Determination of 3D angular rates using two-axis measurements

Marcelo C. Algrain

doi:10.1117/12.210436

26 May 1995 Determination of 3D angular rates using two-axis measurements

Marcelo C. Algrain

Proceedings Volume 2468, Acquisition, Tracking, and Pointing IX; (1995) https://doi.org/10.1117/12.210436
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

Abstract

This paper describes a new observer design method that allows for estimating the angular rates along a vehicle's three principal axes. This method uses measurements from a single two-axis angular rate sensor (gyro) and determines the rates for the third axis by using a nonlinear observer. Unlike conventional approaches where the equations governing vehicle motion (Euler's equations) are linearized and then an observer is constructed based on the linear model, this method does not require linearization of the system. Instead, a pseudo-linear representation is used. The pseudo-linear model is obtained by systematically decomposing a nonlinear system into linear and nonlinear terms. The nonlinear components are then redefined as an auxiliary set of state variables and/or inputs. This leads to an augmented linear system representation that is mathematically equivalent to the original nonlinear system. This method allows standard linear observer design techniques to be applied, and it develops observers that are capable of estimating the third-axis angular rates using measurements corresponding to the other two axes. The method's effectiveness is illustrated with an example. The case studied is the complete attitude rate determination and control of a spinning spacecraft. Computer simulation results show that the new approach provides excellent three-axis attitude control, yet requires angular rate sensors for only two axes.

Citation Download Citation

Marcelo C. Algrain "Determination of 3D angular rates using two-axis measurements", Proc. SPIE 2468, Acquisition, Tracking, and Pointing IX, (26 May 1995); https://doi.org/10.1117/12.210436

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
9 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Complex systems

Space operations

Motion models

Sensors

Computer simulations

Mathematical modeling

Systems modeling

Show All Keywords

Keywords/Phrases

Search In:

Publication Years