H∞ observer-based control for discrete-time one-sided Lipschitz systems with unknown inputs
Benallouch, M., Boutayeb, M. and Trinh, H. 2014, H∞ observer-based control for discrete-time one-sided Lipschitz systems with unknown inputs, SIAM journal on control and optimization, vol. 52, no. 6, pp. 3751-3775, doi: 10.1137/130915273.
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 for the effects of unknown inputs and to ensure asymptotic stability in a closed loop. Several mathematical artifacts are used to deduce stability conditions expressed in terms of linear matrix inequalities. To show high performances of the proposed technique, a relevant example is provided with comparisons to recent results.
010204 Dynamical Systems in Applications 010203 Calculus of Variations, Systems Theory and Control Theory 090602 Control Systems, Robotics and Automation
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