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Finite Frequency Filtering for Time-Delayed Singularly Perturbed Systems

Author

Listed:
  • Ping Mei
  • Jingzhi Fu
  • Yunping Liu

Abstract

This paper investigates the problem of finite frequency (FF) filtering for time-delayed singularly perturbed systems. Our attention is focused on designing filters guaranteeing asymptotic stability and FF disturbance attenuation level of the filtering error system. By the generalized Kalman-Yakubovich-Popov (KYP) lemma, the existence conditions of FF filters are obtained in terms of solving an optimization problem, which is delay-independent. The main contribution of this paper is that systematic methods are proposed for designing filters for delayed singularly perturbed systems.

Suggested Citation

  • Ping Mei & Jingzhi Fu & Yunping Liu, 2015. "Finite Frequency Filtering for Time-Delayed Singularly Perturbed Systems," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, March.
  • Handle: RePEc:hin:jnlmpe:456768
    DOI: 10.1155/2015/456768
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