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Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems
Abstract
Stability analysis is developed for uncertain nonlinear switched systems. While being asymptotically stable and homogeneous of degree q < 0, these systems are shown to approach the equilibrium point in finite time. Restricted to second order systems, this feature is additionally demonstrated to persist regardless of inhomogeneous perturbations. Based on this fundamental property, switched control algorithms are then developed to globally stabilize uncertain minimum phase systems of uniform m-vector relative degree (2,...,2) T . The controllers constructed do not rely on the generation of sliding motions while providing robustness features similar to those possessed by their sliding mode counterparts. The proposed synthesis procedure is illustrated via application to a friction servo-motor.
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Cited by
A class of predefined-time stable dynamical systems
Sánchez-Torres, J. D., Gómez-Gutiérrez, D., López, E., & Loukianov, A. G. (2018) · IMA Journal of Mathematical Control and Information · doi:10.1093/imamci/dnx004 · Cited by 570
Stability notions and Lyapunov functions for sliding mode control systems
Polyakov, A., & Fridman, L. (2014) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2014.01.002 · Cited by 420
A new approach to fast global finite-time stabilization of high-order nonlinear system
Sun, Z.-Y., Yun, M.-M., & Li, T. (2017) · Automatica · doi:10.1016/j.automatica.2017.04.024 · Cited by 292
Metadata
- Authors
- Orlov, Y.
- Venue
- SIAM Journal on Control and Optimization
- Published
- 2004-01
- Volume
- 43
- Issue
- 4
- Pages
- 1253-1271
- ISSN
- 0363-0129 (ISSN-L)
- 1095-7138
- OpenAlex
- W2052883072
- Cited by
- 687
- References
- 0
- FWCI
- 27.83
- Type
- journal article
- Language
- en
- Open access
- closed
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- Orlov, Y. (2004). Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems. SIAM Journal on Control and Optimization. https://doi.org/10.1137/s0363012903425593
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