Finite-time parameters estimation of the Chua system

Abstract

In this work, the unknown set of parameters of the Chua system is recovered under the hypothesys that the voltages of the capacitors are available. To this end, focusing on the differential equations, the Volterra kernel-based approach is used to perform an estimation without the uncertainty of the unmeasurable derivatives and the unknown initial conditions

Volterra’s kernels-based finite-time parameters estimation of the Chua system

“…In this paper, the Chua system is proven to be algebraically observable and identifiable, with respect to the voltages outputs, and starting from the ideas proposed by [23], the Volterra operator with BF-NK is used to achieve a joint parametric estimation of the system parameters with arbitrary non-asymptotic convergence properties. It represents a revised version of [24], aiming to provide new contributions in terms of: clarification on the advantages of the proposed strategy, detailed description of the parameters estimation method based on kernels functions and finally presentation of new simulated results. Some comparisons are reported in terms of accuracy and robustness with an existing method in literature.…”