Blade Design of Axial-Flow Compressors by the Method of Optimal Control Theory—Application of Pontryagin’s Maximum Principles, a Sample Calculation and Its Results

[+] Author and Article Information
Chuan-gang Gu, Yong-miao Miao

Department of Power Mechanical Engineering, Xi’an Jiaotong University, Xi’an, People’s Republic of China

J. Turbomach 109(1), 103-107 (Jan 01, 1987) (5 pages) doi:10.1115/1.3262053 History: Received February 07, 1986; Online November 09, 2009


Using the continual transformation technique [3] and the augmented penalty function method, the typical optimal control problem with various constraints proposed in the paper [2] has been converted to a new equivalent optimal control problem with no constraint. This enables the application of Pontryagin ’s maximum principle. Further, by means of the conjugate gradient method an example of the calculation is shown and the corresponding program is developed. A satisfactory optimal diffusion factor distribution has been obtained.

Copyright © 1987 by ASME
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