Delay-independent stability analysis of linear time-delay systems based on frequency discretization

• Xianwei Li ^[1] ; Huijun Gao ^[1] ; Keqin Gu ^[2]
  1. [1] Harbin Institute of Technology

     Harbin Institute of Technology

     China

     
  2. [2] Southern Illinois University Edwardsville;USA
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 70, 2016, págs. 288-294
• Idioma: inglés
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• Resumen

  • This paper studies strong delay-independent stability of linear time-invariant systems. It is known that delay-independent stability of time-delay systems is equivalent to some frequency-dependent linear matrix inequalities. To reduce or eliminate conservatism of stability criteria, the frequency domain is discretized into several sub-intervals, and piecewise constant Lyapunov matrices are employed to analyze the frequency-dependent stability condition. Applying the generalized Kalman–Yakubovich–Popov lemma, new necessary and sufficient criteria are then obtained for strong delay-independent stability of systems with a single delay. The effectiveness of the proposed method is illustrated by a numerical example.