Technical Communique: Bounds on the response time under control constraints

  • Authors:

  • S.Torkel Glad;Alf J. Isaksson

  • Affiliations:

  • Department of Electrical Engineering, Linköping University, SE-581 83 Linköping, Sweden;S3- Process Control, Royal Institute of Technology, SE-100 44 Stockholm, Sweden

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2001

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Abstract

We consider the problem of transferring the output of a linear system from one equilibrium value to another under control amplitude constraint. It is possible to give a simple lower bound on the time required, expressed in the longest time constant, the gain of the system, the change in y and the control bound. This theoretical bound appears to be useful as a practical lower bound of the rise time.