Displaying similar documents to “Differential flatness and defect: an overview”

Poles and zeroes of nonlinear control systems

Jean-François Pommaret (2002)

Kybernetika

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During the last ten years, the concepts of “poles” and “zeros” for linear control systems have been revisited by using modern commutative algebra and module theory as a powerful substitute for the theory of polynomial matrices. Very recently, these concepts have been extended to multidimensional linear control systems with constant coefficients. Our purpose is to use the methods of “algebraic analysis” in order to extend these concepts to the variable coefficients case and, as a byproduct,...

Modeling and control of induction motors

Emmanuel Delaleau, Jean-Paul Louis, Romeo Ortega (2001)

International Journal of Applied Mathematics and Computer Science

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This paper is devoted to the modeling and control of the induction motor. The well-established field oriented control is recalled and two recent control strategies are exposed, namely the passivity-based control and the flatness-based control.

Rotary inverted pendulum: trajectory tracking via nonlinear control techniques

Luis E. Ramos-Velasco, Javier Ruiz, Sergej Čelikovský (2002)

Kybernetika

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The nonlinear control techniques are applied to the model of rotary inverted pendulum. The model has two degrees of freedom and is not exactly linearizable. The goal is to control output trajectory of the rotary inverted pendulum asymptotically along a desired reference. Moreover, the designed controller should be robust with respect to specified perturbations and parameters uncertainties. A combination of techniques based on nonlinear normal forms, output regulation and sliding mode...