Observer Design for Semilinear Descriptor Systems with Applications to Chaos-Based Secure Communication

Reduced-order observers are designed for a class of Lipschitz semilinear descriptor systems. Sufficient conditions for the existence of an observer are characterized in terms of the rank of system operators and solvability of one linear matrix inequality. In application part, the paper considers the issues of secure communication via chaotic systems subject to unknown parameters. Simulations are done on a Lorenz chaotic system to verify the effectiveness of the main result.