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RESEARCH PAPERS: Technical Papers

Optimal Command Generation for Tracking a Class of Discontinuous Trajectories

[+] Author and Article Information
S. Weissenberger

University of Santa Clara, Santa Clara, Calif.

J. Dyn. Sys., Meas., Control 98(2), 167-172 (Jun 01, 1976) (6 pages) doi:10.1115/1.3427005 History: Received December 01, 1975; Online July 13, 2010

Abstract

Commands are found to drive a linear system to optimally track a class of prescribed trajectories, each of which contains a point of discontinuity. The paper focuses on the guidance problem of command generation, to be implemented in a feedforward fashion; the necessary additional control or feedback regulation structure is not studied in detail, but assumed to be provided in applications as a conventional error-feedback regulator. Solutions are found for the infinite-time problem which are optimal with respect to a quadratic performance criterion; suboptimal controls which satisfy a continuity condition are also found. The controls have applications to certain problems in aircraft guidance where command trajectories are piecewise continuous. Several examples are worked out in detail, with comparisons with conventional, nonfeedforward solutions to the problem, and a brief discussion of a simpler, suboptimal solution.

Copyright © 1976 by ASME
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