Bode-like fundamental performance limitations in control of nonlinear systems

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is concerned with entropy based fundamental limitation results for the nonlinear disturbance rejection problem. We propose a hidden Markov model (HMM) framework for entropy calculations. We obtain explicit entropy bounds for both the classical Bode problem (with linear dynamics) as well as certain cases of nonlinear dynamics. An important message of this paper is that the limitations arise due to fundamental issues pertaining to estimation as opposed to the stabilization control problem.

Original languageEnglish (US)
Article number5406123
Pages (from-to)1390-1405
Number of pages16
JournalIEEE Transactions on Automatic Control
Volume55
Issue number6
DOIs
StatePublished - Jun 2010

Keywords

  • Bode formula
  • Nonlinear systems

ASJC Scopus subject areas

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

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