Issue 183, article 4

Gubarev Viacheslav F., Corresponding Member of NAS of Ukraine, Dr Technics, Head of Control of Dynamic Systems Department of Space Research Institute the National Academy of Sciences of Ukraine and of State Space Agency of Ukraine, av.Acad.Glushkova, 40, build. 4/1, c. Kiev, 03680,

Diadenko O.N., Postgraduate (PG) of National Technical University of Ukraine “Kiev Polytechnical Institute”, av. Pobedy, 37, Kiev, 03056,

OBSERVABILITY ANALYSIS OF SPACECRAFTS’ ATTITUDE MEASUREMENT SYSTEMS. Kibernetika i vyčislitel’naâ tehnika, 2016, issue 183, pp.51-68.

Introduction. One of the important tasks for small spacecrafts is the optimization of onboard measurement equipment, which on the one hand is not excessive and on the other — allows to estimate all attitude parameters with required accuracy.

The purpose of the artecle is to conduct observability analysis of the most commonly used measurement systems, such as magnetometer, star and angular velocity sensors, local vertical builder in order to identify the minimum required set of onboard measurement equipment, which ensures observability of the spacecraft.

Approach and Methods. Measurement systems observability assessment utilizes existing methods of dynamic systems observability theory and is based on observation and spacecraft’s angular motion equations. Model of the spacecraft’s motion is described using quaternion components as positional parameters. Since the models are essentially nonlinear, obtaining the overall global observability conditions for such system is a complex problem. Therefore, linearization procedure is applied and local observability conditions are assessed based on the rank and condition numbers of observability matrices of the linear approximation.

Results. Astro-measurement system ensures the most effective observability and may be used as the simplest measurement system. Magnetometer with three orthogonal magnetically sensitive probes does not ensure practical observability of the system, unless local vertical builder is added.

Keywords: State estimation, observability, quarternion, spacecraft, magnetometer, star sensor, local vertical builder.

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Received 21.12.2015