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 regulation problem 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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© 2014 Springer-Verlag London
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Astolfi, A. (2014). Tracking and Regulation in Linear Systems. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_198-1
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DOI: https://doi.org/10.1007/978-1-4471-5102-9_198-1
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Publisher Name: Springer, London
Online ISBN: 978-1-4471-5102-9
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Chapter history
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Latest
Tracking and Regulation in Linear Systems- Published:
- 06 November 2019
DOI: https://doi.org/10.1007/978-1-4471-5102-9_198-2
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Original
Tracking and Regulation in Linear Systems- Published:
- 18 March 2014
DOI: https://doi.org/10.1007/978-1-4471-5102-9_198-1