Uniform asymptotic stabilization of nonlinear switched systems with arbitrary switchings and with dynamic uncertainties by means of small gain theorems

Sergey Dashkovskiy; Svyatoslav Pavlichkov; Zhong Ping Jiang

doi:10.1109/CDC.2013.6760717

Uniform asymptotic stabilization of nonlinear switched systems with arbitrary switchings and with dynamic uncertainties by means of small gain theorems

Sergey Dashkovskiy, Svyatoslav Pavlichkov, Zhong Ping Jiang

Electrical and Computer Engineering

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

Abstract

The paper focuses on the problem of global uniform asymptotic stabilization of switched triangular form systems with unobservable dynamic uncertainties and with unknown switching signal. We prove that if the dynamic uncertainty is treated as external disturbance, then the triangular system can be stabilized with arbitrarily small gain w.r.t. the dynamic uncertainty. Then, using an extension of the wellknown small gain theorem to the case of switched systems with arbitrary switchings, we obtain the uniform asymptotic stabilization of the overall interconnected system.

Original language	English (US)
Title of host publication	2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5264-5269
Number of pages	6
ISBN (Print)	9781467357173
DOIs	https://doi.org/10.1109/CDC.2013.6760717
State	Published - 2013
Event	52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy Duration: Dec 10 2013 → Dec 13 2013

Publication series

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

Other

Other	52nd IEEE Conference on Decision and Control, CDC 2013
Country/Territory	Italy
City	Florence
Period	12/10/13 → 12/13/13

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2013.6760717

Cite this

Dashkovskiy, S., Pavlichkov, S., & Jiang, Z. P. (2013). Uniform asymptotic stabilization of nonlinear switched systems with arbitrary switchings and with dynamic uncertainties by means of small gain theorems. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 (pp. 5264-5269). Article 6760717 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6760717

Uniform asymptotic stabilization of nonlinear switched systems with arbitrary switchings and with dynamic uncertainties by means of small gain theorems. / Dashkovskiy, Sergey; Pavlichkov, Svyatoslav; Jiang, Zhong Ping.
2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 5264-5269 6760717 (Proceedings of the IEEE Conference on Decision and Control).

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

Dashkovskiy, S, Pavlichkov, S & Jiang, ZP 2013, Uniform asymptotic stabilization of nonlinear switched systems with arbitrary switchings and with dynamic uncertainties by means of small gain theorems. in 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013., 6760717, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 5264-5269, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 12/10/13. https://doi.org/10.1109/CDC.2013.6760717

Dashkovskiy S, Pavlichkov S, Jiang ZP. Uniform asymptotic stabilization of nonlinear switched systems with arbitrary switchings and with dynamic uncertainties by means of small gain theorems. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc. 2013. p. 5264-5269. 6760717. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2013.6760717

Dashkovskiy, Sergey ; Pavlichkov, Svyatoslav ; Jiang, Zhong Ping. / Uniform asymptotic stabilization of nonlinear switched systems with arbitrary switchings and with dynamic uncertainties by means of small gain theorems. 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. pp. 5264-5269 (Proceedings of the IEEE Conference on Decision and Control).

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abstract = "The paper focuses on the problem of global uniform asymptotic stabilization of switched triangular form systems with unobservable dynamic uncertainties and with unknown switching signal. We prove that if the dynamic uncertainty is treated as external disturbance, then the triangular system can be stabilized with arbitrarily small gain w.r.t. the dynamic uncertainty. Then, using an extension of the wellknown small gain theorem to the case of switched systems with arbitrary switchings, we obtain the uniform asymptotic stabilization of the overall interconnected system.",

author = "Sergey Dashkovskiy and Svyatoslav Pavlichkov and Jiang, {Zhong Ping}",

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N2 - The paper focuses on the problem of global uniform asymptotic stabilization of switched triangular form systems with unobservable dynamic uncertainties and with unknown switching signal. We prove that if the dynamic uncertainty is treated as external disturbance, then the triangular system can be stabilized with arbitrarily small gain w.r.t. the dynamic uncertainty. Then, using an extension of the wellknown small gain theorem to the case of switched systems with arbitrary switchings, we obtain the uniform asymptotic stabilization of the overall interconnected system.

AB - The paper focuses on the problem of global uniform asymptotic stabilization of switched triangular form systems with unobservable dynamic uncertainties and with unknown switching signal. We prove that if the dynamic uncertainty is treated as external disturbance, then the triangular system can be stabilized with arbitrarily small gain w.r.t. the dynamic uncertainty. Then, using an extension of the wellknown small gain theorem to the case of switched systems with arbitrary switchings, we obtain the uniform asymptotic stabilization of the overall interconnected system.

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Uniform asymptotic stabilization of nonlinear switched systems with arbitrary switchings and with dynamic uncertainties by means of small gain theorems

Abstract

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