Estimation of the states of a class of bilinear systems: a differential algebraic approach

A differential algebraic approach is proposed for the estimation of the states of a class of bilinear systems. An observer is easily constructed for a single output observable bilinear system class (in the observability sense of Diop and Fliess, 1991). An application to a chemical reactor model is given.<<ETX>>

[1]  S. Diop On universal observability , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[2]  On observers for a class of bilinear systems , 1993, Proceedings of IEEE International Conference on Control and Applications.

[3]  M. Fliess,et al.  Nonlinear observability, identifiability, and persistent trajectories , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[4]  H. Sira-Ramirez The differential algebraic approach in nonlinear dynamical feedback controlled landing maneuvers , 1992 .

[5]  A note on observers for a bilinear system class , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[6]  D. D. Perlmutter Stability of chemical reactors , 1972 .

[7]  Arthur J. Krener,et al.  Linearization by output injection and nonlinear observers , 1983 .

[8]  S. Diop,et al.  Closedness of morphisms of differential algebraic sets. Applications to system theory , 1993 .