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Nonlinear regulation of a Lorenz System by feedback linearization techniques. | |
JOAQUIN ALVAREZ GALLEGOS | |
Acceso Abierto | |
Atribución-NoComercial-SinDerivadas | |
http://dx.doi.org/10.1007/BF01985075 | |
Chaotic Lorenz system, Dynamical properties, Linearization techniques, Linearizability, Zero dynamics | |
"In this paper we analyze some dynamical properties of a chaotic Lorenz system driven by a control input. These properties are the input-state and the input-output feedback linearizability, the stability of the zero dynamics, and the phase minimality of the system. We show that the controlled Lorenz system is feedback equivalent to a controllable linear system. We also show that the zero dynamics are asymptotically stable when the output is an arbitrary state. These facts allow designing control laws such that the closed-loop system has asymptotically stable equilibrium points with dynamic behavior free from chaotic transients. The controllers are robust in the sense that the closed-loop system is stable and non chaotic around a nominal set of parameter values. The results also show that the proposed controllers give better responses compared to linear algorithms obtained from standard linearization techniques, and exhibit a good performance even when the control input is bounded." | |
Springer | |
1994 | |
Artículo | |
Dynamics and Control, Vol. 4, No. 3, Págs. 277-298 | |
Inglés | |
Álvarez Gallegos,J.1994.Nonlinear regulation of a Lorenz system by feedback linearization techniques.Dynamics and Control,4(3),277-298.doi:10.1007/BF01985075 | |
ELECTRÓNICA | |
Versión publicada | |
publishedVersion - Versión publicada | |
Appears in Collections: | Artículos - Electrónica y Telecomunicaciones |
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