Demystifying Enigmatic Undershoot in Setpoint Command Following [Focus on Education]

Mohammadreza Kamaldar, Syed Aseem Ul Islam, Jesse B. Hoagg, Dennis S. Bernstein

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

One of the most striking phenomena in systems and control theory is initial undershoot, where the initial direction of the response of a system to a step input or setpoint command is opposite to the direction of the asymptotic response. As mentioned in 'Summary,' initial undershoot represents a fundamental limitation on the performance of a control system, and it has potentially serious consequences, especially when the initially 'wrong' direction violates constraints on the output of the system. For example, in motion control applications, such as robotics or autonomous vehicles, initial undershoot may result in a collision. In any event, initial undershoot is an intriguing, visual example of a system-theoretic phenomenon that occurs in electrical, mechanical, and cyberphysical systems, and it is one of the many deleterious effects of nonminimum-phase zeros on the achievable performance of feedback control systems [1]-[3].

Original languageEnglish
Pages (from-to)103-125
Number of pages23
JournalIEEE Control Systems
Volume42
Issue number1
DOIs
StatePublished - Feb 1 2022

Bibliographical note

Publisher Copyright:
© 1991-2012 IEEE.

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Electrical and Electronic Engineering

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