An adaptive observer design approach for discrete-time nonlinear systems

2017/04/18 by Krishnan Srinivasarengan, Srinivasarengan, Krishnan, José Ragot +5
Engineering · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #Stability and Control of Uncertain Systems

paper · pdf · doi:10.48550/arxiv.1704.05388

Abstract

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 \mathbbL₂ gain. Based on this strategy, we propose a design for adaptive observers for nonlinear systems whose T-S form can have unmeasured premise variables.

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