H∞ observer-based control for discrete-time one-sided Lipschitz systems with unknown inputs
Benallouch, M., Boutayeb, M. and Trinh, H. 2016, H∞ observer-based control for discrete-time one-sided Lipschitz systems with unknown inputs, in CDC 2015: Proceedings of the IEEE 54th Annual Conference on Decision and Control, IEEE, Piscataway, N.J., pp. 6998-7003, doi: 10.1109/CDC.2015.7403322.
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Title
H∞ observer-based control for discrete-time one-sided Lipschitz systems with unknown inputs
CDC 2015: Proceedings of the IEEE 54th Annual Conference on Decision and Control
Publication date
2016
Start page
6998
End page
7003
Total pages
6
Publisher
IEEE
Place of publication
Piscataway, N.J.
Summary
This paper investigates the problem of robust observer-based stabilization for a class of one-sided nonlinear discrete-time systems subjected to unknown inputs. We propose a simple simultaneous state and input estimator. A nonlinear controller is then proposed to compensate the effects of unknown inputs and to ensure asymptotic stability in closed loop. Several mathematical artifacts are used to deduce stability conditions expressed in terms of LMIs. To show high performances of the proposed technique, a relevant example is provided with comparisons to recent results.
010203 Calculus of Variations, Systems Theory and Control Theory 010204 Dynamical Systems in Applications 090602 Control Systems, Robotics and Automation
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