LPV decoupling for control of multivariable systems

Javad Mohammadpour, Karolos Grigoriadis, Matthew Franchek, Yue Yun Wang, Ibrahim Haskara

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


This article investigates methods for decoupling multivariable linear parameter varying (LPV) systems and proposes a new interaction measure for decoupled proportional-integral (PI) feedback control design in LPV systems. The proposed approach seeks to benefit the multivariable control of multi-input multi-output (MIMO) systems with variable operating conditions, variable parameters or nonlinear behaviour. This method can improve the tracking performance and reduce the operating conditions variability of such systems with significant coupling in the system dynamics. We design MIMO decoupling feedback LPV controllers to address loop interaction effects. The proposed method uses a parameter-dependent static inversion or SVD decomposition of the system to minimise the effects of the off-diagonal terms in the MIMO system transfer function matrix. A new parameter-dependent interaction measure is introduced based on the SVD decomposition and static inversion which is subsequently utilised for tuning multi-loop PI controller gains. Numerical examples are presented to illustrate the validity of the proposed LPV decoupling methods, as well as the use of the proposed interaction measures for a decoupled multi-loop PI control design.

Original languageEnglish (US)
Pages (from-to)1350-1361
Number of pages12
JournalInternational Journal of Control
Issue number8
StatePublished - Aug 2011


  • decoupling
  • linear parameter varying systems
  • multivariable systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications


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