State estimation strategy for a class of nonlinear algebro-differential parameter-varying systems

Abstract

This paper deals with the state estimation problem for nonlinear algebro-differential parameter-varying systems. Sufficient conditions for the existence of the observer which guarantee stability regarding Linear Matrix Inequalities constraints using the Lyapunov stability theory are given. The approach presented includes the proportional and proportional-integral observer as particular cases and allows some robustness concerning uncertainties and modelling errors and its steady state accuracy. A rolling disc model is given to illustrate our results.

Keywords:

• LPV systems
• generalised dynamic observer
• Lipschitz nonlinearities

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability

The data that support the findings of this study are openly available in Github at: https://github.com/IIsaaczetinarios/GDNPVO-matrices-and-figures.git