The problem of output tracking is addressed in this article by a reformulation in terms of a two-point boundary value problem for the plant's zero dynamics, which is allowed to be unstable. On this basis, a hybrid feedback regulator ensuring output tracking is then designed. The robustness properties of the proposed regulator as well as connections with periodic (cheap) optimal control, output regulation, and possible extensions to the nonlinear setting are also discussed.

Galeani, S., Possieri, C., Sassano, M. (2021). Asymptotic tracking for non-minimum phase linear systems via steady-state compensation. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 66(9), 4176-4183 [10.1109/TAC.2020.3036343].

Asymptotic tracking for non-minimum phase linear systems via steady-state compensation

Galeani S.;Possieri C.
;
Sassano M.
2021-01-01

Abstract

The problem of output tracking is addressed in this article by a reformulation in terms of a two-point boundary value problem for the plant's zero dynamics, which is allowed to be unstable. On this basis, a hybrid feedback regulator ensuring output tracking is then designed. The robustness properties of the proposed regulator as well as connections with periodic (cheap) optimal control, output regulation, and possible extensions to the nonlinear setting are also discussed.
2021
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ING-INF/04 - AUTOMATICA
Settore IINF-04/A - Automatica
English
Linear systems; Trajectory; Steady-state; Boundary value problems; Regulators; Regulation; Eigenvalues and eigenfunctions; Hybrid systems; Linear systems; Nonminimum phase; Output tracking; Periodic optimal control; Two-point boundary value problem (TPBVP)
This work was supported in part by the Italian Min- istry for Research in the framework of the 2017 Program for Research Projects of National Interest (PRIN), under Grant 2017YKXYXJ, and in part by the University of Rome “Tor Vergata” in the framework of the 2019 “Beyond the Borders” Program for Research Projects, under Grant E84I19002430005.
Galeani, S., Possieri, C., Sassano, M. (2021). Asymptotic tracking for non-minimum phase linear systems via steady-state compensation. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 66(9), 4176-4183 [10.1109/TAC.2020.3036343].
Galeani, S; Possieri, C; Sassano, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/291677
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