Delayed feedback control for linear time-varying periodic systems in act-and-wait fashion

Mohd Amir Fikri Bin Mohd Taib; Tomohisa Hayakawa; Ahmet Cetinkaya

doi:10.3182/20130703-3-FR-4039.00041

Delayed feedback control for linear time-varying periodic systems in act-and-wait fashion

Mohd Amir Fikri Bin Mohd Taib, Tomohisa Hayakawa, Ahmet Cetinkaya

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

1 Citation (Scopus)

Abstract

A delayed feedback control framework for stabilizing periodic orbits of a linear periodic time-varying system is proposed. Act-and-wait approach is utilized for switching the proposed delayed feedback controller on and off alternately at every integer multiples of the period of the system. We obtain conditions for the convergence of the state trajectories towards a periodic solution of the closed-loop system under our proposed control law. We present a numerical example to illustrate the efficacy of our approach.

Original language	English
Title of host publication	5th IFAC International Workshop on Periodic Control Systems, PSYCO 2013 - Proceedings
Publisher	IFAC Secretariat
Pages	11-16
Number of pages	6
Edition	PART 1
ISBN (Print)	9783902823380
DOIs	https://doi.org/10.3182/20130703-3-FR-4039.00041
Publication status	Published - 2013
Externally published	Yes
Event	5th IFAC International Workshop on Periodic Control Systems, PSYCO 2013 - Caen, France Duration: 2013 Jul 3 → 2013 Jul 5

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	PART 1
Volume	5
ISSN (Print)	1474-6670

Conference

Conference	5th IFAC International Workshop on Periodic Control Systems, PSYCO 2013
Country/Territory	France
City	Caen
Period	13/7/3 → 13/7/5

Keywords

Delayed feedback stabilization
Periodic systems
Time-varying systems

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.3182/20130703-3-FR-4039.00041

Cite this

Taib, M. A. F. B. M., Hayakawa, T., & Cetinkaya, A. (2013). Delayed feedback control for linear time-varying periodic systems in act-and-wait fashion. In 5th IFAC International Workshop on Periodic Control Systems, PSYCO 2013 - Proceedings (PART 1 ed., pp. 11-16). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 5, No. PART 1). IFAC Secretariat. https://doi.org/10.3182/20130703-3-FR-4039.00041

Delayed feedback control for linear time-varying periodic systems in act-and-wait fashion. / Taib, Mohd Amir Fikri Bin Mohd; Hayakawa, Tomohisa; Cetinkaya, Ahmet.
5th IFAC International Workshop on Periodic Control Systems, PSYCO 2013 - Proceedings. PART 1. ed. IFAC Secretariat, 2013. p. 11-16 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 5, No. PART 1).

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

Taib, MAFBM, Hayakawa, T & Cetinkaya, A 2013, Delayed feedback control for linear time-varying periodic systems in act-and-wait fashion. in 5th IFAC International Workshop on Periodic Control Systems, PSYCO 2013 - Proceedings. PART 1 edn, IFAC Proceedings Volumes (IFAC-PapersOnline), no. PART 1, vol. 5, IFAC Secretariat, pp. 11-16, 5th IFAC International Workshop on Periodic Control Systems, PSYCO 2013, Caen, France, 13/7/3. https://doi.org/10.3182/20130703-3-FR-4039.00041

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abstract = "A delayed feedback control framework for stabilizing periodic orbits of a linear periodic time-varying system is proposed. Act-and-wait approach is utilized for switching the proposed delayed feedback controller on and off alternately at every integer multiples of the period of the system. We obtain conditions for the convergence of the state trajectories towards a periodic solution of the closed-loop system under our proposed control law. We present a numerical example to illustrate the efficacy of our approach.",

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AB - A delayed feedback control framework for stabilizing periodic orbits of a linear periodic time-varying system is proposed. Act-and-wait approach is utilized for switching the proposed delayed feedback controller on and off alternately at every integer multiples of the period of the system. We obtain conditions for the convergence of the state trajectories towards a periodic solution of the closed-loop system under our proposed control law. We present a numerical example to illustrate the efficacy of our approach.

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Delayed feedback control for linear time-varying periodic systems in act-and-wait fashion

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