An LMI approach to minimum sensitivity analysis with application to fault detection

Automatica ◽  
2005 ◽  
Vol 41 (11) ◽  
pp. 1995-2004 ◽  
Author(s):  
Jian Liu ◽  
Jian Liang Wang ◽  
Guang-Hong Yang
Keyword(s):  
Sensitivity Analysis ◽  
Fault Detection ◽  
Lmi Approach ◽  
Minimum Sensitivity

A Kinematic Based Analysis for Tolerances Within Mechanical Assemblies

1994 ◽  
Author(s):  
M. M. Ogot ◽  
B. J. Gilmore
Keyword(s):  
Sensitivity Analysis ◽  
Design Tool ◽  
Tolerance Allocation ◽  
Analytical Sensitivity ◽  
Mechanical Assemblies ◽  
Analytical Sensitivity Analysis ◽  
Design Function ◽  
Minimum Sensitivity ◽  
The Individual ◽  
The Cost

Abstract Variation of dimensions within assemblies can unexpectedly displace parts from their intended location and therefore degrade the assembly’s performance. This paper presents a design tool based on the principles of kinematics to analyze nonlinear tolerance stackup, increase the reliability of the assembly without decreasing tolerances and where necessary, judiciously allocate tolerances such that the critical parts fit relative to each other with the specified precision. Through an analytical sensitivity analysis, the procedure outlined in this paper alters the orientations of the parts to yield an assembly with the highest positional reliability. If the desired level of reliability is not met by the minimum sensitivity approach, a tolerance allocation method incorporating the above sensitivity analysis and the cost of manufacturing each dimension as a function of tolerance is applied. In addition, this approach allows the individual tolerances within the assembly to assume any distribution. The method shown by this paper allows the design engineer to consider manufacturing effects and provides an analytical basis to evaluate design function.

scholarly journals Robust fault detection of singular LPV systems with multiple time–varying delays

2016 ◽  
Vol 26 (1) ◽  
pp. 45-61 ◽  
Author(s):  
Amir Hossein Hassanabadi ◽  
Masoud Shafiee ◽  
Vicenç Puig
Keyword(s):  
Fault Detection ◽  
Reference Model ◽  
Residual Error ◽  
Unknown Input ◽  
Multiple Time ◽  
Delayed Systems ◽  
Bounded Real Lemma ◽  
Fault Sensitivity ◽  
Robust Fault Detection ◽  
Minimum Sensitivity

Abstract In this paper, the robust fault detection problem for LPV singular delayed systems in the presence of disturbances and actuator faults is considered. For both disturbance decoupling and actuator fault detection, an unknown input observer (UIO) is proposed. The aim is to compute a residual signal which has minimum sensitivity to disturbances while having maximum sensitivity to faults. Robustness to unknown inputs is formulated in the sense of the ℋ∞-norm by means of the bounded real lemma (BRL) for LPV delayed systems. In order to formulate fault sensitivity conditions, a reference model which characterizes the ideal residual behavior in a faulty situation is considered. The residual error with respect to this reference model is computed. Then, the maximization of the residual fault effect is converted to minimization of its effect on the residual error and is addressed by using the BRL. The compromise between the unknown input effect and the fault effect on the residual is translated into a multi-objective optimization problem with some LMI constraints. In order to show the efficiency and applicability of the proposed method, a part of the Barcelona sewer system is considered.

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