As pointed out in [7], provided a simple matrix equation holds for a given plant-compensator pair in closedloop, 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.

Galeani, S., Menini, L., Tornambe', A. (2003). A multirate approach to input or output augmentation for sampled-data static output feedback. In 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS [10.1109/CDC.2003.1271969].

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

GALEANI, SERGIO;MENINI, LAURA;TORNAMBE', ANTONIO
2003-01-01

Abstract

As pointed out in [7], provided a simple matrix equation holds for a given plant-compensator pair in closedloop, 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.
42nd IEEE Conference on Decision and Control
Maui, HI
DEC 09-12, 2003
Honeywell laboratories;XEROX;National Instruments;the Mathworks
Rilevanza internazionale
2003
Settore ING-INF/04 - AUTOMATICA
English
Actuators; Asymptotic stability; Closed loop control systems; Discrete time control systems; Linear control systems; Matrix algebra; Riccati equations; Sensors; System stability; Multi-rate input controllers (MRIC); Multi-rate output controllers (MROC); Feedback control
Intervento a convegno
Galeani, S., Menini, L., Tornambe', A. (2003). A multirate approach to input or output augmentation for sampled-data static output feedback. In 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS [10.1109/CDC.2003.1271969].
Galeani, S; Menini, L; Tornambe', A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/50232
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