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Infinite gain margin, contraction and optimality: An LMI-based design

European Journal of Control, ISSN: 0947-3580, Vol: 68, Page: 100685
2022
  • 14
    Citations
  • 0
    Usage
  • 2
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    14
    • Citation Indexes
      14
  • Captures
    2

Article Description

In this paper we focus on nonlinear systems composed by a linear term plus a nonlinearity satisfying a monotonic or a sector bound condition. We present sufficient conditions based on LMIs for the design of a feedback control law possessing an infinite gain margin property that makes the closed-loop system to define a contraction. Then, we analyze the connection between infinite gain margin contractive feedbacks and optimization problems by showing how such an infinite gain control design minimizes a given cost function. A practical case of study is given to illustrate our results.

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