A Simplified Approach to Analyze Complementary Sensitivity Tradeoffs in Continuous-Time and Discrete-Time Systems

Neng Wan, Dapeng Li, Naira Hovakimyan

Research output: Contribution to journalArticle

Abstract

Continuous-time and discrete-time complementary sensitivity Bode integrals (CSBIs) are investigated via a simplified approach in this note. For continuous-time feedback systems with unbounded frequency domain, the CSBI weighted by 1ω2 is considered, where this simplified method reveals a more explicit relationship between the value of CSBI and the structure of the open-loop transfer function. With a minor modification of this method, the CSBI of discrete-time system is derived, and illustrative examples are provided. Compared with the existing results on CSBI, neither the Cauchy integral theorem nor the Poisson integral formula is used throughout the analysis, and the analytic constraint on the integrand is removed.

Original languageEnglish (US)
Article number8793137
Pages (from-to)1697-1703
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume65
Issue number4
DOIs
StatePublished - Apr 2020

Keywords

  • Complementary sensitivity Bode integral (CSBI)
  • control tradeoffs
  • linear systems
  • simplified approach

ASJC Scopus subject areas

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

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