A new approach to robust H-infinity filtering for uncertain systems with both discrete and distributed delays

作者：Wu Ligang; Shi Peng^*; Gao Huijun; Wang Changhong

来源：Circuits, Systems, and Signal Processing, 2007, 26(2): 229-247.

DOI：10.1007/s00034-006-0226-z

• distributed delay
• H-infinity filtering
• robust filtering
• uncertain systems
• linear matrix inequalities (LMIs)

This paper is concerned with robust H infinity filter design for a class of linear distributed delay systems with norm-bounded time-varying parameter uncertainties. The distributed delays are assumed to appear in both state and measurement equations. A new design method is proposed by introducing some relaxation matrices and tuning parameters, which can be chosen properly to lead to a less conservative result. A sufficient condition is obtained to guarantee the existence of desired H infinity filters, which can be constructed by solving a convex optimization problem. A numerical example is included to illustrate the effectiveness and the reduced conservatism of the proposed design technique.

• 出版日期2007-4
• 单位哈尔滨工业大学