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Disturbance Decoupling in Nonlinear Impulsive Systems

Abstract : This work deals with the problem of structural disturbance decoupling by state feedback for nonlinear impulsive systems. The dynamical systems addressed exhibit a hybrid behavior characterized by a nonlinear continuous-time state evolution interrupted by abrupt discontinuities at isolated time instants. The problem considered consists in finding a state feedback such that the system output is rendered totally insensitive to the disturbance. Both the case of static state feedback and that of dynamic state feedback are considered. A necessary and sufficient condition for the existence of a static state feedback that solves the problem in the multivariable case is proven by defining suitable tools in the context of the differential geometric approach. The situation concerning solvability by a dynamic state feedback is examined in the framework of the differntial algeraic approach. A necessary and sufficient solvaility condition is conjectured and discussed.
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https://hal.archives-ouvertes.fr/hal-02268003
Contributor : Claude Moog <>
Submitted on : Monday, September 23, 2019 - 4:14:43 PM
Last modification on : Wednesday, June 24, 2020 - 4:19:39 PM
Long-term archiving on: : Sunday, February 9, 2020 - 8:48:20 AM

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  • HAL Id : hal-02268003, version 1

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Elena Zattoni, Anna Maria Perdon, Giuseppe Conte, Claude H. Moog. Disturbance Decoupling in Nonlinear Impulsive Systems. IEEE 58th Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02268003⟩

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