Enhanced gradient calculation method for MADCADS

Author

Allwine, Daniel A. ; Frazier, W. Garth

Author_Institution

Dept. of Electr. & Comput. Eng., Ohio Univ., Athens, OH, USA

fYear

1994

fDate

20-22 Mar 1994

Firstpage

342

Lastpage

346

Abstract

MADCADS (Model and Data-Oriented Computer Aided Design System) is a software package that employs numerical search-based algorithms in order to improve the characteristics of a given controller. The search-based nature of the code requires the calculation of many various gradients with respect to the controller parameters. New mathematical constructs are developed here which lead to more reliable and maintainable code. Specifically, a special representation for the derivative of a certain class of matrix-valued functions with respect to another matrix is presented. Algebraic and operator theoretic concepts are developed including a chain rule operation which is analogous to that used in standard calculus

Keywords

control system CAD; matrix algebra; software packages; MADCADS; Model and Data Oriented Computer Aided Design System; algebraic theoretic concept; calculus; chain rule operation; enhanced gradient calculation; matrix partial derivatives; matrix valued functions; numerical search based algorithms; operator theoretic concept; software package; Algorithm design and analysis; Calculus; Control system analysis; Control systems; Design methodology; H infinity control; Maintenance; Packaging; Standards development; System analysis and design;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, 1994., Proceedings of the 26th Southeastern Symposium on

Conference_Location

Athens, OH

ISSN

0094-2898

Print_ISBN

0-8186-5320-5

Type

conf

DOI

10.1109/SSST.1994.287855

Filename

287855