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Robust l2-l filtering for discrete-time delay systems

Journal Article


Abstract


  • The problem of robust l2-l∞ filtering for discrete-time system with interval time-varying delay and uncertainty is investigated, where the time delay and uncertainty considered are varying in a given interval and norm-bounded, respectively. The filtering problem based on the l2-l∞ performance is to design a filter such that the filtering error system is asymptotically stable with minimizing the peak value of the estimation error for all possible bounded energy disturbances. Firstly, sufficient l2-l∞ performance analysis condition is established in terms of linear matrix inequalities (LMIs) for discrete-time delay systems by utilizing reciprocally convex approach. Then a less conservative result is obtained by introducing some variables to decouple the Lyapunov matrices and the filtering error system matrices. Moreover, the robust l2-l∞ filter is designed for systems with time-varying delay and uncertainty. Finally, a numerical example is given to demonstrate the effectiveness of the filter design method. © 2013 Chengming Yang et al.

Publication Date


  • 2013

Citation


  • Yang, C., Yu, Z., Wang, P., Yu, Z., Karimi, H. R., & Feng, Z. (2013). Robust l2-l filtering for discrete-time delay systems. Mathematical Problems in Engineering, 2013. doi:10.1155/2013/408941

Scopus Eid


  • 2-s2.0-84893835136

Web Of Science Accession Number


Volume


  • 2013

Abstract


  • The problem of robust l2-l∞ filtering for discrete-time system with interval time-varying delay and uncertainty is investigated, where the time delay and uncertainty considered are varying in a given interval and norm-bounded, respectively. The filtering problem based on the l2-l∞ performance is to design a filter such that the filtering error system is asymptotically stable with minimizing the peak value of the estimation error for all possible bounded energy disturbances. Firstly, sufficient l2-l∞ performance analysis condition is established in terms of linear matrix inequalities (LMIs) for discrete-time delay systems by utilizing reciprocally convex approach. Then a less conservative result is obtained by introducing some variables to decouple the Lyapunov matrices and the filtering error system matrices. Moreover, the robust l2-l∞ filter is designed for systems with time-varying delay and uncertainty. Finally, a numerical example is given to demonstrate the effectiveness of the filter design method. © 2013 Chengming Yang et al.

Publication Date


  • 2013

Citation


  • Yang, C., Yu, Z., Wang, P., Yu, Z., Karimi, H. R., & Feng, Z. (2013). Robust l2-l filtering for discrete-time delay systems. Mathematical Problems in Engineering, 2013. doi:10.1155/2013/408941

Scopus Eid


  • 2-s2.0-84893835136

Web Of Science Accession Number


Volume


  • 2013