On partially minimum phase systems and disturbance decoupling with stability

Abstract : In this paper, we consider the problem of disturbance decoupling for a class of non-minimum phase nonlinear systems. Based on the notion of partially-minimum phaseness, we shall characterize all actions of disturbances which can be decoupled via a static state feedback while preserving stability of the internal residual dynamics. The proposed methodology is then extended to the sampled-data framework via multi-rate design to cope with the rising of the so-called sampling-zero dynamics intrinsically induced by classical single-rate sampling.
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Submitted on : Tuesday, May 7, 2019 - 11:55:23 AM
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Mattia Mattioni, Marwa Hassan, Salvatore Monaco, Dorothée Normand-Cyrot. On partially minimum phase systems and disturbance decoupling with stability. Nonlinear Dynamics, Springer Verlag, 2019, ⟨10.1007/s11071-019-04999-3⟩. ⟨hal-02122347⟩

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