Convergent piecewise affine systems : analysis and design Part I: continuous case

A.V. Pavlov; N. Wouw, van de; H. Nijmeijer

doi:10.1109/CDC.2005.1583019

Convergent piecewise affine systems : analysis and design Part I: continuous case

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

In this paper convergence properties for piecewise affine (PWA) systems are studied. The notions of exponential, uniform and input-to-state convergence are introduced and studied. For PWA systems with continuous right-hand sides it is shown that the existence of a common quadratic Lyapunov function for the linear parts of the system dynamics in every mode is sufficient for the exponential and input-to-state convergence of the system. For a class of PWA control systems we design (output) feedback controllers that make the closed-loop system input-to-state convergent. The conditions for such controller design are formulated in terms of LMIs. The obtained results can be used for designing observers and (output-feedback) tracking controllers for PWA systems.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference(CDC-ECC), 12-15- december 2005, Seville, Spain
Place of Publication	Spain, Sevilla
Pages	on-CDROM
DOIs	https://doi.org/10.1109/CDC.2005.1583019
Publication status	Published - 2005

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title = "Convergent piecewise affine systems : analysis and design Part I: continuous case",

abstract = "In this paper convergence properties for piecewise affine (PWA) systems are studied. The notions of exponential, uniform and input-to-state convergence are introduced and studied. For PWA systems with continuous right-hand sides it is shown that the existence of a common quadratic Lyapunov function for the linear parts of the system dynamics in every mode is sufficient for the exponential and input-to-state convergence of the system. For a class of PWA control systems we design (output) feedback controllers that make the closed-loop system input-to-state convergent. The conditions for such controller design are formulated in terms of LMIs. The obtained results can be used for designing observers and (output-feedback) tracking controllers for PWA systems.",

author = "A.V. Pavlov and \{Wouw, van de\}, N. and H. Nijmeijer",

year = "2005",

doi = "10.1109/CDC.2005.1583019",

language = "English",

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booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference(CDC-ECC), 12-15- december 2005, Seville, Spain",

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Convergent piecewise affine systems : analysis and design Part I: continuous case. / Pavlov, A.V.; Wouw, van de, N.; Nijmeijer, H.
Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference(CDC-ECC), 12-15- december 2005, Seville, Spain. Spain, Sevilla, 2005. p. on-CDROM.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Pavlov, A.V.

AU - Wouw, van de, N.

AU - Nijmeijer, H.

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Y1 - 2005

N2 - In this paper convergence properties for piecewise affine (PWA) systems are studied. The notions of exponential, uniform and input-to-state convergence are introduced and studied. For PWA systems with continuous right-hand sides it is shown that the existence of a common quadratic Lyapunov function for the linear parts of the system dynamics in every mode is sufficient for the exponential and input-to-state convergence of the system. For a class of PWA control systems we design (output) feedback controllers that make the closed-loop system input-to-state convergent. The conditions for such controller design are formulated in terms of LMIs. The obtained results can be used for designing observers and (output-feedback) tracking controllers for PWA systems.

AB - In this paper convergence properties for piecewise affine (PWA) systems are studied. The notions of exponential, uniform and input-to-state convergence are introduced and studied. For PWA systems with continuous right-hand sides it is shown that the existence of a common quadratic Lyapunov function for the linear parts of the system dynamics in every mode is sufficient for the exponential and input-to-state convergence of the system. For a class of PWA control systems we design (output) feedback controllers that make the closed-loop system input-to-state convergent. The conditions for such controller design are formulated in terms of LMIs. The obtained results can be used for designing observers and (output-feedback) tracking controllers for PWA systems.

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DO - 10.1109/CDC.2005.1583019

M3 - Conference contribution

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BT - Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference(CDC-ECC), 12-15- december 2005, Seville, Spain

CY - Spain, Sevilla

ER -

Convergent piecewise affine systems : analysis and design Part I: continuous case

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