A homotopy algorithm for full-order LQG controller synthesis with an H/sup /spl infin// performance bound

Author

Ge, Yuzhen ; Watson, Layne T. ; Collins, Emmanuel G., Jr. ; Bernstein, Dennis S.

Author_Institution

Dept. of Comput. Sci., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA

fYear

1994

Firstpage

181

Lastpage

185

Abstract

A globally convergent homotopy algorithm for a full-order LQG controller design problem with an H/sup /spl infin// constraint on disturbance attenuation is developed. The H/sup /spl infin// constraint is enforced by replacing the covariance Lyapunov equation by a Riccati equation whose solution gives an upper bound on H/sup 2/ performance. The numerical algorithm, based on homotopy theory, solves the necessary conditions for a minimum of the upper bound on H/sup 2/ performance.

Keywords

H/sup /spl infin// control; Riccati equations; asymptotic stability; closed loop systems; control system synthesis; linear quadratic control; H/sup /spl infin// constraint; H/sup /spl infin// performance bound; H/sup 2/ performance; Riccati equation; asymptotic stability; disturbance attenuation; full-order LQG controller; homotopy algorithm; necessary conditions; upper bound; Aerospace engineering; Centralized control; Computer science; Control system synthesis; Cost function; Entropy; Government; Hydrogen; Riccati equations; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Southcon/94. Conference Record

Conference_Location

Orlando, FL, USA

Print_ISBN

0-7803-9988-9

Type

conf

DOI

10.1109/SOUTHC.1994.498096

Filename

498096