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Finite Time Controllers
Abstract
Continuous finite time differential equations are introduced as fast accurate controllers for dynamical systems. These have qualities superior to controllers which are currently in use in such applications as robotics. The structure of the phase portrait for scalar second order finite time systems is determined. This characterization is used to develop a class of second order finite time systems which can be used as controllers.
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Citations
Cited by
Finite-time stochastic synchronization of complex networks
Yang, X., & Cao, J. (2010) · Applied Mathematical Modelling · doi:10.1016/j.apm.2010.03.012 · Cited by 323
Predictor-feedback prescribed-time stabilization of LTI systems with input delay
Espitia, N., & Perruquetti, W. (2022) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2021.3093527 · Cited by 63
Adaptive fixed-time stabilization for a class of nonlinear uncertain systems
Zhao, Y., Yao, J., Tian, J., & Yu, J. (2023) · Mathematical Biosciences and Engineering · doi:10.3934/mbe.2023359 · Cited by 9
Metadata
- Authors
- Haimo, V. T.
- Venue
- SIAM Journal on Control and Optimization
- Published
- 1986-07
- Volume
- 24
- Issue
- 4
- Pages
- 760-770
- ISSN
- 0363-0129 (ISSN-L)
- 1095-7138
- OpenAlex
- W2047340799
- Cited by
- 920
- References
- 0
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- Haimo, V. T. (1986). Finite Time Controllers. SIAM Journal on Control and Optimization. https://doi.org/10.1137/0324047
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
