Frequency-based controller design for a class of nonlinear systems

Minesh A. Shah, Matthew Franchek

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


Presented in this paper is a frequency-based controller design methodology for a class of nonlinear systems that can be characterized by a class of Hammerstein models. The controller design is directed toward the disturbance rejection problem where the output performance specification appears as a time domain tolerance. The controller design process is executed in three stages. First, the system nonlinearities are quasilinearized via describing function techniques. Second, the design methodology enforces a time domain tolerance |y(t)| ≤ α via frequency domain constraints on the quasilinearized closed-loop system. Finally, the controller is designed via classical loop shaping of the quasilinearized system on the open-loop gain-phase plane. The design process is illustrated on the idle speed control of a Ford 4.6L-2 valve V-8 fuel injected engine.

Original languageEnglish (US)
Pages (from-to)825-840
Number of pages16
JournalInternational Journal of Robust and Nonlinear Control
Issue number12
StatePublished - Jan 1 1999

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


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