Dissipativity-based switching adaptive control

Tengfei Liu; David J. Hill; Cong Wang

doi:10.1109/TAC.2010.2102490

Dissipativity-based switching adaptive control

Tengfei Liu, David J. Hill, Cong Wang

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

14 Citations (Scopus)

Abstract

This technical note introduces a new dissipativity-based switching adaptive control strategy for uncertain systems. In this approach, the parametric uncertainties in systems are not considered on continuums but studied on finite discrete sets. Differently to multiple model supervisory control, dissipativity-based switching adaptive control needs no estimation errors for each switching decision. The switching logic is designed based on the relationship between dissipativity/passivity and adaptive systems, such that in the process of switching control, a transient boundary can be guaranteed by appropriately switching the parameter estimates. This makes it possible to apply the strategy for nonlinear systems modeled in local regions in the state space. We also discuss the implementation of the new idea to general dissipative systems and feedback passive systems. An example with simulation is employed to show the effectiveness of the approach.

Original language	English
Pages (from-to)	660-665
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	56
Issue number	3
DOIs	https://doi.org/10.1109/TAC.2010.2102490
Publication status	Published - Mar 2011
Externally published	Yes

Keywords

Convergence
dissipativity/passivity
switching adaptive control
transient boundary
uncertain nonlinear systems

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10.1109/TAC.2010.2102490

Cite this

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title = "Dissipativity-based switching adaptive control",

abstract = "This technical note introduces a new dissipativity-based switching adaptive control strategy for uncertain systems. In this approach, the parametric uncertainties in systems are not considered on continuums but studied on finite discrete sets. Differently to multiple model supervisory control, dissipativity-based switching adaptive control needs no estimation errors for each switching decision. The switching logic is designed based on the relationship between dissipativity/passivity and adaptive systems, such that in the process of switching control, a transient boundary can be guaranteed by appropriately switching the parameter estimates. This makes it possible to apply the strategy for nonlinear systems modeled in local regions in the state space. We also discuss the implementation of the new idea to general dissipative systems and feedback passive systems. An example with simulation is employed to show the effectiveness of the approach.",

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AB - This technical note introduces a new dissipativity-based switching adaptive control strategy for uncertain systems. In this approach, the parametric uncertainties in systems are not considered on continuums but studied on finite discrete sets. Differently to multiple model supervisory control, dissipativity-based switching adaptive control needs no estimation errors for each switching decision. The switching logic is designed based on the relationship between dissipativity/passivity and adaptive systems, such that in the process of switching control, a transient boundary can be guaranteed by appropriately switching the parameter estimates. This makes it possible to apply the strategy for nonlinear systems modeled in local regions in the state space. We also discuss the implementation of the new idea to general dissipative systems and feedback passive systems. An example with simulation is employed to show the effectiveness of the approach.

KW - Convergence

KW - dissipativity/passivity

KW - switching adaptive control

KW - transient boundary

KW - uncertain nonlinear systems

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EP - 665

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

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ER -

Dissipativity-based switching adaptive control

Abstract

Keywords

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Dissipativity-based switching adaptive control

Cite this