An adaptive observer design approach for discrete-time nonlinear systems

Autor: Srinivasarengan, Krishnan, Ragot, José, Aubrun, Christophe, Maquin, Didier
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: We discuss a design approach for nonlinear discrete-time adaptive observer. This involves transforming a nonlinear system into a quasi-LPV (Linear Parameter Varying) polytopic model in Takagi-Sugeno (T-S) form using nonlinear embedding and sector nonlinearity (SNL) transformation. We then develop a discrete-time counterpart for a joint state and parameter estimation, based on design strategies developed for continuous time models in the existing literature. The design uses a Lyapunov approach and provides an error bounded by $\mathbb{L}_2$ gain. Based on this strategy, we propose a design for adaptive observers for nonlinear systems whose T-S form can have unmeasured premise variables.
Comment: Submitted to the International Journal of Applied Mathematics and Computer Science, February 2017
Databáze: arXiv