Robust H∞ filtering for a class of multiple time delays discrete-time systems with nonlinear inequalities constraints

  • Authors:

  • Ye Xiaoliang;Wang Wu;Cui Fujun;Yang Fuwen

  • Affiliations:

  • College of Electrical Engineering and Automation, Fuzhou University, Fuzhou, Fujian, China;College of Electrical Engineering and Automation, Fuzhou University, Fuzhou, Fujian, China and Fujian Key Laboratory of Medical Instrumentation and Pharmaceutical Technology, Fuzhou, China;School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China;School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China

  • Venue:
  • CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
  • Year:
  • 2009

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Abstract

A delay-independent approach to robust H∞ filtering is proposed for discrete-time system with multiple delays in the state and nonlinear inequality constraints. The uncertain parameters to supposed to reside in polytope and a method for designing the robust H∞ filters for the filtering error system With sector nonlinearities is derived. The designed filters can guarantee robustly asymptotically stable and a prescribed. H∞ noise attenuation level for the filtering error system. A unified framework of filter can be obtained from the solution of convex optimization problem via linear matrix inequality (LMI), which can be solved via efficient interior-point algorithm. Finally, an example is given to illustrate the effectiveness of the proposed methods.