Resumen

SUAREZ CASTANON, Miguel Santiago. Parameter and State Variable Reconstruction for a Class of Chaotic with Application to Information Codification and De-codification. Comp. y Sist. [online]. 2005, vol.9, n.2, pp.165-179. ISSN 2007-9737.

In this paper we describe how to use exact state and parametric integral equations re-constructors for the identification of the state variables of dynamic chaotic discrete and continuous non-lineal systems. In both cases, we avoid the use of asymptotic observers and Takens Theorem. Identification and reconstruction of discrete systems is illustrated with Lozi's system. The state reconstruction schema for discrete systems was used in the design of an information codification and de-codification mechanism. The re-constructor approach is extended for hyper-chaotic maps. The codification and de-codification schema presents an enhancement that consists on using the observable signal also as porter of the codified information. The developed ideas for discrete systems are translated to the continuous case, by taking iterative integrals in the same case as the delayed outputs were used in the designing of exact re-constructors. The non-observable reconstruction process was done by means of the design of iterative integral equations; identification of the unknown parameters is obtained by solving a linear equation system where the unknowns are formed as lineal combinations of such parameters. All these processes are illustrated with Duffing's oscillator and Chua's circuit.

Palabras llave : Parameter reconstruction; Chaotic systems; Information codification and de-codification.