An LMI approach to H boundary control of semilinear parabolic and hyperbolic systems

Emilia Fridman, Yury Orlov

Research output: Contribution to journalArticlepeer-review

Abstract

Exponential stability analysis and L2-gain analysis are developed for scalar uncertain distributed parameter systems, governed by semilinear partial differential equations of parabolic and hyperbolic types. Sufficient exponential stability conditions with a given decay rate are derived in the form of Linear Matrix Inequalities (LMIs) for both systems. These conditions are then utilized to synthesize H static output feedback boundary controllers of the systems in question.

Original languageEnglish
Pages (from-to)2060-2066
Number of pages7
JournalAutomatica
Volume45
Issue number9
DOIs
StatePublished - Sep 2009

Keywords

  • Distributed parameter systems
  • H control
  • LMI
  • Lyapunov functional
  • Stability

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