Improved Numerical Solution of Mixed H₂/H_∞ Optimization with Applications

Author

Linda D. Smith

Date of Award

12-1994

Document Type

Thesis

Degree Name

Master of Science

Department

Department of Aeronautics and Astronautics

First Advisor

D. Brett Ridgely, PhD

Second Advisor

Robert A. Canfield, PhD

Abstract

This study improved the numerical optimization technique used to compute mixed H₂/H_∞ controllers. The run time to generate the full curve of an H₂/H_∞ design was reduced by a factor of almost 200 for a specific example. This was accomplished by improving gradient calculations, upgrading the H_∞ norm calculation to capture multiple peaks in the singular value plot and using routines that minimized processing time. The optimization routine used was the MATLAB CONSTR' Sequential Quadratic Programming (SQP) routine. This SQP routine was compared to a FORTRAN SQP numerical optimizer, IMSL-DNCONG. The method was applied to an F-16 SISO example and a missile MIMO example. The mixed H₂/H_∞ controller for both these examples are compared to previous controller designs created using the LQG/LTR technique.

AFIT Designator

AFIT-GAE-ENY-94D-01

DTIC Accession Number

ADA289315

Recommended Citation

Smith, Linda D., "Improved Numerical Solution of Mixed H₂/H_∞ Optimization with Applications" (1994). Theses and Dissertations. 6354.
https://scholar.afit.edu/etd/6354