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TECHNICAL BRIEFS

A Generalized Sufficient Condition for Time-Optimal Control

[+] Author and Article Information
S. Sundar, Z. Shiller

Department of Mechanical and Aerospace Engineering, University of California Los Angeles, Los Angeles, CA 90095-1597

J. Dyn. Sys., Meas., Control 118(2), 393-396 (Jun 01, 1996) (4 pages) doi:10.1115/1.2802337 History: Received November 24, 1992; Online December 03, 2007

Abstract

This paper presents a sufficient optimality condition for time-optimal feedback control, which generalizes the existing sufficient conditions, i.e., the HJB equation and a Lyapunov-based condition derived in [12]. The new condition is satisfied by a class of piecewise C1 continuous functions, termed generalized value functions. It admits a larger class of functions, such as bounded functions, than the existing conditions as demonstrated in an example. The generalized condition might, therefore, be useful in solving for the time-optimal feedback control of nonlinear systems such as robotic manipulators.

Copyright © 1996 by The American Society of Mechanical Engineers
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