On robust adaptive control of switched linear systems

Shuai Yuan; Bart De Schutter; Simone Baldi

doi:10.1109/ICCA.2017.8003154

On robust adaptive control of switched linear systems

Shuai Yuan, Bart De Schutter, Simone Baldi

Team Bart De Schutter

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

4 Citations (Scopus)

Abstract

This paper investigates robust adaptive control of uncertain switched linear systems considering disturbances. Two modifications of the adaptive law of switched linear systems [1] based on parameter projection and a leakage approach are developed to guarantee the stability of the closed-loop switched
linear system: a projection law that requires knowledge of the bounds of the parameter estimates; and a leakage law based on initial conditions of the parameter estimates that does not require knowledge of the bounds of the parameter estimates. The closed-loop switched linear system is shown to be
globally uniformly ultimately bounded. In addition, the ultimate bounds of both adaptive control schemes are also given. A numerical example is provided to illustrate the effectiveness of the proposed methods.

Original language	English
Title of host publication	Proceedings of the 2017 13th IEEE International Conference on Control & Automation (ICCA)
Editors	L. Liu, H. Lin
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE
Pages	753-758
ISBN (Print)	978-1-5386-2679-5
DOIs	https://doi.org/10.1109/ICCA.2017.8003154
Publication status	Published - 2017
Event	ICCA 2017 13th International Conference on Control & Automation - Ohrid, Macedonia, The Former Yugoslav Republic of Duration: 3 Jul 2017 → 6 Jul 2017

Conference

Conference	ICCA 2017 13th International Conference on Control & Automation
Abbreviated title	ICCA 2017
Country/Territory	Macedonia, The Former Yugoslav Republic of
City	Ohrid
Period	3/07/17 → 6/07/17

Keywords

Robust adaptive control
switched linear systems

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10.1109/ICCA.2017.8003154

Cite this

@inproceedings{4a7765f89f8842f9a605ee4738e18a19,

title = "On robust adaptive control of switched linear systems",

abstract = "This paper investigates robust adaptive control of uncertain switched linear systems considering disturbances. Two modifications of the adaptive law of switched linear systems [1] based on parameter projection and a leakage approach are developed to guarantee the stability of the closed-loop switchedlinear system: a projection law that requires knowledge of the bounds of the parameter estimates; and a leakage law based on initial conditions of the parameter estimates that does not require knowledge of the bounds of the parameter estimates. The closed-loop switched linear system is shown to beglobally uniformly ultimately bounded. In addition, the ultimate bounds of both adaptive control schemes are also given. A numerical example is provided to illustrate the effectiveness of the proposed methods.",

keywords = "Robust adaptive control, switched linear systems",

author = "Shuai Yuan and {De Schutter}, Bart and Simone Baldi",

year = "2017",

doi = "10.1109/ICCA.2017.8003154",

language = "English",

isbn = "978-1-5386-2679-5",

pages = "753--758",

editor = "L. Liu and H. Lin",

booktitle = "Proceedings of the 2017 13th IEEE International Conference on Control & Automation (ICCA)",

publisher = "IEEE",

address = "United States",

note = "ICCA 2017 13th International Conference on Control & Automation, ICCA 2017 ; Conference date: 03-07-2017 Through 06-07-2017",

}

Yuan, S, De Schutter, B & Baldi, S 2017, On robust adaptive control of switched linear systems. in L Liu & H Lin (eds), Proceedings of the 2017 13th IEEE International Conference on Control & Automation (ICCA). IEEE, Piscataway, NJ, USA, pp. 753-758, ICCA 2017 13th International Conference on Control & Automation, Ohrid, Macedonia, The Former Yugoslav Republic of, 3/07/17. https://doi.org/10.1109/ICCA.2017.8003154

On robust adaptive control of switched linear systems. / Yuan, Shuai; De Schutter, Bart ; Baldi, Simone.
Proceedings of the 2017 13th IEEE International Conference on Control & Automation (ICCA). ed. / L. Liu; H. Lin. Piscataway, NJ, USA: IEEE, 2017. p. 753-758.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - On robust adaptive control of switched linear systems

AU - Yuan, Shuai

AU - De Schutter, Bart

AU - Baldi, Simone

PY - 2017

Y1 - 2017

N2 - This paper investigates robust adaptive control of uncertain switched linear systems considering disturbances. Two modifications of the adaptive law of switched linear systems [1] based on parameter projection and a leakage approach are developed to guarantee the stability of the closed-loop switchedlinear system: a projection law that requires knowledge of the bounds of the parameter estimates; and a leakage law based on initial conditions of the parameter estimates that does not require knowledge of the bounds of the parameter estimates. The closed-loop switched linear system is shown to beglobally uniformly ultimately bounded. In addition, the ultimate bounds of both adaptive control schemes are also given. A numerical example is provided to illustrate the effectiveness of the proposed methods.

AB - This paper investigates robust adaptive control of uncertain switched linear systems considering disturbances. Two modifications of the adaptive law of switched linear systems [1] based on parameter projection and a leakage approach are developed to guarantee the stability of the closed-loop switchedlinear system: a projection law that requires knowledge of the bounds of the parameter estimates; and a leakage law based on initial conditions of the parameter estimates that does not require knowledge of the bounds of the parameter estimates. The closed-loop switched linear system is shown to beglobally uniformly ultimately bounded. In addition, the ultimate bounds of both adaptive control schemes are also given. A numerical example is provided to illustrate the effectiveness of the proposed methods.

KW - Robust adaptive control

KW - switched linear systems

U2 - 10.1109/ICCA.2017.8003154

DO - 10.1109/ICCA.2017.8003154

M3 - Conference contribution

SN - 978-1-5386-2679-5

SP - 753

EP - 758

BT - Proceedings of the 2017 13th IEEE International Conference on Control & Automation (ICCA)

A2 - Liu, L.

A2 - Lin, H.

PB - IEEE

CY - Piscataway, NJ, USA

T2 - ICCA 2017 13th International Conference on Control & Automation

Y2 - 3 July 2017 through 6 July 2017

ER -

On robust adaptive control of switched linear systems

Abstract

Conference

Keywords

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