On simultaneous parameter identification and state estimation for cascade state affine systems

In this paper, an adaptive observer is proposed to solve the problem of simultaneous parameter identification and state estimation for a class of cascade state affine systems. Sufficient conditions are given in order to guarantee the exponential convergence of the proposed observer. Furthermore, simulation results are given illustrating the performance of the proposed observer when it is applied in the synchronization and identification problem of Rossler’s chaotic system.