Tracking and regulation refers to the ability of a control system to track/reject a given family of reference/disturbance signals modelled as solutions of a differential/difference equation. The problem can be posed as a stabilization problem with a constraint on the steady-state response of the system. For linear, time-invariant, systems the problem can be solved provided a system of linear matrix equations admits a solution. Properties of this system of equations are discussed, together with a general property of all controllers achieving tracking and regulation: the so-called internal model principle.
Astolfi, A. (2021). Tracking and Regulation in Linear Systems. In T.S. John Baillieul (a cura di), Encyclopedia of Systems and Control (pp. 2329-2335). Springer [10.1007/978-3-030-44184-5_198].
Tracking and Regulation in Linear Systems
Astolfi, Alessandro
2021-08-01
Abstract
Tracking and regulation refers to the ability of a control system to track/reject a given family of reference/disturbance signals modelled as solutions of a differential/difference equation. The problem can be posed as a stabilization problem with a constraint on the steady-state response of the system. For linear, time-invariant, systems the problem can be solved provided a system of linear matrix equations admits a solution. Properties of this system of equations are discussed, together with a general property of all controllers achieving tracking and regulation: the so-called internal model principle.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
