Feedback system design: the pole placement problem

Iyer, Ashok; Saeks, R.

doi:10.1080/00207178408933180

Cited by 4 publications

(1 citation statement)

References 19 publications

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“…In fact, many properties of a closed-loop system directly depend on the locations of its poles, especially the locations of the rightmost eigenvalues in the complex plane (Åström et al (2006)). Hence pole placement is one of the mainstream methods in control system design (Iyer et al (1984); Wang et al (1992); Leventides et al (1999); Michiels et al (2007); Franke (2014)). However, because a time delay system contains uncountable characteristic roots, pole placement is not feasible using traditional control methods (Yi et al (2013)).…”

Section: Introductionmentioning

confidence: 99%

Controller design for delay systems via eigenvalue assignment – on a new result in the distribution of quasi-polynomial roots

Wang

Liu

Yang

2015

International Journal of Control

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This paper considers the eigenvalue distribution of a linear time-invariant (LTI) system with time delays and its application to some controllers design for a delay plant via eigenvalue assignment. First, a new result on the root distribution for a class of quasi-polynomials is developed based on the extension of the Hermite-Biehler Theorem. Then such result is applied to proportional-integral (PI) controller parameter design for a first-order plant with time delay through pole placement. The complete region of PI gains can be obtained so that the rightmost eigenvalues in the infinite eigenspectrum of the closed-loop system with delay plant are assigned to desired positions in the complex plane. Further, on the basis of the previous result, this paper also extended the PI control to the proportional-integral-derivative (PID) control. It is worth pointing out that this work aims to improve the performance of the closed-loop system on the premise of guaranteeing the stability.

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