For a given linear time-invariant plant-compensator pair in a closed-loop, it is shown that, if a simple matrix equation holds, the closed-loop system behaves like a functional observer of a linear function of the state of the plant. If such a function can be used to augment the plant output, it is possible to use a static output feedback from the augmented output, thus obtaining as a closed-loop system the restriction of the original one to a suitable invariant subspace. A dual result holds too, ensuring stabilisation by static output feedback with an augmented input. If the plant output/input cannot be augmented, the use of multirate samplers/holders is proposed in order to equivalently augment the outputs or inputs of the controlled plant, 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 stabilise the plant.

Galeani, S., Menini, L., & Tornambe, A. (2004). Dynamic stabilising controllers for linear time-invariant systems and multirate control. IEE PROCEEDINGS. CONTROL THEORY AND APPLICATIONS, 151(6), 739-744 [10.1049/ip-cta:20040794].

Dynamic stabilising controllers for linear time-invariant systems and multirate control

GALEANI, SERGIO;MENINI, LAURA;TORNAMBE', ANTONIO
2004-11

Abstract

For a given linear time-invariant plant-compensator pair in a closed-loop, it is shown that, if a simple matrix equation holds, the closed-loop system behaves like a functional observer of a linear function of the state of the plant. If such a function can be used to augment the plant output, it is possible to use a static output feedback from the augmented output, thus obtaining as a closed-loop system the restriction of the original one to a suitable invariant subspace. A dual result holds too, ensuring stabilisation by static output feedback with an augmented input. If the plant output/input cannot be augmented, the use of multirate samplers/holders is proposed in order to equivalently augment the outputs or inputs of the controlled plant, 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 stabilise the plant.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore ING-INF/04 - Automatica
English
Con Impact Factor ISI
Actuators; Closed loop control systems; Control equipment; Feedback; Functions; Sensors; Stability; Dimensions; Linear dynamic controllers; Output controllers; Sampled data systems; Control systems
Galeani, S., Menini, L., & Tornambe, A. (2004). Dynamic stabilising controllers for linear time-invariant systems and multirate control. IEE PROCEEDINGS. CONTROL THEORY AND APPLICATIONS, 151(6), 739-744 [10.1049/ip-cta:20040794].
Galeani, S; Menini, L; Tornambe', A
Articolo su rivista
File in questo prodotto:
Non ci sono file associati a questo prodotto.

Questo articolo è pubblicato sotto una Licenza Licenza Creative Commons Creative Commons

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/34451
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact