Complex continuous nonlinear systems: Their back box identification and their control

Michel Fliess (1) , Cédric Join (1, 2) , Hebertt Sira-Ramirez (3)

1 ALIEN - Algebra for Digital Identification and Estimation
2 CRAN - Centre de Recherche en Automatique de Nancy
3 CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional

Recent advances in estimation theory permit a new approach to nonlinear black box identification, where a phenomenological model is replacing a precise mathematical description. Convincing simulations are provided for two examples: 1) the classic ball and beam system, 2) a large scale linear system, where our setting may be regarded as a powerful alternative to model reduction.

Domaines: Optimisation et contrôle [math.OC]; Ingénierie, finance et science [cs.CE]

Michel Fliess, Cédric Join, Hebertt Sira-Ramirez. Complex continuous nonlinear systems: Their back box identification and their control. 14th IFAC Symposium on System Identification, SYSID 2006, Mar 2006, Newcastle, Australia. ⟨inria-00000824⟩