Nonlinear robust control and minimax team problems

Pierre Bernhard, Naira Hovakimyan

Research output: Contribution to journalArticlepeer-review


The problem of robust stabilization of a linear system leads to the classical H control problem. The same analysis applied to a nonlinear system leads to the problem of ensuring via output feedback that a nonlinear operator be Lipshitz continuous, with a prescribed Lipshitz modulus. We show that, in the same way as the H control problem is equivalent to a minimax control problem, the Lipshitz modulus control problem can be approached via a minimax team decision problem. This motivates us to re-visit a class of the so-called `static' team decision problems for nonlinear dynamical control systems. Because of the `static' character, signaling plays no role in that case, which is important for the equivalence with the Lipshitz modulus control problem. We show that under some conditions, a certainty equivalence principle applies that yields a practical solution to the team problem at hand. To reach that conclusion we must first investigate a `partial team' problem where one of the team members has all the information.

Original languageEnglish (US)
Pages (from-to)239-257
Number of pages19
JournalInternational Journal of Robust and Nonlinear Control
Issue number4
StatePublished - 1999
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Chemical Engineering(all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


Dive into the research topics of 'Nonlinear robust control and minimax team problems'. Together they form a unique fingerprint.

Cite this