Projection-Based Controllers with Inherent Dissipativity Properties

Hoang Chu; S.J.A.M. Van den Eijnden; W.P.M.H. Heemels

doi:10.1109/CDC49753.2023.10383548

Projection-Based Controllers with Inherent Dissipativity Properties

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

4 Citations (Scopus)

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Abstract

Projection-based Controllers (PBCs) are currently gaining traction in both scientific and engineering communities. In PBCs, the input-output signals of the controller are kept in sector-bounded sets by means of projection. In this paper, we will show how this projection operation can be used to induce useful passivity or general dissipativity properties for broad classes of (unprojected) nonlinear controllers that otherwise would not have these properties. The induced dissipativity properties of PBC will be exploited to guarantee asymptotic stability of negative feedback interconnections of passive nonlinear plants and suitably designed PBC, under mild conditions. Generalizations to so-called (q,s,r)-dissipativity will be presented as well. To illustrate the effectiveness of PBC control design via these passivity-based techniques, a numerical example is provided.

Original language	English
Title of host publication	2023 62nd IEEE Conference on Decision and Control, CDC 2023
Publisher	Institute of Electrical and Electronics Engineers
Pages	5664-5669
Number of pages	6
ISBN (Electronic)	979-8-3503-0124-3
DOIs	https://doi.org/10.1109/CDC49753.2023.10383548
Publication status	Published - 19 Jan 2024
Event	62nd IEEE Conference on Decision and Control, CDC 2023 - Singapore, Singapore Duration: 13 Dec 2023 → 15 Dec 2023 Conference number: 62

Publication series

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

Conference

Conference	62nd IEEE Conference on Decision and Control, CDC 2023
Abbreviated title	CDC 2023
Country/Territory	Singapore
City	Singapore
Period	13/12/23 → 15/12/23

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10.1109/CDC49753.2023.10383548

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Chu, H., Van den Eijnden, S. J. A. M., & Heemels, W. P. M. H. (2024). Projection-Based Controllers with Inherent Dissipativity Properties. In 2023 62nd IEEE Conference on Decision and Control, CDC 2023 (pp. 5664-5669). Article 10383548 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC49753.2023.10383548

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Chu, H , Van den Eijnden, SJAM & Heemels, WPMH 2024, Projection-Based Controllers with Inherent Dissipativity Properties. in 2023 62nd IEEE Conference on Decision and Control, CDC 2023., 10383548, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers, pp. 5664-5669, 62nd IEEE Conference on Decision and Control, CDC 2023, Singapore, Singapore, 13/12/23. https://doi.org/10.1109/CDC49753.2023.10383548

Projection-Based Controllers with Inherent Dissipativity Properties. / Chu, Hoang ; Van den Eijnden, S.J.A.M.; Heemels, W.P.M.H.
2023 62nd IEEE Conference on Decision and Control, CDC 2023. Institute of Electrical and Electronics Engineers, 2024. p. 5664-5669 10383548 (Proceedings of the IEEE Conference on Decision and Control).

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

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N2 - Projection-based Controllers (PBCs) are currently gaining traction in both scientific and engineering communities. In PBCs, the input-output signals of the controller are kept in sector-bounded sets by means of projection. In this paper, we will show how this projection operation can be used to induce useful passivity or general dissipativity properties for broad classes of (unprojected) nonlinear controllers that otherwise would not have these properties. The induced dissipativity properties of PBC will be exploited to guarantee asymptotic stability of negative feedback interconnections of passive nonlinear plants and suitably designed PBC, under mild conditions. Generalizations to so-called (q,s,r)-dissipativity will be presented as well. To illustrate the effectiveness of PBC control design via these passivity-based techniques, a numerical example is provided.

AB - Projection-based Controllers (PBCs) are currently gaining traction in both scientific and engineering communities. In PBCs, the input-output signals of the controller are kept in sector-bounded sets by means of projection. In this paper, we will show how this projection operation can be used to induce useful passivity or general dissipativity properties for broad classes of (unprojected) nonlinear controllers that otherwise would not have these properties. The induced dissipativity properties of PBC will be exploited to guarantee asymptotic stability of negative feedback interconnections of passive nonlinear plants and suitably designed PBC, under mild conditions. Generalizations to so-called (q,s,r)-dissipativity will be presented as well. To illustrate the effectiveness of PBC control design via these passivity-based techniques, a numerical example is provided.

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Projection-Based Controllers with Inherent Dissipativity Properties

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