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Mixed l– /l1 Fault Detection Observer Design for Positive Switched Systems with Time-varying Delay via Delta Operator Approach

Shuo Li, Zhengrong Xiang*, and Hamid Reza Karimi
International Journal of Control, Automation, and Systems, vol. 12, no. 4, pp.709-721, 2014

Abstract : This paper investigates the problem of fault detection observer design for positive switched systems with time-varying delay via delta operator approach. A new fault sensitivity measure, called l– index, is proposed. The l– fault detection observer design and multi-objective l– /l1 fault detection observer design problems are addressed. Based on the average dwell time approach and the piecewise co-positive type Lyapunov-Krasovskii functional method in delta domain, sufficient conditions for the existence of such two kinds of fault detection observers are firstly given, and then the design methods are presented. Finally, two examples are provided to show the effectiveness and the applicability of the proposed methods.

Keyword : Average dwell time, delta operator, fault detection, fault sensitivity, positive switched systems.

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