An extremum-seeking control approach for observer design

In this study, we propose to circumvent the difficulties associated with the computation of the observer gain for nonlinear systems by using an extremum-seeking control approach to generate optimal observer gains for a general class of nonlinear systems. This paper proposes a proportional-integral extremum-seeking control (PIESC) technique for the design of nonlinear observers. The PIESC technique is a generalization of the standard perturbation based techniques that provides fast transient performance of the closed-loop system to the optimum equilibrium of a measured objective function. In this application of PIESC, the gain of the nonlinear observer is computed in real-time to minimize the least-squares output prediction error. Two examples are used to demonstrate the effectiveness of this technique. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.