A Polynomial Solution to the Model Matching Problem of Nonlinear Time-delay Systems

Miroslav Halás (1) , Claude H. Moog (2)

1 FEI - Faculty of Electrical Engineering and Information Technology
2 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes

In this paper the model matching problem is considered for single input single output nonlinear systems with delays. A full characterization for its solvability is provided within a simple class of compensators. The approach is developed by means of the transfer functions of nonlinear time-delay systems. The state elimination problem for the systems given by their state-space representation is discussed as well.

Mots clés: Algebraic/geometric methods; Nonlinear system theory; Delay systems

Domaines: Automatique

Miroslav Halás, Claude H. Moog. A Polynomial Solution to the Model Matching Problem of Nonlinear Time-delay Systems. ECC 2009, Aug 2009, Budapest, Hungary. pp.3551-3556. ⟨hal-00582686⟩