Observer for nonlinear systems using mean value theorem and particle swarm optimization algorithm.

A new observer design for nonlinear systems is considered. The main idea consist of the determination of the estimation error and mean value theorem parameters (β) to introduce them into proposed observer structure. This process is designed on basis of mean value theorem (MVT) and Particle Swarm Optimization algorithm (PSO). This observer does not use Linear Matrix Inequality technique (LMI) for stability study. The stability study relies on the use of a classical quadratic Lyapunov function. The observer's gains are determined systematically. For the validation of theoretical development proposed in this paper. We consider two practical realization that deals the secure communication problem and a statistical performance analysis is realized.