Please use this identifier to cite or link to this item: http://cicese.repositorioinstitucional.mx/jspui/handle/1007/1683
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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