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Robust observer design for a class of discrete-time nonlinear singular systems with persistent disturbances

par Coutinho, Daniel Ferreira;de Souza, Carlos C.E.;Kinnaert, Michel ;Schons, Silvane
Référence International journal of adaptive control and signal processing
Publication Publié, 2020-03-01

Article révisé par les pairs

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Résumé :

This article addresses the design of a nonlinear observer for nonlinear uncertain discrete-time descriptor systems. The nonlinearities that appear in both state and output equations fulfill a Lipschitz-like condition locally. Besides, the parametric uncertainties can affect the state dynamics as well as the input and output channels. The design methodology ensures input-to-state stability of the observer while minimizing an upper bound on a peak-to-peak performance index relating the disturbances/parametric uncertainties and the error in estimating a given performance signal. The observer design is cast as a convex optimization problem involving a set of linear matrix inequalities subject to a linear matrix equality constraint. The effectiveness of the proposed method is illustrated by numerical examples.