NDLI: Fault detection of switched systems with repeated scalar non-linearities

Content Provider	IET Digital Library
Author	Zheng, Zhong Wu, Ligang Xiong, Yongyang
Abstract	This study is concerned with the generalised ℋ2 fault detection problem for a class of discrete-time switched systems with repeated scalar non-linearities. To reduce the overdesign of the quadratic framework, this study proposes a switching-sequence-dependent Lyapunov function approach to the fault detection filter design procedure. Sufficient conditions are obtained for the existence of admissible generalised ℋ2 fault detection filter. Since these conditions involve matrix equalities, the cone complementarity linearisation procedure is employed to cast the non-convex feasibility problem into a sequential minimisation problem subject to linear matrix inequalities, which can be readily solved by using the standard numerical software. If these conditions are feasible, a desired fault detection filter can be easily constructed. Finally, a numerical example is given to illustrate the effectiveness of the proposed theory.
Starting Page	755
Ending Page	764
Page Count	10
ISSN	17518644
Volume Number	8
e-ISSN	17518652
Issue Number	Issue 9, Jun (2014)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/8/9
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2013.0463
Journal	IET Control Theory & Applications
Publisher Date	2014-05-08
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Cone Complementarity Linearisation Procedure Control System Analysis Control System Synthesis Discrete Control System Discrete Time System Discrete-time Switched System Fault Detection Filter Design Procedure Fault Diagnosis Generalised Â„‹2 Fault Detection Problem Linear Algebra Linear Matrix Inequalities Lyapunov Method Matrix Equalities Nonlinear Control System Numerical Analysis Repeated Scalar Nonlinearities Sequential Minimisation Problem Stability in Control Theory Switched System Fault Detection Switching-sequence-dependent Lyapunov Function Approach Synthesis Method Time Varying Control System Time Varying System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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