Robust Fault Detection for Discrete-Time Nonlinear Impulsive Switched Systems

2016 ◽  
Vol 19 (1) ◽  
pp. 224-232 ◽  
Author(s):  
Jian Li ◽  
Zhengfan Song ◽  
Qingyu Su
Keyword(s):  
Fault Detection ◽  
Discrete Time ◽  
Switched Systems ◽  
Robust Fault Detection ◽  
Impulsive Switched Systems

Design of Robust Fault Detection Observers for Discrete-time Linear Switched Systems

2011 ◽  
Vol 44 (1) ◽  
pp. 6622-6627 ◽  
Author(s):  
Djamel E.C. Belkhiat ◽  
Nadhir Messai ◽  
Noureddine Manamanni
Keyword(s):  
Fault Detection ◽  
Discrete Time ◽  
Switched Systems ◽  
Robust Fault Detection ◽  
Time Linear

scholarly journals Fault Detection for Discrete-Time Nonlinear Impulsive Switched Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-12
Author(s):  
Qingyu Su ◽  
Xiaolong Jia ◽  
Zhengfan Song
Keyword(s):  
Fault Detection ◽  
Discrete Time ◽  
Switched Systems ◽  
Optimization Problem ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Robust Performance ◽  
Detection Problem ◽  
Convex Optimization Problem ◽  
Impulsive Switched Systems

This paper investigates the fault detection problem for discrete-time nonlinear impulsive switched systems. Attention is focused on designing the fault detection filters to guarantee the robust performance and the detection performance. Based on these performances, sufficient conditions for the existence of filters are given in the framework of linear matrix inequality; furthermore, the filter gains are characterized by a convex optimization problem. The presented technique is validated by an example. Simulation results indicate that the proposed method can effectively detect the faults.

scholarly journals Optimal Robust Fault Detection for Linear Discrete Time Systems

2008 ◽  
Vol 2008 ◽  
pp. 1-16 ◽  
Author(s):  
Nike Liu ◽  
Kemin Zhou
Keyword(s):  
Fault Detection ◽  
Discrete Time ◽  
Filter Design ◽  
Algebraic Riccati Equation ◽  
Optimization Criteria ◽  
Robust Detection ◽  
Discrete Time Systems ◽  
Robust Fault Detection ◽  
Time Systems ◽  
Detection Filter

This paper considers robust fault-detection problems for linear discrete time systems. It is shown that the optimal robust detection filters for several well-recognized robust fault-detection problems, such asℋ−/ℋ∞,ℋ2/ℋ∞, andℋ∞/ℋ∞problems, are the same and can be obtained by solving a standard algebraic Riccati equation. Optimal filters are also derived for many other optimization criteria and it is shown that some well-studied and seeming-sensible optimization criteria for fault-detection filter design could lead to (optimal) but useless fault-detection filters.

scholarly journals Nonfragile observer-based guaranteed cost finite-time control of discrete-time positive impulsive switched systems

2019 ◽  
Vol 17 (1) ◽  
pp. 716-727
Author(s):  
Leipo Liu ◽  
Hao Xing ◽  
Xiangyang Cao ◽  
Xiushan Cai ◽  
Zhumu Fu
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Actual State ◽  
Time Control ◽  
Guaranteed Cost ◽  
Impulsive Switched Systems ◽  
Positive Observer

Abstract This paper considers the nonfragile observer-based guaranteed cost finite-time control of discrete-time positive impulsive switched systems(DPISS). Firstly, the positive observer and nonfragile positive observer are designed to estimate the actual state of the underlying systems, respectively. Secondly, by using the average dwell time(ADT) approach and multiple linear co-positive Lyapunov function (MLCLF), two guaranteed cost finite-time controller are designed and sufficient conditions are obtained to guarantee the corresponding closed-loop systems are guaranteed cost finite-time stability(GCFTS). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.

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