New Results on Parameter Estimation via Dynamic Regressor Extension and Mixing: Continuous and Discrete-time Cases

Autor:	Ortega, Romeo, Aranovskiy, Stanislav, Pyrkin, Anton A., Astolfi, Alessandro, Bobtsov, Alexey A.
Rok vydání:	2019
Předmět:	Electrical Engineering and Systems Science - Systems and Control Computer Science - Performance
Druh dokumentu:	Working Paper
Popis:	We present some new results on the dynamic regressor extension and mixing parameter estimators for linear regression models recently proposed in the literature. This technique has proven instrumental in the solution of several open problems in system identification and adaptive control. The new results include: (i) a unified treatment of the continuous and the discrete-time cases; (ii) the proposal of two new extended regressor matrices, one which guarantees a quantifiable transient performance improvement, and the other exponential convergence under conditions that are strictly weaker than regressor persistence of excitation; and (iii) an alternative estimator ensuring parameter estimation in finite-time that retains its alertness to track time-varying parameters. Simulations that illustrate our results are also presented. Comment: 8 pages, 7 figures, under review in IEEE TAC
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1908.05125 Zobrazit plný text záznamu View this record from Arxiv