Nonlinear generalized minimum variance control under actuator saturation

Michael J. Grimble, Pawel Majecki

Research output: Chapter in Book/Report/Conference proceedingChapter

8 Citations (Scopus)

Abstract

A new Generalized Minimum Variance control law has been derived recently for the controlof nonlinear multivariable systems. In this paper we restrict our interest tosingle-input, single-output plants with input nonlinearities in the form of hard actuatorlimits. Since in real systems saturation always exists in some form, e.g. as a result ofvalve opening limits or finite power supply, this is a natural case to consider. One ofthe well-known problems associated with input saturation is the integral windupphenomenon, which occurs whenever the controller includes integral action. In this paper,we show that the classical form of the 'anti-windup' mechanism can be obtained withinthe Nonlinear GMV controller framework by a suitable selection of the design parameters.The advantage of the approach is that the anti-windup mechanism is obtained naturallyfrom the optimization problem. There is also the possibility that the technique can beextended for other specialized nonlinear compensation problems.
LanguageEnglish
Title of host publicationProceedings of the 16th IFAC World Congress Conference
Pages993-998
Number of pages6
Volume38
Publication statusPublished - 2005

Publication series

NameIFAC Proceedings
PublisherIFAC
No.1
Volume38

Fingerprint

Actuators
Controllers
Multivariable systems
Compensation and Redress

Keywords

  • stochastic control
  • actuator
  • control systems
  • nonlinear control

Cite this

Grimble, M. J., & Majecki, P. (2005). Nonlinear generalized minimum variance control under actuator saturation. In Proceedings of the 16th IFAC World Congress Conference (Vol. 38, pp. 993-998). (IFAC Proceedings; Vol. 38, No. 1).
Grimble, Michael J. ; Majecki, Pawel . / Nonlinear generalized minimum variance control under actuator saturation. Proceedings of the 16th IFAC World Congress Conference. Vol. 38 2005. pp. 993-998 (IFAC Proceedings; 1).
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Grimble, MJ & Majecki, P 2005, Nonlinear generalized minimum variance control under actuator saturation. in Proceedings of the 16th IFAC World Congress Conference. vol. 38, IFAC Proceedings, no. 1, vol. 38, pp. 993-998.

Nonlinear generalized minimum variance control under actuator saturation. / Grimble, Michael J.; Majecki, Pawel .

Proceedings of the 16th IFAC World Congress Conference. Vol. 38 2005. p. 993-998 (IFAC Proceedings; Vol. 38, No. 1).

Research output: Chapter in Book/Report/Conference proceedingChapter

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AB - A new Generalized Minimum Variance control law has been derived recently for the controlof nonlinear multivariable systems. In this paper we restrict our interest tosingle-input, single-output plants with input nonlinearities in the form of hard actuatorlimits. Since in real systems saturation always exists in some form, e.g. as a result ofvalve opening limits or finite power supply, this is a natural case to consider. One ofthe well-known problems associated with input saturation is the integral windupphenomenon, which occurs whenever the controller includes integral action. In this paper,we show that the classical form of the 'anti-windup' mechanism can be obtained withinthe Nonlinear GMV controller framework by a suitable selection of the design parameters.The advantage of the approach is that the anti-windup mechanism is obtained naturallyfrom the optimization problem. There is also the possibility that the technique can beextended for other specialized nonlinear compensation problems.

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Grimble MJ, Majecki P. Nonlinear generalized minimum variance control under actuator saturation. In Proceedings of the 16th IFAC World Congress Conference. Vol. 38. 2005. p. 993-998. (IFAC Proceedings; 1).