Robust control with stable proportional-integral-plus controllers

G. P. Liu, G. R. Duan, R. Dixon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)


This paper considers robust control with a stable controller using proportional-integral-plus control techniques. A formulation of robust PIP controllers is proposed on the basis of parametric pole assignment. The robustness function in the frequency domain is minimised using the freedom provided by parametric pole assignment. It shows how to combine time-domain performance specifications provided by pole assignment and robust performance specifications in the frequency domain considered by H°° control to realise joint optimum robustness. This paper also builds upon the existing PIP design philosophy, introducing a design step which stabilises the PIP controller. This design strategy not only stabilises the controller, but also ensures that the equivalent closed-loop transfer function of the system remains identical to that of the original PIP closed-loop system.

Original languageEnglish
Title of host publication2001 European Control Conference, ECC 2001
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages6
ISBN (Electronic)9783952417362
Publication statusPublished - 1 Jan 2001
Event6th European Control Conference, ECC 2001 - Porto, Portugal
Duration: 4 Sept 20017 Sept 2001


Conference6th European Control Conference, ECC 2001


  • proportional-integral-plus control
  • robust control
  • Stabilisation

ASJC Scopus subject areas

  • Control and Systems Engineering


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