High gain observer: attenuation of the peak phenomena

In many problems of estimation, the high gain technique is used to compensate for nonlinear terms in order to guarantee the convergence of the estimator. However, the use of the high gain generally generates the so-called peak phenomena (at the beginning, the estimated trajectory deviates from the desired one). We extend the observer stated in J. P. Gauthier et al. (1992) to a class of MIMO nonlinear systems. The proposed observer takes into account the peak phenomena. An application to a heat exchanger is illustrated in simulation.