Optimal Mixed-Norm Control Synthesis for Discrete-Time Linear Systems

Author

David R. Jacques

Date of Award

6-1995

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Department of Aeronautics and Astronautics

First Advisor

D. Brett Ridgely, PhD

Abstract

A mixed-norm approach to control synthesis for discrete time linear systems is developed. Specifically, the problem of minimizing the H₂ norm of a transfer function, subject to a combination of ℓ₁ and-or H_∞ norm constraints on dissimilar but related transfer functions is considered. The uniqueness of the optimal solution is shown, and numerical methods for approximating the optimal solution to within arbitrary accuracy are developed. These methods generally result in high order compensators which can not be implemented in most practical applications. In response to this, a numerical method is developed which solves for suboptimal solutions of a fixed, specifiable order. The method is packaged as a toolbox for the popular MATLAB software program. Several examples are developed which demonstrate potential applications for the mixed-norm method.

AFIT Designator

AFIT-DS-ENY-95-02

DTIC Accession Number

ADA297442

Recommended Citation

Jacques, David R., "Optimal Mixed-Norm Control Synthesis for Discrete-Time Linear Systems" (1995). Theses and Dissertations. 6310.
https://scholar.afit.edu/etd/6310