Improved parametrization for sensitivity and round-off noise minimization

Author

Guo, Lin ; Tomizuka, Masayahi

Author_Institution

Dept. of Mech. Eng., California Univ., Berkeley, CA, USA

Volume

6

fYear

1995

fDate

21-23 Jun 1995

Firstpage

4209

Abstract

In this paper, a new operator (d) which combines the two commonly used operators, the shift (q) and delta (δ) operators, is proposed. The numerical characteristics of the realization using the d-operator are analyzed. It is shown that for any given constraint on state space realization dynamic range, the optimized d-realization has lower sensitivity than that of the optimized q and δ-realizations. It is also shown that a sub-optimal d-realization can always be found to guarantee a round-off noise gain upper bound lower than that of the optimized δ-realization and the minimized round-off noise gain of the q-realization

Keywords

noise; optimal control; realisation theory; roundoff errors; sensitivity; δ-operator; d-operator; delta operator; improved parametrization; optimized d-realization; round-off noise gain upper bound; round-off noise minimization; sensitivity minimization; shift operator; state-space realization dynamic range; suboptimal d-realization; Constraint optimization; Digital control; Digital signal processing; Dynamic range; Feedback; Mechanical engineering; Sampling methods; Space technology; State-space methods; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, Proceedings of the 1995

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2445-5

Type

conf

DOI

10.1109/ACC.1995.532725

Filename

532725