An algorithmic approach for lessening conservativeness of criteria determining absolute stability

Donatello Materassi; Murti V. Salapaka

doi:10.1109/MED.2015.7158808

An algorithmic approach for lessening conservativeness of criteria determining absolute stability

Donatello Materassi, Murti V. Salapaka

Electrical and Computer Engineering

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

2 Scopus citations

Abstract

Lur'e systems are the feedback interconnection of a linear time-invariant system with a memoryless static operator. In this paper, we derive an algorithmic method to incorporate the information given by additional Lyapunov functions in order to enlarge the estimate of the domain of attraction of a Lur'e system. The methodology, limited for simplicity to quadratic Lyapunov functions, relies on the solution of a sequence of convex optimization programs. The ideas formulated in this article have general validity and can be extended to other scenarios (for example considering Lyapunov functions in the form of sum of squares.

Original language	English (US)
Title of host publication	2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings
Editors	Victor Munoz, Joseba Quevedo, Jorge L. Martinez, Jesus Morales
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	571-576
Number of pages	6
ISBN (Electronic)	9781479999361
DOIs	https://doi.org/10.1109/MED.2015.7158808
State	Published - Jul 14 2015
Event	23rd Mediterranean Conference on Control and Automation, MED 2015 - Torremolinos, Spain Duration: Jun 16 2015 → Jun 19 2015

Publication series

Name	2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings

Other

Other	23rd Mediterranean Conference on Control and Automation, MED 2015
Country/Territory	Spain
City	Torremolinos
Period	6/16/15 → 6/19/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

Keywords

Domains of Attraction
Local Quadratic Constraints
Lur'e systems

Publisher link

10.1109/MED.2015.7158808

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Materassi, D., & Salapaka, M. V. (2015). An algorithmic approach for lessening conservativeness of criteria determining absolute stability. In V. Munoz, J. Quevedo, J. L. Martinez, & J. Morales (Eds.), 2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings (pp. 571-576). Article 7158808 (2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MED.2015.7158808

An algorithmic approach for lessening conservativeness of criteria determining absolute stability. / Materassi, Donatello ; Salapaka, Murti V.
2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings. ed. / Victor Munoz; Joseba Quevedo; Jorge L. Martinez; Jesus Morales. Institute of Electrical and Electronics Engineers Inc., 2015. p. 571-576 7158808 (2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings).

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

Materassi, D & Salapaka, MV 2015, An algorithmic approach for lessening conservativeness of criteria determining absolute stability. in V Munoz, J Quevedo, JL Martinez & J Morales (eds), 2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings., 7158808, 2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 571-576, 23rd Mediterranean Conference on Control and Automation, MED 2015, Torremolinos, Spain, 6/16/15. https://doi.org/10.1109/MED.2015.7158808

Materassi D , Salapaka MV. An algorithmic approach for lessening conservativeness of criteria determining absolute stability. In Munoz V, Quevedo J, Martinez JL, Morales J, editors, 2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc. 2015. p. 571-576. 7158808. (2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings). doi: 10.1109/MED.2015.7158808

Materassi, Donatello ; Salapaka, Murti V. / An algorithmic approach for lessening conservativeness of criteria determining absolute stability. 2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings. editor / Victor Munoz ; Joseba Quevedo ; Jorge L. Martinez ; Jesus Morales. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 571-576 (2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings).

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An algorithmic approach for lessening conservativeness of criteria determining absolute stability

Abstract

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Keywords

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