A small-gain control method for nonlinear cascaded systems with dynamic uncertainties

Zhong Ping Jiang, Iven M.Y. Mareels

Research output: Contribution to journalArticlepeer-review


Some robust control problems for a class of nonlinear cascaded systems in the presence of state and input driven unmeasured dynamics are analyzed. A stepwise constructive control methodology is proposed on the basis of the recently established nonlinear small-gain theorem [15]. The flexibility of the approach in tackling dynamic uncertainties is illustrated by demonstrating that several results for special classes of cascaded systems, considered previously in the literature, may be viewed as special instances of the present results.

Original languageEnglish (US)
Pages (from-to)292-308
Number of pages17
JournalIEEE Transactions on Automatic Control
Issue number3
StatePublished - 1997


  • Global asymptotic stability
  • Input-to-state stability
  • Nonlinear cascaded systems
  • Nonlinear gain
  • Robust control

ASJC Scopus subject areas

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


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