Control of nonlinear and LPV systems: interval observer-based framework

Denis Efimov (1) , Tarek Raïssi (2) , Ali Zolghadri (3)

1 NON-A - Non-Asymptotic estimation for online systems
2 CEDRIC - Centre d'études et de recherche en informatique et communications
3 IMS - Laboratoire de l'intégration, du matériau au système

The problem of output stabilization of a class of nonlinear systems subject to parametric and signal uncertainties is studied. First, an interval observer is designed estimating the set of admissible values for the state. Next, it is proposed to design a control algorithm for the interval observer providing convergence of interval variables to zero, that implies a similar convergence of the state for the original nonlinear system. An application of the proposed technique shows that a robust stabilization can be performed for linear time-varying and Linear-Parameter-Varying (LPV) systems without assumption that the vector of scheduling parameters is available for measurements. Efficiency of the proposed approach is demonstrated through two examples.

Mots clés: Nonlinear stabilization; LPV systems and control; interval estimation

Domaines: Automatique / Robotique

Denis Efimov, Tarek Raïssi, Ali Zolghadri. Control of nonlinear and LPV systems: interval observer-based framework. IEEE Transactions on Automatic Control, 2013, 58 (3), pp.773-778. ⟨10.1109/TAC.2013.2241476⟩. ⟨hal-00664106⟩