Applications of ℓ₁ and Mixed H₂/ℓ₁ Optimization

Author

Mark S. Spillman

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

Abstract

This thesis explores the use of ℓ₁ and mixed H2/ℓ1 optimization methods to design flight control systems. ℓ₁ optimization is used to handle tracking issues in the design of digital compensators. Control deflection and rate limitations, overshoot and undershoot limitations and steady-state error requirements are discussed. Model-matching techniques which produce acceptable tracking results with lower order controllers are also examined. New numerical methods for continuous H2/L1 and discrete H2/ℓ1 optimization are presented. These methods are used to design an aircraft controller in continuous and discrete time and the results are compared.

AFIT Designator

AFIT-GAE-ENY-94D-12

DTIC Accession Number

ADA289311

Recommended Citation

Spillman, Mark S., "Applications of ℓ₁ and Mixed H₂/ℓ₁ Optimization" (1994). Theses and Dissertations. 6355.
https://scholar.afit.edu/etd/6355