Local performance analysis of uncertain polynomial systems with applications to actuator saturation

Abhijit Chakraborty; Peter J Seiler Jr; Gary J. Balas

doi:10.1109/CDC.2011.6161016

Local performance analysis of uncertain polynomial systems with applications to actuator saturation

Abhijit Chakraborty, Peter J Seiler Jr, Gary J. Balas

Aerospace Engineering and Mechanics

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

4 Scopus citations

Abstract

This paper considers the local performance analysis of uncertain polynomial systems. A method for estimating an upper bound of the local L₂ → L₂ gain is presented. The gain upper bound condition is formulated in terms of a dissipation inequality that incorporates an integral quadratic constraint to model the uncertainty. For polynomial systems, the dissipation inequality can be verified using sum-of-squares optimizations. This approach is applied to systems with actuator position and rate limits. The effectiveness of the proposed method is demonstrated on two numerical examples.

Original language	English (US)
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	8176-8181
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6161016
State	Published - 2011
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: Dec 12 2011 → Dec 15 2011

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	12/12/11 → 12/15/11

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10.1109/CDC.2011.6161016

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Chakraborty, A., Seiler Jr, P. J., & Balas, G. J. (2011). Local performance analysis of uncertain polynomial systems with applications to actuator saturation. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 8176-8181). Article 6161016 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6161016

Local performance analysis of uncertain polynomial systems with applications to actuator saturation. / Chakraborty, Abhijit; Seiler Jr, Peter J; Balas, Gary J.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 8176-8181 6161016 (Proceedings of the IEEE Conference on Decision and Control).

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

Chakraborty, A, Seiler Jr, PJ & Balas, GJ 2011, Local performance analysis of uncertain polynomial systems with applications to actuator saturation. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161016, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 8176-8181, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6161016

Chakraborty A, Seiler Jr PJ, Balas GJ. Local performance analysis of uncertain polynomial systems with applications to actuator saturation. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc. 2011. p. 8176-8181. 6161016. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2011.6161016

Chakraborty, Abhijit ; Seiler Jr, Peter J ; Balas, Gary J. / Local performance analysis of uncertain polynomial systems with applications to actuator saturation. 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. pp. 8176-8181 (Proceedings of the IEEE Conference on Decision and Control).

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Local performance analysis of uncertain polynomial systems with applications to actuator saturation

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