Adaptive passivity of nonlinear systems using time-varying gains

M. A. Duarte-Mermoud; R. Castro-Linares; A. Castillo-Facuse

doi:10.1023/A:1020862904420

Adaptive passivity of nonlinear systems using time-varying gains

M. A. Duarte-Mermoud
, R. Castro-Linares
, A. Castillo-Facuse

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

In this paper, an adaptive controller with time-varying gains is proposed to solve the problem of making a single-input single-output (SISO) nonlinear system, with explicit linear parametric uncertainty, equivalent to a passive system. Some stability issues associated to the resultant closed-loop passive system are also discussed. The results obtained are applied to two examples, a third order nonlinear system and a model of a magnetic levitation system, to show the controller methodology design.

Original language	English
Pages (from-to)	333-351
Number of pages	19
Journal	Dynamics and Control
Volume	11
Issue number	4
DOIs	https://doi.org/10.1023/A:1020862904420
State	Published - Dec 2001
Externally published	Yes

Keywords

Adaptive control
Feedback passive systems
Nonlinear control
Stabilization

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10.1023/A:1020862904420

Cite this

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abstract = "In this paper, an adaptive controller with time-varying gains is proposed to solve the problem of making a single-input single-output (SISO) nonlinear system, with explicit linear parametric uncertainty, equivalent to a passive system. Some stability issues associated to the resultant closed-loop passive system are also discussed. The results obtained are applied to two examples, a third order nonlinear system and a model of a magnetic levitation system, to show the controller methodology design.",

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N2 - In this paper, an adaptive controller with time-varying gains is proposed to solve the problem of making a single-input single-output (SISO) nonlinear system, with explicit linear parametric uncertainty, equivalent to a passive system. Some stability issues associated to the resultant closed-loop passive system are also discussed. The results obtained are applied to two examples, a third order nonlinear system and a model of a magnetic levitation system, to show the controller methodology design.

AB - In this paper, an adaptive controller with time-varying gains is proposed to solve the problem of making a single-input single-output (SISO) nonlinear system, with explicit linear parametric uncertainty, equivalent to a passive system. Some stability issues associated to the resultant closed-loop passive system are also discussed. The results obtained are applied to two examples, a third order nonlinear system and a model of a magnetic levitation system, to show the controller methodology design.

KW - Adaptive control

KW - Feedback passive systems

KW - Nonlinear control

KW - Stabilization

UR - https://www.scopus.com/pages/publications/0035780454

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ER -

Adaptive passivity of nonlinear systems using time-varying gains

Abstract

Keywords

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