Algorithms for CAE Based on Modern Polynomial Methods in Control

Project - CP93-2424

Keywords: CAE, linear controllers, polynomial methods in control

Start Date: 1 May 94 / Duration: 36 months

[ participants / contact]

Objectivies and Approach

The objective of this project is to develop new or improved algorithms for use in computer aided engineering (CAE) tools for linear controller and filter design. Modern polynomial methods have culminated in simple design procedures to be selected according to the particular industrial application. The procedures consist of the solution of various linear and quadratic equations in polynomials and/or polynomial matrices as a basic step of the design. In particular, the special equations for H2 design and robust H-inf. design are frequently employed in computer assisted control engineering and filter synthesis. The work will progress through three stages:

Progress and Results

Until now, the main achievements on the theoretical side are state space to polynomial matrix and polynomial time to state space conversions that are based on constant matrix operations and robust algorithms from numerical linear algebra. On the implementation side, the existing macros are made into a manual that fully documents the state of the art. The manual is to be released in October 1996.

The teams that collaborate in this project have presented their results in many European and international conferences. The main deliverable of the project is a Polynomial Toolbox the final version of which should be completed by May 1, 1997.

Information Dissemination Activities and/or Exploitation

During its duration, the project teams were in constant contact with the standarisation committees.

The function blocks under development and the configurator were demonstrated at the meetings of IEC 65C WG6/ISA SP50 in London and in Orlando. The complete demonstration was staged as part of the final project review on the premises of the company PACS Southampton in November 1995. The partners have presented their results at many conferences and in publications.

The project partners are currently engaged in developing prototype instruments based on function blocks for a client in the USA.


University of Twente
Dept. Applied Mathematics
P.O. Box 217
NL-7500 AE Enschede, NL

EU Partners

University of Twente, NL

Non-EU Partners

Czech Academy of Science, CZ


Prof. Huibert Kwakernaak
Tel: +31 53 489 3457
Fax: +31 53 434 0733

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Project - CP93-2424, May 1997

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html version of synopsis by Nick Cook