LTR design of discrete-time proportional-integral observers

Author

Shafai, B. ; Beale, S. ; Niemann, H.H. ; Stoustrup, J.L.

Author_Institution

Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA

Volume

41

Issue

7

fYear

1996

fDate

7/1/1996 12:00:00 AM

Firstpage

1056

Lastpage

1062

Abstract

Applies the proportional-integral (PI) observer in connection with loop-transfer recovery (LTR) design for discrete-time systems. Both the prediction and the filtering versions of the PI observer are considered. We show that a PI observer makes it possible to obtain time recovery, i.e., exact recovery for t→∞, under mild conditions. Two systematic LTR design methods, one based on an extension of the linear quadratic Gaussian loop-transfer recovery (LQG/LTR) and the other based on linear matrix inequality (LMI), are derived for the discrete-time PI observer case, Explicit expressions for the recovery error when exact recovery is not achievable for all frequencies are also given

Keywords

discrete time systems; filtering theory; linear quadratic Gaussian control; matrix algebra; observers; prediction theory; two-term control; LQG/LTR; discrete-time proportional-integral observers; discrete-time systems; exact recovery; linear matrix inequality; linear quadratic Gaussian loop-transfer recovery; loop-transfer recovery design; mild conditions; recovery error; time recovery; Electrons; Filtering algorithms; Filters; Root mean square; Sampling methods; Smoothing methods; State estimation; Switching systems; Time measurement; Trajectory;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.508916

Filename

508916