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Applications of Optimal Stochastic Control Designs to a Ground-Based Tracking System

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1 Author(s)
Y. A. Wu ; Hughes Aircraft Company, Electro-Optical & Data Systems Group, P. O. Box 902, El Segundo, CA 90245

The use of linear-quadratic stochastic control designs for a ground-based tracking system is investigated. The design approach is motivated by the facts that: (i) the power spectral density of the atmospheric turbulence-induced tilt is known, and can be accurately modeled; and (ii) the angular anisoplanatism effect can be expressed in terms of its temporal correlation. The former generates a stochastic dynamic model that best describes the atmospheric turbulence-induced tilt, and the latter introduces a future state or a delay state depending upon the problem formulation. It is demonstrated that how a design philosophy, taking into account the above available information in its control design, can lead to a closed-loop system with a better tracking performance. For a simple case study, the analysis shows that with the proposed control design, the system could track a much weaker target (has at least 2.5 times less brightness) as compared to the system using the classical control design.

Published in:

American Control Conference, 1989

Date of Conference:

21-23 June 1989