Fault detection for linear discrete time-varying systems with measurement packet dropping

• Main Authors: Li, Yueyang., Liu, Shuai., Wang, Zhonghua.
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Engineering::Mathematics and analysis
• Online Access: https://hdl.handle.net/10356/101342; http://hdl.handle.net/10220/18660
• Institution: Nanyang Technological University

The fault detection (FD) problem for linear discrete time-varying (LDTV) systems with measurement packet dropouts is considered. The objective is to design a new observer-based fault detection filter (FDF) as a residual generator through employing packet dropout information on the measurement sequence. Based on some new defined input-to-output operators, the FD problem is formulated in a framework of maximizing stochastic H-/H∞ or H∞/H∞ performance index. By introducing an adjoint-operator-based optimization method, the analytical optimal solution can be derived in terms of solving a modified Riccati equation. A numerical example is provided to demonstrate the effectiveness of the proposed approach.