Synthesis of optimal generalized LQG and Hankel-norm controllers

Author

Dharmasanam, Srinivas G. ; Erwin, R. Scott ; Bernstein, Dennis S. ; Wilson, David A.

Author_Institution

Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA

Volume

5

fYear

1997

fDate

4-6 Jun 1997

Firstpage

3078

Abstract

A useful application of the convolution operator norm is the problem of actuator saturation. The L₂→L_∞ convolution operator norm is induced by energy and peak-excursion type signal norms. If a bound is known for the energy of the disturbance, this norm can be used to bound state amplitude or actuator excursion (saturation). The objective of this paper is to develop a fixed-structure technique for synthesizing controllers that are optimal with respect to three of these norms as applied to the closed-loop system

Keywords

Hankel matrices; actuators; control system synthesis; convolution; linear quadratic Gaussian control; Hankel-Norm controllers; actuator saturation; bounded actuator excursion; bounded saturation; bounded state amplitude; closed-loop system; controller synthesis; convolution operator norm; energy norm; optimal generalized LQG controllers; peak-excursion type signal norm; Actuators; Aerospace engineering; Control system synthesis; Control systems; Convolution; Eigenvalues and eigenfunctions; Observability; Optimal control; Signal synthesis; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.612024

Filename

612024