Optimal finite precision implementation of a state-estimate feedback controller

Author

Gang, Luo ; GEVERS, Michel

Author_Institution

Lab. d´´Autom., de Dynamique et d´´Anal. des Syst., Louvain Univ., Louvain-Laneuve, Belgium

Volume

37

Issue

12

fYear

1990

fDate

12/1/1990 12:00:00 AM

Firstpage

1487

Lastpage

1498

Abstract

Expressions are derived for the sensitivity and the roundoff noise gain of the closed-loop transfer function of a system when the state estimate feedback controller is implemented with a finite word length and when the computations are performed in finite precision. This allows one to compare the sensitivity and noise gain over all equivalent state-variable implementations of the observer plus controller. The set of state-space models minimizing either the sensitivity or the roundoff noise gain is computed. Simulations compare the performance of the optimal implementations with respect to companion forms and a particular delta model

Keywords

control system analysis; feedback; roundoff errors; sensitivity analysis; state estimation; state-space methods; transfer functions; closed-loop transfer function; delta model; finite precision implementation; finite word length; optimal implementations; roundoff noise gain; sensitivity; state-estimate feedback controller; state-space models; Adaptive control; Arithmetic; Constraint optimization; Dynamic range; Filters; Observers; Roundoff errors; State estimation; Transfer functions; Upper bound;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.101269

Filename

101269