Towards a hybrid symbolic/numeric computational approach in controller design

Madhu Chetty

doi:10.1007/3-540-45470-5_5

Towards a hybrid symbolic/numeric computational approach in controller design

Madhu Chetty

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

Abstract

Application of general computer algebra systems like MAPLE V® can prove advantageous over conventional ‘numerical’ simulation approach for controller design. In this paper, an approach for the application of hybrid symbolic/numeric computations to obtain explicit equations leading to the design of an output feedback controller is presented. The methodology for controller design using symbolic algebra is exemplified by considering the design of an excitation controller for a simplified model of the synchronous generator connected to an infinite bus. The output feedback controller is obtained from a symbolic full-state feedback controller by eliminating feedback from unmeasurable states using the free parameters in the symbolic feedback gain expressions. The entire analysis is carried out using the MATLAB® symbolic algebra toolbox that supports MAPLE V®.

Original language	English
Title of host publication	Artificial Intelligence, Automated Reasoning, and Symbolic Computation
Subtitle of host publication	Joint International Conferences AISC 2002 and Calculemus 2002 Marseille, France, July 1-5, 2002 Proceedings
Editors	Jacques Calmet, Belaid Benhamou, Olga Caprotti, Laurent Henocque, Volker Sorge
Place of Publication	Berlin Germany
Publisher	Springer
Pages	12-25
Number of pages	14
ISBN (Print)	3540438653
DOIs	https://doi.org/10.1007/3-540-45470-5_5
Publication status	Published - 2002
Event	Artificial Intelligence and Symbolic Computation 2002 - Marseille, France Duration: 1 Jul 2002 → 5 Jul 2002 Conference number: 6th

Publication series

Name	Lecture Notes in Artificial Intelligence
Publisher	Springer
Volume	2385
ISSN (Print)	0302-9743

Conference

Conference	Artificial Intelligence and Symbolic Computation 2002
Abbreviated title	AISC 2002
Country/Territory	France
City	Marseille
Period	1/07/02 → 5/07/02

Access to Document

10.1007/3-540-45470-5_5

Cite this

Chetty, M. (2002). Towards a hybrid symbolic/numeric computational approach in controller design. In J. Calmet, B. Benhamou, O. Caprotti, L. Henocque, & V. Sorge (Eds.), Artificial Intelligence, Automated Reasoning, and Symbolic Computation: Joint International Conferences AISC 2002 and Calculemus 2002 Marseille, France, July 1-5, 2002 Proceedings (pp. 12-25). (Lecture Notes in Artificial Intelligence; Vol. 2385). Springer. https://doi.org/10.1007/3-540-45470-5_5

Chetty, Madhu. / Towards a hybrid symbolic/numeric computational approach in controller design. Artificial Intelligence, Automated Reasoning, and Symbolic Computation: Joint International Conferences AISC 2002 and Calculemus 2002 Marseille, France, July 1-5, 2002 Proceedings. editor / Jacques Calmet ; Belaid Benhamou ; Olga Caprotti ; Laurent Henocque ; Volker Sorge. Berlin Germany : Springer, 2002. pp. 12-25 (Lecture Notes in Artificial Intelligence).

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title = "Towards a hybrid symbolic/numeric computational approach in controller design",

abstract = "Application of general computer algebra systems like MAPLE V{\textregistered} can prove advantageous over conventional {\textquoteleft}numerical{\textquoteright} simulation approach for controller design. In this paper, an approach for the application of hybrid symbolic/numeric computations to obtain explicit equations leading to the design of an output feedback controller is presented. The methodology for controller design using symbolic algebra is exemplified by considering the design of an excitation controller for a simplified model of the synchronous generator connected to an infinite bus. The output feedback controller is obtained from a symbolic full-state feedback controller by eliminating feedback from unmeasurable states using the free parameters in the symbolic feedback gain expressions. The entire analysis is carried out using the MATLAB{\textregistered} symbolic algebra toolbox that supports MAPLE V{\textregistered}.",

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Chetty, M 2002, Towards a hybrid symbolic/numeric computational approach in controller design. in J Calmet, B Benhamou, O Caprotti, L Henocque & V Sorge (eds), Artificial Intelligence, Automated Reasoning, and Symbolic Computation: Joint International Conferences AISC 2002 and Calculemus 2002 Marseille, France, July 1-5, 2002 Proceedings. Lecture Notes in Artificial Intelligence, vol. 2385, Springer, Berlin Germany, pp. 12-25, Artificial Intelligence and Symbolic Computation 2002, Marseille, France, 1/07/02. https://doi.org/10.1007/3-540-45470-5_5

Towards a hybrid symbolic/numeric computational approach in controller design. / Chetty, Madhu.
Artificial Intelligence, Automated Reasoning, and Symbolic Computation: Joint International Conferences AISC 2002 and Calculemus 2002 Marseille, France, July 1-5, 2002 Proceedings. ed. / Jacques Calmet; Belaid Benhamou; Olga Caprotti; Laurent Henocque; Volker Sorge. Berlin Germany: Springer, 2002. p. 12-25 (Lecture Notes in Artificial Intelligence; Vol. 2385).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

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AB - Application of general computer algebra systems like MAPLE V® can prove advantageous over conventional ‘numerical’ simulation approach for controller design. In this paper, an approach for the application of hybrid symbolic/numeric computations to obtain explicit equations leading to the design of an output feedback controller is presented. The methodology for controller design using symbolic algebra is exemplified by considering the design of an excitation controller for a simplified model of the synchronous generator connected to an infinite bus. The output feedback controller is obtained from a symbolic full-state feedback controller by eliminating feedback from unmeasurable states using the free parameters in the symbolic feedback gain expressions. The entire analysis is carried out using the MATLAB® symbolic algebra toolbox that supports MAPLE V®.

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Chetty M. Towards a hybrid symbolic/numeric computational approach in controller design. In Calmet J, Benhamou B, Caprotti O, Henocque L, Sorge V, editors, Artificial Intelligence, Automated Reasoning, and Symbolic Computation: Joint International Conferences AISC 2002 and Calculemus 2002 Marseille, France, July 1-5, 2002 Proceedings. Berlin Germany: Springer. 2002. p. 12-25. (Lecture Notes in Artificial Intelligence). doi: 10.1007/3-540-45470-5_5