Generalized zero sets location and absolute robust stabilization of continuous nonlinear control systems

Gila Fruchter

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We describe an analytic method for finding the location of the generalized zero set of a vector-valued function which depends on m real variables and (n + k) complex parameters. The method is applied to a robust design problem of a nonlinear Lurie type continuous-time system, with the linear part under uncertainty conditions. We find the complete feasible set of sectors of the nonlinearities which allows robust absolute stability of the system, according to the Popov criterion. Illustrative numerical examples are provided.

Original languageEnglish
Pages (from-to)501-512
Number of pages12
JournalAutomatica
Volume27
Issue number3
DOIs
StatePublished - May 1991
Externally publishedYes

Keywords

  • Control system design
  • nonlinear control systems
  • robust control
  • stability
  • zeros

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