International Journal of Dynamics and Control

, Volume 5, Issue 4, pp 1156–1171 | Cite as

Creating two disjoint stability intervals along the delay axis via controller design: a class of LTI SISO systems

  • D. Tian
  • R. SipahiEmail author


Frequency domain technique is adapted here together with an optimization scheme to design controllers for a class of linear time-invariant single-input single-output systems (SISO) with a loop delay, such that the closed loop system can be made stable in two distinct pre-selected delay intervals \([0,h_{1})\) and \((h_{2},h_{3})\), where \(h_{1}<h_{2}<h_{3}\). This stability-certifying approach is demonstrated over case studies, including an experiment.


Time-delay systems Stability Control design Optimization 

Mathematics Subject Classification

34C25 34K20 65K10 93C23 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Mechanical and Industrial EngineeringNortheastern UniversityBostonUSA

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