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Observer based estimation of chaotic dynamics with exponential nonlinearities. (English) Zbl 1363.93047

Summary: The observability of a system with respect to its possible outputs is usually evaluated using the rank criterion of the observability matrix or the observability indices. In addition, this paper uses the properties of the differential equations characterizing real-time electrical circuits which base their nonlinearities on the exponential function. Interplay between mathematical tools and practical considerations is done through observability coefficients, observability matrices and high order sliding mode observers for the Colpitts chaotic system, representative for such nonlinearities.

MSC:

93B07 Observability
34H10 Chaos control for problems involving ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
94C30 Applications of design theory to circuits and networks
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