Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Zeros and Step Response Characteristics in LTI SISO Systems with Complex Poles

복소극점을 갖는 선형시불변 단일입출력 시스템의 영점과 계단응답 특성

  • 이상용 (인하대학교 전기공학과)
  • Received : 2009.10.26
  • Accepted : 2009.01.19
  • Published : 2010.04.01
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Abstract

This paper deals with the relationship between zeros and step response of the second and third order LTI (Linear Time Invariant) SISO (Single-Input and Single-Output) systems with complex poles. Although it has been known that the maximum number of local extrema is less than the number of zeros in the system with only real poles[8], some cases with complex poles are shown in this paper to have many local extrema. This paper proposes monotone nondecreasing conditions and describes the relationship between the transient response and the number of local extrema in step response with each region of zeros.

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References

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