Abstract
Tracking and regulation refer 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.
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Bibliography
Classical references on the tracking and regulationproblem for linear systems are given below.
Gruyitch, LT (2013) Tracking control of linear systems. CRC, Boca Raton
Wonham, WM (1985) Linear multivariable control: a geometric approach, 3rd edn. Springer, New York
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© 2015 Springer-Verlag London
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Astolfi, A. (2015). Tracking and Regulation in Linear Systems. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5058-9_198
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DOI: https://doi.org/10.1007/978-1-4471-5058-9_198
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Publisher Name: Springer, London
Print ISBN: 978-1-4471-5057-2
Online ISBN: 978-1-4471-5058-9
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