Synthesis of Absolutely Stabilizing Controllers Conference Paper

abstract

• In this paper, we consider the synthesis of fixed order controllers for nonlinear systems with sector bounded nonlinearities. We construct an inner and outer approximation of the set of absolutely stabilizing linear controllers by casting the closed loop system as a Lure-Postnikov system. The inner approximation is based on the well-known sufficient conditions that require Strict Positive Realness (SPR) of open loop transfer function (possibly with some multipliers) and a characterization of SPR transfer functions that require a family of complex polynomials to be Hurwitz. The outer approximation is based on the condition that the open loop transfer function must have infinite gain margin, which translates to a family of real polynomials being Hurwitz. We illustrate the proposed methodology through the construction of an inner and outer approximation of absolutely stabilizing controllers for a mechanical system. 2008 IEEE.

name of conference

• 2008 47th IEEE Conference on Decision and Control

authors

• Darbha, Swaroop

published proceedings

• 47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008)

author list (cited authors)

• Malik, W. A., Kang, S., Darbha, S., & Bhattacharyya, S. P.

citation count

• 2

complete list of authors

• Malik, Waqar A||Kang, Sincheon||Darbha, Swaroop||Bhattacharyya, SP

publication date

• December 2008

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.2008.4739346

International Standard Book Number (ISBN) 13

• 9781424431243

start page

• 3589

end page

• 3594

URL

• http://dx.doi.org/10.1109/cdc.2008.4739346