Feasibility of Analog Realization of a Sliding-Mode Observer: Application to Data Transmission

One of the main contributions of this paper is to highlight the feasibility of analog realization of a chaotic observer-based communication system. The system is composed of a chaotic Colpitts oscillator considered as transmitter and a sliding-mode observer used as receiver. The method used in this realization is based on the synchronization of two chaotic systems (transmitter-receiver). Moreover, another originality of this work is the application of a sliding-mode observer to a Colpitts oscillator, which has a totally different structure with respect to it. Nevertheless, the proposed structure of the observer is designed particularly for this type of oscillator. Only one of the states of the transmitter (chosen according to theoretical criteria) is sent to the receiver which is designed to reconstruct all of the states of the transmitter knowing only the transmitted state. In order to show an application of this work, a message signal is injected into the transmitter using the so-called inclusion method. The message is then recovered by the receiver once all of the transmitter states are reconstructed. Thus, the so-called left inversion problem is resolved experimentally. The whole system (transmitter-observer) is realized using simple and standard analog components, and practical results close to simulations are obtained.