Covariance control design for Hubble Space Telescope

Details Covariance control design for Hubble Space Telescope Covariance control design for Hubble Space Telescope

Mar 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jgcd...18..230z&link_type=abstract

Journal of Guidance, Control, and Dynamics (ISSN 0731-5090), vol. 18, no. 2, p. 230-236

Statistics

Computation

Airborne Equipment, Control Systems Design, Digital Systems, Fixed Point Arithmetic, Hubble Space Telescope, Matrix Theory, Telescopes, Temperature Effects, Computation, Control, Errors, Mathematical Models, Optimal Control, Signal Processing

Scientific paper

To improve the response to unexpected thermally induced disturbances, two new controllers are designed for the Hubble Space Telescope (HST) using covariance control techniques. The first controller minimizes the required control effort subject to inequality constraints on the output covariance matrix. The second controller is designed to satisfy both output covariance constraints and controller covariance constraints. The importance of the controller covariance constraint is to properly scale the controller for digital implementation in the control computer using fixed-point arithmetic. We provide a technique to integrate modeling, control design, and signal processing (in HST's fixed-point control computer), since these problems are not separable. Covariance control can easily accommodate the roundoff error and computational time delay. Compared with the existing HST controller design, the results show that the required pointing error specifications can be achieved with 85% less control effort and that the error due to the finite-wordlength implementation of the controller can easily be included in the optimal control design process.

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