On the nature of the Boxer-Thaler and Madwed integrators and their applications in digitizing a continuous-time system

Author

Wang, Chi-Hsu ; Lin, Mon-yih ; Teng, Ching-Cheng

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Inst. of Technol., Taipei, Taiwan

Volume

35

Issue

10

fYear

1990

fDate

10/1/1990 12:00:00 AM

Firstpage

1163

Lastpage

1167

Abstract

The nature of the Boxer-Thaler and Madwed integrators is explored. A consistent derivation of the Madwed integrator from the well-known derivation of the Boxer-Thaler integrator is proposed. A new general computerized algorithm is also proposed for the kth-order Boxer-Thaler and Madwed integrators. These two discrete integrators are used to replace the Tustin integrator for digitizing a continuous-time system. A more systematic and precise formulation of the Q-matrix is presented for the s-domain to z-domain transformation via Boxer-Thaler and Madwed integrators. Due to the more accurate nature of these two discrete integrators, better results can be obtained. A set of MATLAB programs is written to implement the proposed algorithms

Keywords

integration; matrix algebra; Boxer; MATLAB programs; Madwed; Q-matrix; Thaler; Tustin integrator; continuous-time system; derivation; discrete integrators; s-domain transformation; z-domain transformation; Application software; Control engineering; Convolution; Councils; Genetic expression; MATLAB; Polynomials; Programming;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.58563

Filename

58563