We revisit the forwarding approach for the feedback stabilization of discrete-time systems in feedforward form. We show that the resulting feedback design is parametrized by a change of coordinate which is defined via a Sylvester equation. Moreover, we investigate the optimality of such a feedback by explicitly computing a quadratic cost which is minimized by the closed loop trajectories. Finally, we apply the forwarding approach to solve the problem of global stabilization of feedforward form systems which are simply stable in the presence of input saturations and time-delays.
Dettaglio pubblicazione
2024, 4th IFAC Conference on Modelling, Identification and Control of Nonlinear Systems MICNON 2024: Lyon, France, September 4-6, 2024, Pages 108-113 (volume: 58)
Forwarding for discrete-time linear systems: Optimality and global stabilization under input saturation (04b Atto di convegno in volume)
Zoboli S., Astolfi D., Mattioni M., Simpson-Porco J. W., Van De Wouw N.
keywords