RESEARCH PAPERS: Design Automation Papers

An Equality Constrained RQP Algorithm Based on the Augmented Lagrangian Penalty Function

[+] Author and Article Information
C. Chen, W. C. Kong

Mechanical Engineering, Tainjin University, Tianjin, People’s Republic of China

J. Z. Cha

Mechanical and Aerospace Engineering, SUNY at Buffalo, Buffalo, N.Y.

J. Mech., Trans., and Automation 111(3), 368-374 (Sep 01, 1989) (7 pages) doi:10.1115/1.3259008 History: Received August 01, 1988; Online November 19, 2009


In comparative studies of constrained optimization methods the equality constrained recursive quadratic programming procedure has performed very favorably, particularly in terms of required computer time for execution. Biggs has formulated a strategy based on a quadratic penalty function and proved the global convergence of the method. This paper reformulates the procedure based on an augmented Lagrangian penalty function leading to improved performance and reduced sensitivity to the algorithm parameters. The formulation and algorithm are described herein and global convergence is demonstrated. Evaluation results on several test problems are presented to allow comparisons with other algorithms of the same type.

Copyright © 1989 by ASME
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