The use of symbolic algebra in control

N. Munro; E. Kontogiannis; S. T. Impram; M. T. Soylemez; H. Baki

doi:10.23919/ecc.1999.7099989

The use of symbolic algebra in control

N. Munro, E. Kontogiannis, S. T. Impram, M. T. Soylemez, H. Baki

University of Manchester

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

Abstract

This paper will present several tools for model manipulation, model-order reduction, analysis, and the design/synthesis of control systems, developed in the symbolic algebra environment Mathematica. New control objects have been introduced in the framework of Mathematica's Control System Professional package, with several new associated transformations and model format manipulations. A new model-order reduction method called the quasi-generalised singular perturbation method has been implemented, and some interesting observations on appropriate pole assignment algorithms for use with systems containing symbols are reported. Some recent results on the robust diagonal dominance of uncertain multivariable systems, and the prediction of limit cycles in uncertain non-linear systems are considered.

Original language	English
Title of host publication	European Control Conference, ECC 1999 - Conference Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4183-4187
Number of pages	5
ISBN (Electronic)	9783952417355
DOIs	https://doi.org/10.23919/ecc.1999.7099989
Publication status	Published - 24 Mar 2015
Externally published	Yes
Event	1999 European Control Conference, ECC 1999 - Karlsruhe, Germany Duration: 31 Aug 1999 → 3 Sept 1999

Publication series

Name	European Control Conference, ECC 1999 - Conference Proceedings

Conference

Conference	1999 European Control Conference, ECC 1999
Country/Territory	Germany
City	Karlsruhe
Period	31/08/99 → 3/09/99

Bibliographical note

Publisher Copyright:
© 1999 EUCA.

Keywords

Symbolic algebra
uncertain MIMO systems
uncertain nonlinear SISO systems

Access to Document

10.23919/ecc.1999.7099989

Cite this

Munro, N., Kontogiannis, E., Impram, S. T., Soylemez, M. T., & Baki, H. (2015). The use of symbolic algebra in control. In European Control Conference, ECC 1999 - Conference Proceedings (pp. 4183-4187). Article 7099989 (European Control Conference, ECC 1999 - Conference Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ecc.1999.7099989

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keywords = "Symbolic algebra, uncertain MIMO systems, uncertain nonlinear SISO systems",

author = "N. Munro and E. Kontogiannis and Impram, \{S. T.\} and Soylemez, \{M. T.\} and H. Baki",

note = "Publisher Copyright: {\textcopyright} 1999 EUCA.; 1999 European Control Conference, ECC 1999 ; Conference date: 31-08-1999 Through 03-09-1999",

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doi = "10.23919/ecc.1999.7099989",

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Munro, N, Kontogiannis, E, Impram, ST, Soylemez, MT & Baki, H 2015, The use of symbolic algebra in control. in European Control Conference, ECC 1999 - Conference Proceedings., 7099989, European Control Conference, ECC 1999 - Conference Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 4183-4187, 1999 European Control Conference, ECC 1999, Karlsruhe, Germany, 31/08/99. https://doi.org/10.23919/ecc.1999.7099989

The use of symbolic algebra in control. / Munro, N.; Kontogiannis, E.; Impram, S. T. et al.
European Control Conference, ECC 1999 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc., 2015. p. 4183-4187 7099989 (European Control Conference, ECC 1999 - Conference Proceedings).

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

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AU - Kontogiannis, E.

AU - Impram, S. T.

AU - Soylemez, M. T.

AU - Baki, H.

PY - 2015/3/24

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N2 - This paper will present several tools for model manipulation, model-order reduction, analysis, and the design/synthesis of control systems, developed in the symbolic algebra environment Mathematica. New control objects have been introduced in the framework of Mathematica's Control System Professional package, with several new associated transformations and model format manipulations. A new model-order reduction method called the quasi-generalised singular perturbation method has been implemented, and some interesting observations on appropriate pole assignment algorithms for use with systems containing symbols are reported. Some recent results on the robust diagonal dominance of uncertain multivariable systems, and the prediction of limit cycles in uncertain non-linear systems are considered.

AB - This paper will present several tools for model manipulation, model-order reduction, analysis, and the design/synthesis of control systems, developed in the symbolic algebra environment Mathematica. New control objects have been introduced in the framework of Mathematica's Control System Professional package, with several new associated transformations and model format manipulations. A new model-order reduction method called the quasi-generalised singular perturbation method has been implemented, and some interesting observations on appropriate pole assignment algorithms for use with systems containing symbols are reported. Some recent results on the robust diagonal dominance of uncertain multivariable systems, and the prediction of limit cycles in uncertain non-linear systems are considered.

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KW - uncertain MIMO systems

KW - uncertain nonlinear SISO systems

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M3 - Conference contribution

AN - SCOPUS:84930599272

T3 - European Control Conference, ECC 1999 - Conference Proceedings

SP - 4183

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BT - European Control Conference, ECC 1999 - Conference Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 1999 European Control Conference, ECC 1999

Y2 - 31 August 1999 through 3 September 1999

ER -

The use of symbolic algebra in control

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Keywords

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