Hybrid dynamical system identification : geometry, sparsity and nonlinearities

Abstract : In automatic control, obtaining a model is always the cornerstone of the synthesis procedures such as controller design, fault detection or prediction... This thesis deals with the identification of a class of complex systems, hybrid dynamical systems. These systems involve the interaction of continuous and discrete behaviors. The goal is to build a model from experimental measurements of the system inputs and outputs. A new approach for the identification of linear hybrid systems based on the geometric properties of hybrid systems in the parameter space is proposed. A new algorithm is then proposed to recover the sparsest solutions of underdetermined systems of linear equations. This allows us to improve an identification approach based on the error sparsification. In addition, new approaches based on kernel models are proposed for the identification of nonlinear hybrid systems and piecewise smooth systems
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van Luong Le. Hybrid dynamical system identification : geometry, sparsity and nonlinearities. Other. Université de Lorraine, 2013. English. ⟨NNT : 2013LORR0102⟩. ⟨tel-01750090⟩

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