Controller design via pade approximation can lead to instability Academic Article

abstract

• The Pade approximation is often used to approximate a pure time delay by a rational transfer function. In this paper, we show via examples that PID controllers that stabilize such an approximation may actually be destabilizing for the true system. Recent results, giving the entire set of stabilizing PID controllers for finite dimensional linear time invariant systems as well as for systems with time delay, are used to make a comparative study, through examples, of the stabilizing sets for the true plant and its Pade approximants.

authors

• Bhattacharyya, S
• Datta, Aniruddha

published proceedings

• PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5

author list (cited authors)

• Silva, G. J., Datta, A., & Bhattacharyya, S. P.

citation count

• 19

complete list of authors

• Silva, GJ||Datta, A||Bhattacharyya, SP

publication date

• January 2001

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the ... IEEE Conference on Decision & Control / IEEE Control Systems Society. IEEE Conference on Decision & Control  Journal

keywords

• 40 Engineering
• 4007 Control Engineering, Mechatronics And Robotics
• 49 Mathematical Sciences
• 4901 Applied Mathematics

Digital Object Identifier (DOI)

• 10.1109/CDC.2001.980953

start page

• 4733

end page

• +

volume

• 5

URL

• http%3A%2F%2Fdx.doi.org%2F10.1109%2Fcdc.2001.980953