Computing impulsive equilibrium sets with respect to target zone for linear impulsive systems

Abstract : Linear impulsive control systems are convenient to formulate a venue of real-life problems, from diseases treatment to aerospace guidance. To take into account that the origin is the only formal equilibrium of such systems while usual control objective consist in stabilizing a desired target region that exclude it, a different concept of equilibrium-which includes periodic/orbital trajectories-has been defined. This work presents a new characterization of the equilibrium sets respecting this target region for linear impulsive systems. Based on the Lucasz-Markov theorem a tractable and non conservative description is obtained. Furthermore, to assess this description, the constrained equilibrium set is explicitly used in the formulation of a model-based controller.
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https://hal.laas.fr/hal-02403599
Contributor : Christophe Louembet <>
Submitted on : Tuesday, December 10, 2019 - 9:46:35 PM
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Christophe Louembet, Alejandro Hernan Gonzalez, Ignacio Sanchez. Computing impulsive equilibrium sets with respect to target zone for linear impulsive systems. 2019. ⟨hal-02403599⟩

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