A class of predefined-time stable dynamical systems
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This article introduces predefined-time stable dynamical systems which are a class of fixed-time stable dynamical systems with settling time as an explicit parameter that can be defined in advance. This concept allows for the design of observers and controllers for problems that require to fulfil hard time constraints. An example is encountered in the fault detection and isolation problem, where mode detection in a timely manner needs to be guaranteed in order to apply a recovery action. Furthermore, through the notion of strong predefined-time stability, the approach hereinafter presented permits to overcome the problem of overestimation of the convergence time bound encountered in previous methods for the analysis of finite-time stable systems, where the stabilization time is often an unbounded function of the initial conditions of the system. A Lyapunov analysis is provided together with a detailed discussion of the applications to consensus and first order sliding mode controller design.
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The predefined-time control concept allows arbitrary pre-specification of the system convergence time, independent of initial states or design parameters.
“To tackle these challenges, the predefined-time control concept introduced in [29] becomes the focus of this paper, as it allows arbitrary pre-specification of the system convergence time, independent of initial states or design parameters.”
From Predefined-Time Tracking Control of Servo Hydraulic Cylinder Based on Reinforcement Learning (2025) · cites this paper as [29]
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Adaptive Finite-Time Tracking Control of Nonlinear Systems With Dynamics Uncertainties
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Predefined-Time Tracking Control of Servo Hydraulic Cylinder Based on Reinforcement Learning
Han, T., Nie, X., Que, N., Lu, J., Yao, J., & Yu, X. (2025) · Actuators · doi:10.3390/act15010009 · Cited by 1 · see citing works
- Authors
- Sánchez-Torres, J. D., Gómez-Gutiérrez, D., López, E., & Loukianov, A. G.
- Affiliations
- CINVESTAV-IPN, Unidad Guadalajara, Zapopan, México
- Tecnológico de Monterrey, Campus Guadalajara, Zapopan, México
- Universidad Nacional de Colombia (CO)
- Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional (MX)
- Venue
- IMA Journal of Mathematical Control and Information
- Publisher
- Oxford University Press (OUP)
- Published
- 2017-02-27
- Volume
- 35
- Issue
- Supplement_1
- Pages
- i1-i29
- ISSN
- 0265-0754 (ISSN-L)
- 1471-6887
- OpenAlex
- W2738417046
- Cited by
- 570
- References
- 38
- Citations by year
- 2026: 101 · 2025: 141 · 2024: 110 · 2023: 74 · 2022: 57 · 2021: 42 · 2020: 25 · 2019: 13 · 2018: 4 · 2017: 3
- FWCI
- 7.73
- Type
- journal article
- Language
- en
- Open access
- green
- hdl.handle.net
- Licence
- Locations
- IMA Journal of Mathematical Control and Information (publishedVersion)
- ITESO Institutional Repository (ReI) (Western Institute of Technology and Higher Education) (submittedVersion, cc-by-nc)
- Funders
- CONACyT, México (252405, 240280)
- COLCIENCIAS, Colombia (252405)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Controllability of Differential Equations
- Keywords
- predefined-time stability, fixed-time stability, finite-time stability, convergence time bound, Lyapunov analysis, observer, controllers, fault detection and isolation, mode identification, consensus, first-order sliding mode control
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