A convex reformulation of the controller synthesis problem for MIMO single-delay systems with implementation in SOS

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

In this paper, we propose a new dual class of stability condition for MIMO single-delay systems which is based on the implicit existence of a Lyapunov-Krasovskii functional but does not explicitly construct such a functional. This new type of stability condition allows the controller synthesis problem to be formulated as a convex optimization problem with little or no conservatism using a variable transformation. Furthermore, we show how to invert this variable transformation in order to obtain the stabilizing controller. The stability and controller synthesis conditions are then enforced using the SOS framework exploiting recent advances in this field. Numerical testing verifies there is little to no conservatism in either the 'dual' stability test or the controller synthesis condition.

Original languageEnglish (US)
Title of host publication2017 American Control Conference, ACC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5127-5134
Number of pages8
ISBN (Electronic)9781509059928
DOIs
StatePublished - Jun 29 2017
Event2017 American Control Conference, ACC 2017 - Seattle, United States
Duration: May 24 2017May 26 2017

Other

Other2017 American Control Conference, ACC 2017
CountryUnited States
CitySeattle
Period5/24/175/26/17

Fingerprint

MIMO systems
Controllers
Convex optimization
Testing

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Peet, M. (2017). A convex reformulation of the controller synthesis problem for MIMO single-delay systems with implementation in SOS. In 2017 American Control Conference, ACC 2017 (pp. 5127-5134). [7963750] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2017.7963750

A convex reformulation of the controller synthesis problem for MIMO single-delay systems with implementation in SOS. / Peet, Matthew.

2017 American Control Conference, ACC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 5127-5134 7963750.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Peet, M 2017, A convex reformulation of the controller synthesis problem for MIMO single-delay systems with implementation in SOS. in 2017 American Control Conference, ACC 2017., 7963750, Institute of Electrical and Electronics Engineers Inc., pp. 5127-5134, 2017 American Control Conference, ACC 2017, Seattle, United States, 5/24/17. https://doi.org/10.23919/ACC.2017.7963750
Peet M. A convex reformulation of the controller synthesis problem for MIMO single-delay systems with implementation in SOS. In 2017 American Control Conference, ACC 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 5127-5134. 7963750 https://doi.org/10.23919/ACC.2017.7963750
Peet, Matthew. / A convex reformulation of the controller synthesis problem for MIMO single-delay systems with implementation in SOS. 2017 American Control Conference, ACC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 5127-5134
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