Guaranteed Performance State-Feedback Gain-Scheduling Control with Uncertain Scheduling Parameters

Ali Khudhair Al-Jiboory, Guoming G. Zhu, Jongeun Choi

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)


State-feedback gain-scheduling controller synthesis with guaranteed performance is considered in this brief. Practical assumption has been considered in the sense that scheduling parameters are assumed to be uncertain. The contribution of this paper is the characterization of the control synthesis that parameterized linear matrix inequalities (PLMIs) to synthesize robust gain-scheduling controllers. Additive uncertainty model has been used to model measurement noise of the scheduling parameters. The resulting controllers not only ensure robustness against scheduling parameters uncertainties but also guarantee closed-loop performance in terms of H2 and H performances as well. Numerical examples and simulations are presented to illustrate the effectiveness of the synthesized controller. Compared to other control design methods from literature, the synthesized controllers achieve less conservative results as measurement noise increases.

Original languageEnglish
Article number014502
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Issue number1
Publication statusPublished - 2016 Jan 1

Bibliographical note

Publisher Copyright:
© 2016 by ASME.

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Information Systems
  • Instrumentation
  • Mechanical Engineering
  • Computer Science Applications


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