An algorithm for computing robust forward invariant sets of two dimensional nonlinear systems

Mukhopadhyay, Shayok; Zhang, Fumin

doi:10.1002/asjc.2360

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An algorithm for computing robust forward invariant sets of two dimensional nonlinear systems

2020
By Mukhopadhyay, Shayok ; Zhang, Fumin
Source: Asian Journal of Control, 23(5), 2403-2419

[PDF-1.42 MB]

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Journal Title:

Asian Journal of Control
Personal Author:

Mukhopadhyay, Shayok ; Zhang, Fumin

Mukhopadhyay, Shayok ; Zhang, Fumin Less -
NOAA Program & Office:

NOS (National Ocean Service)
Description:

SummaryRobustness of nonlinear systems can be analyzed by computing robust forward invariant sets (RFISs). Knowledge of the smallest RFIS of a system, can help analyze system performance under perturbations. A novel algorithm is developed to compute an approximation of the smallest RFIS for two‐dimensional nonlinear systems subjected to a bounded additive disturbance. The problem of computing an RFIS is formulated as a path planning problem, and the algorithm developed plans a path which iteratively converges to the boundary of an RFIS. Rigorous mathematical analysis shows that the proposed algorithm terminates in a finite number of iterations, and that the output of the proposed algorithm is an RFIS. Simulations are presented to illustrate the proposed algorithm, and to support the mathematical results. This work may aid future development, for use with higher dimensional systems.
Keywords:

[+]

Control And Systems Engineering Electrical And Electronic Engineering Mathematics (miscellaneous)
Source:

Asian Journal of Control, 23(5), 2403-2419
DOI:

https://doi.org/10.1002/asjc.2360
ISSN:

1561-8625;1934-6093;
Format:

PDF
Publisher:

Wiley
Document Type:

Journal Article
Funding:

Grant no. NA16NOS0120028
Rights Information:

Accepted Manuscript
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Library
Main Document Checksum:

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urn:sha256:1cd5b01347fa8c44afc0144eaa59bc96a8fd0ae3dd3a8b683f5f45ee9a6b564e
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https://repository.library.noaa.gov/view/noaa/57216/noaa_57216_DS1.pdf
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An algorithm for computing robust forward invariant sets of two dimensional nonlinear systems

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