Improved Transients in Multiple Frequencies Estimation via Dynamic Regressor Extension and Mixing

Stanislav Aranovskiy (1) , Alexey Bobtsov (2) , Romeo Ortega (3) , Anton Pyrkin (2)

1 ITMO University [Russia]
2 Saint Petersburg State University of Information Technologies Mechanics and Optics
3 L2S - Laboratoire des signaux et systèmes

A problem of performance enhancement for multiple frequencies estimation is studied. First, we consider a basic gradient-based estimation approach with global exponential convergence. Next, we apply dynamic regressor extension and mixing technique to improve transient performance of the basic approach and ensure non-strict monotonicity of estimation errors. Simulation results illustrate benefits of the proposed solution.

Domains: Automatic

Stanislav Aranovskiy, Alexey Bobtsov, Romeo Ortega, Anton Pyrkin. Improved Transients in Multiple Frequencies Estimation via Dynamic Regressor Extension and Mixing. 12th IFAC International Workshop on Adaptation and Learning in Control and Signal Processing, Jun 2016, Eindhoven, Netherlands. pp.99 - 104, ⟨10.1016/j.ifacol.2016.07.934⟩. ⟨hal-01612265⟩