H_∞ filtering for two-dimensional systems with mixed time delays, randomly occurring saturations and nonlinearities

Abstract

This paper is concerned with the filtering problem for the two-dimensional (2-D) systems with mixed time delays which comprise both the discrete time-varying delays and the discrete distributed delays in states. Randomly occurring nonlinearities (RONs) and randomly occurring saturations (ROSs) are also considered, respectively, in the state-space model and the measurement output equation to reflect the nonlinear disturbance appearing in a random way and the limited communication capabilities of the sensors. The aim of this paper is focused on the design of a full-order filter such that the performance is guaranteed in the simultaneous presence of the mixed tim delays, RONs and ROSs. By utilizing the Kronecker product and the inequality technique, an energy-like function is developed to establish some sufficient criteria under which the filtering error system satisfies the prescribed disturbance attenuation performance. Furthermore, explicit expression of the filter parameters is also characterized. Numerical example provided in the end of the paper further demonstrates the effectiveness of the proposed design scheme.

Keywords:

• filtering
• two-dimensional (2-D) systems
• time delays
• randomly occurring nonlinearities (RONs)
• sensor saturation

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China [grant number 61174136]; the Natural Science Foundation of Jiangsu Province of China [grant number BK20130017]; the 333 Project Foundation of Jiangsu Province and the Programme for New Century Excellent Talents in University [grant number NCET-12-0117]. This publication was also made possible by NPRP [grant number NPRP 4-1162-1-181] from the Qatar National Research Fund (a member of Qatar Foundation).