Normalized coprime robust stability and performance guarantees for reduced-order controllers

Kevin K. Chen, Clarence Worth Rowley

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Constructing a reduced-order controller from a high-dimensional plant is commonly necessary. The 'reduce-then-design' approach constructs the controller from a reduced-order plant; 'design-then-reduce' reduces a full-order controller. In both cases, we present sufficient conditions for the full-order plant and reduced-order controller to achieve closed-loop stability or performance. These conditions, motivated primarily by the \nu-gap metric, reveal model reduction orders that guarantee stability or performance. The control of the linearized Ginzburg-Landau system provides validation.

Original languageEnglish (US)
Article number6298937
Pages (from-to)1068-1073
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number4
StatePublished - 2013

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


  • Linear time-invariant (LTI)
  • normalized coprime stability margin \nu-gap metric


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