Optimal nonzero set point regulation via fixed-order dynamic compensation

Author

Haddad, Wassim M. ; Bernstein, Dennis S.

Author_Institution

Dept. of Mech. Eng., Florida Inst. of Technol., Melbourne, FL, USA

Volume

33

Issue

9

fYear

1988

fDate

9/1/1988 12:00:00 AM

Firstpage

848

Lastpage

852

Abstract

Standard LQG (linear quadratic Gaussian) theory is generalized to a regulation problem involving specified nonzero setpoints for the state and control variables and nonzero-mean disturbances. For generality, the results are obtained for the problem of fixed-order (i.e. not necessarily full order) dynamic compensation. When the state control, and disturbance offsets are set to zero and the compensator order is set equal to the plant dimension. The standard LQG result is recovered. These results provide the dynamic counterpart for the nonzero set point regulation results obtained by D.S. Bernstein and W.M. Haddad (1987) by means of static controllers

Keywords

compensation; optimal control; LQG control theory; fixed-order dynamic compensation; linear quadratic Gaussian theory; nonzero setpoints; nonzero-mean disturbances; optimal control; static controllers; Additive noise; Aerospace engineering; Control theory; Eigenvalues and eigenfunctions; Government; Noise measurement; Noise reduction; Open loop systems; Riccati equations; Vectors;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.1313

Filename

1313