Multivariable anti-windup controller synthesis using bilinear matrix inequalities

Eric F. Mulder, Mayuresh V. Kothare, Manfred Morari

Research output: Contribution to journalArticlepeer-review


We consider the problem of multivariable anti-windup bumpless transfer (AWBT) controller synthesis based on the general AWBT framework presented in (M.V. Kothare et al., Automatica 1994; 30(12): 1869-1883). We review several recent AWBT synthesis techniques. Next, we give a completely general formulation of the A WBT controller synthesis problem and show how this problem can be solved in terms of bilinear matrix inequalities (BMIs). For two simple examples, we demonstrate that an induced L2 norm objective function is a sufficient performance indicator. Moreover, the objective minimum leads to multiple solutions for the static output feedback AWBT parameters, all of which provide equivalent output responses and graceful performance degradation under saturation. We also demonstrate the superior performance of the two parameter framework over an otherwise equivalent one parameter framework.

Original languageEnglish (US)
Pages (from-to)455-464
Number of pages10
JournalEuropean Journal of Control
Issue number5 SPEC. ISS.
StatePublished - 2000
Externally publishedYes


  • Absolute stability
  • Anti-windup
  • Bilinear matrix inequality
  • Bumpless transfer
  • Constrained system
  • Control input nonlinearity
  • Linear matrix inequality
  • Multiplier theory
  • Nonlinear system
  • Passivity theorem
  • Stability analysis

ASJC Scopus subject areas

  • Engineering(all)


Dive into the research topics of 'Multivariable anti-windup controller synthesis using bilinear matrix inequalities'. Together they form a unique fingerprint.

Cite this