Two formulations of exponentially weighted enhanced LQ controllers

Author

Pierre, D.A. ; Trudnowski, D.J.

Author_Institution

Dept. of Electr. Eng., Montana State Univ., Bozeman, MT, USA

Volume

38

Issue

8

fYear

1993

fDate

8/1/1993 12:00:00 AM

Firstpage

1308

Lastpage

1312

Abstract

Properties of a class of multiinput multioutput digital controllers are examined. The controllers incorporate three features: (1) optimal gains associated with known exogenous inputs; (2) penalties imposed both on squares of first backward differences in control actions and on control actions squared; and (3) exponential weighting to ensure bounds on closed-loop eigenvalues. Two versions of exponential weighting are treated. Results are given for both the finite-horizon and infinite-horizon versions of the problems. The results include expressions for optimal feedback gains and for optimal preview gains. For the infinite-horizon versions, relationships are derived between the optimal closed-loop eigenvalues and the eigenvalues associated with the preview gains. Two examples are given to illustrate properties of three controllers

Keywords

closed loop systems; control system analysis; discrete systems; eigenvalues and eigenfunctions; feedback; multivariable control systems; optimal control; closed-loop eigenvalues; control system analysis; discrete systems; exponentially weighted enhanced LQ controllers; finite-horizon; infinite-horizon; multiinput multioutput digital controllers; optimal control; optimal feedback gains; optimal gains; penalties; Circuits; Digital control; Eigenvalues and eigenfunctions; Optimal control; Polynomials; Robust stability; Robustness; Seminars; Sufficient conditions; Weight control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.233176

Filename

233176