Input-to-state stable nonlinear filtering for a class of continuous-time delayed nonlinear systems

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This paper investigates the input-to-state stable (ISS) nonlinear filtering problem for a class of continuous-time delayed nonlinear systems with external disturbance. A new delay-dependent nonlinear ISS filter is established through available measurements to estimate the states of delayed nonlinear systems, such that the filtering error system is both exponentially and input-to-state stable for any bounded external disturbance. The design of the nonlinear ISS filter for these nonlinear systems is achieved by solving a linear matrix inequality (LMI), which can be easily facilitated by using standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed filter.

Original languageEnglish
Pages (from-to)1179-1185
Number of pages7
JournalInternational Journal of Control
Issue number6
Publication statusPublished - 2013 Jun 1



  • Lyapunov-Krasovskii stability theory
  • delayed nonlinear system
  • input-to-state stability (ISS)
  • linear matrix inequality (LMI)
  • robust filtering problem

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

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