two features constitute the building blocks of a set of efficient algorithms for the nonlinear management of uncertainties. Applications to 1) angles- only preliminary orbit determination 2) propagation of orbital dynamics 3) nonlinear filtering 4) space conjunction prediction 5) robust optimal control are presented to prove the efficiency of the proposed technique.

Speaker information

Roberto Armellin

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