Robust trajectory estimation for a maneuvering aircraft under constraints on the acceleration vector

Аuthors

Mamayev A. A.^1*, Semenikhin K. V.^2**

1. Innovatsion Firm SNIIP-Atom, 5, Paspletina St., Moscow, 123060, Russia
2. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: mamaevartem@gmail.ru
**e-mail: siemenkv@rambler.ru

Abstract

The problem of a robust trajectory estimation for a maneuvering aircraft from the range and direction cosine measurements is studied in account for unknown parameters constraints.
The problem of aircraft trajectory estimation is studied in the minimax framework. Using the ellipsoidal constraints on the acceleration vector, the minimax formulation of the estimation problem is obtained. The numerical algorithm designed for trajectory estimation is based on usage of the semidefinite-programming solvers implemented in MATLAB.
The estimation algorithm is designed on the basis of the convex optimization theory. The efficiency of the obtained solutions is illustrated by the means of computer simulation.
The designed estimation algorithm might appear very efficient if the number of measurements is too few or the useful signal model is specified by large quantity of unknown parameters.
The minimax formulation of the estimation problem is reduced to the convex program with a linear objective and LMI constraints (LMI — linear matrix inequality).
The minimax Formulation of the estimation problem is reduced to the convex program with linear objective and LMI constraints (LMI-kinear matrix inequity).

Keywords:

observation model, minimax estimation, robust estimate, ellipsoidal constraints, semidefinite programming

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