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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 | |
| Aparece en las colecciones: | Artículos - Electrónica y Telecomunicaciones |
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