Frequency domain performance analysis of marginally stable LTI systems with saturation

R.A. Berg, van den, A.Y. Pogromski, J.E. Rooda

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Abstract

In this paper we discuss the frequency domain performance analysis of a marginally stable linear time-invariant (LTI) system with saturation in the feedback loop. We present two methods, both based on the notion of convergent systems, that allow to evaluate the performance of this type of systems in the frequency domain. The first method uses simulation to evaluate performance, the second method is based on describing functions. For both methods we find suffcient conditions under which a frequency domain analysis can be performed. Both methods are practically validated on an electromechanical setup and a simulation model of this setup.
Original languageEnglish
Title of host publicationDynamics and control of hybrid dynamical systems
EditorsG. Leonov, H. Nijmeijer, A. Pogromsky, A. Fradkov
Place of PublicationSingapore
PublisherWorld Scientific
Pages53-70
Number of pages246
ISBN (Print)978-981-4282-31-4
Publication statusPublished - 2009

Publication series

NameWorld scientific series on nonlinear science. Series B
Volume14

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Frequency domain analysis
Describing functions
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Berg, van den, R. A., Pogromski, A. Y., & Rooda, J. E. (2009). Frequency domain performance analysis of marginally stable LTI systems with saturation. In G. Leonov, H. Nijmeijer, A. Pogromsky, & A. Fradkov (Eds.), Dynamics and control of hybrid dynamical systems (pp. 53-70). (World scientific series on nonlinear science. Series B; Vol. 14). Singapore: World Scientific.
Berg, van den, R.A. ; Pogromski, A.Y. ; Rooda, J.E. / Frequency domain performance analysis of marginally stable LTI systems with saturation. Dynamics and control of hybrid dynamical systems. editor / G. Leonov ; H. Nijmeijer ; A. Pogromsky ; A. Fradkov. Singapore : World Scientific, 2009. pp. 53-70 (World scientific series on nonlinear science. Series B).
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abstract = "In this paper we discuss the frequency domain performance analysis of a marginally stable linear time-invariant (LTI) system with saturation in the feedback loop. We present two methods, both based on the notion of convergent systems, that allow to evaluate the performance of this type of systems in the frequency domain. The first method uses simulation to evaluate performance, the second method is based on describing functions. For both methods we find suffcient conditions under which a frequency domain analysis can be performed. Both methods are practically validated on an electromechanical setup and a simulation model of this setup.",
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Berg, van den, RA, Pogromski, AY & Rooda, JE 2009, Frequency domain performance analysis of marginally stable LTI systems with saturation. in G Leonov, H Nijmeijer, A Pogromsky & A Fradkov (eds), Dynamics and control of hybrid dynamical systems. World scientific series on nonlinear science. Series B, vol. 14, World Scientific, Singapore, pp. 53-70.

Frequency domain performance analysis of marginally stable LTI systems with saturation. / Berg, van den, R.A.; Pogromski, A.Y.; Rooda, J.E.

Dynamics and control of hybrid dynamical systems. ed. / G. Leonov; H. Nijmeijer; A. Pogromsky; A. Fradkov. Singapore : World Scientific, 2009. p. 53-70 (World scientific series on nonlinear science. Series B; Vol. 14).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

TY - CHAP

T1 - Frequency domain performance analysis of marginally stable LTI systems with saturation

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AU - Rooda, J.E.

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AB - In this paper we discuss the frequency domain performance analysis of a marginally stable linear time-invariant (LTI) system with saturation in the feedback loop. We present two methods, both based on the notion of convergent systems, that allow to evaluate the performance of this type of systems in the frequency domain. The first method uses simulation to evaluate performance, the second method is based on describing functions. For both methods we find suffcient conditions under which a frequency domain analysis can be performed. Both methods are practically validated on an electromechanical setup and a simulation model of this setup.

M3 - Chapter

SN - 978-981-4282-31-4

T3 - World scientific series on nonlinear science. Series B

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BT - Dynamics and control of hybrid dynamical systems

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A2 - Nijmeijer, H.

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PB - World Scientific

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Berg, van den RA, Pogromski AY, Rooda JE. Frequency domain performance analysis of marginally stable LTI systems with saturation. In Leonov G, Nijmeijer H, Pogromsky A, Fradkov A, editors, Dynamics and control of hybrid dynamical systems. Singapore: World Scientific. 2009. p. 53-70. (World scientific series on nonlinear science. Series B).