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A multirate approach to input or output augmentation for sampled-data static output feedback

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3 Author(s)
Galeani, S. ; Dip. di Informatica, Sistemi e Produzione, Universita di Roma Tor Vergata, Rome, Italy ; Menini, L. ; Tornambe, A.

As pointed out in [S. Galeani, et al., 2003], provided a simple matrix equation holds for a given plant-compensator pair in closed-loop, the closed-loop system behaves like a functional observer of a linear function of the state of the plant. As a consequence, if the plant output can be augmented by such a function, a static output feedback from the augmented output stabilizes the controlled system. Similarly, if a dual equation holds, a static output feedback stabilizes the controlled system with a suitably augmented input. In this paper the use of multirate samplers/holders to equivalently augment the outputs or inputs of the controlled plant is shown, thus making the technique suitable even if no additional sensors/actuators can be placed on the plant. The proposed multirate controllers are either static or asymptotically stable, and thus strongly stabilizing.

Published in:

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on  (Volume:6 )

Date of Conference:

9-12 Dec. 2003