Mixed H-2/H-infinity approach to fault detection of discrete linear repetitive processes

作者：Wu, Ligang^*; Su, Xiaojie; Shi, Peng

来源：Journal of the Franklin Institute, 2011, 348(2): 393-414.

DOI：10.1016/j.jfranklin.2010.12.005

• ERROR VARIANCE CONSTRAINTS
• H-INFINITY
• LMI APPROACH
• DETECTION FILTER
• NONLINEAR-SYSTEMS
• UNCERTAIN SYSTEMS
• STATE DELAYS
• DESIGN
• DIAGNOSIS

Linear repetitive processes (LRPs) are a distinct class of two-dimensional (2-D) systems, which have extensive applications in the practical industry, such as, long-wall coal cutting and metal rolling operations. This paper is concerned with the problem of mixed H-2/H-infinity filter design for discrete LRPs with its application to fault detection. Our attention is focused on the design of a fault-detection filter for generating a residual signal which can be processed to decide whether or not a fault has occurred in the process. A sufficient condition of the mixed H-2/H-infinity, performance for the fault-detection process is proposed. The solvability condition for a desired fault-detection filter is also established, and the corresponding fault-detection filter design is cast into a convex optimization problem which can be efficiently handled by using the standard softwares. A numerical example is given to demonstrate the effectiveness of the proposed design procedures.

• 出版日期2011-3
• 单位哈尔滨工业大学