Leakage location in pipelines by minimal order nonlinear observer

2001 ◽  
Author(s):  
C. Verde
Keyword(s):  
Nonlinear Observer ◽  
Minimal Order ◽  
Leakage Location

Minimal Order Nonlinear Observer for Leak Detection

2004 ◽  
Vol 126 (3) ◽  
pp. 467-472 ◽  
Author(s):  
C. Verde
Keyword(s):  
Fluid Model ◽  
Practical Method ◽  
Nonlinear Observer ◽  
Minimal Order ◽  
Nonlinear Observers ◽  
Proposed Model ◽  
Robust Filters ◽  
Output Component ◽  
Nonlinear Fluid ◽  
Nonlinear Robust

A method for leaks location in a pipeline, using sensors only at the extremes of the line is presented. The detection problem is solved, assuming a nonlinear fluid model of finite dimension with uncertainty in the leak position, and generating the residual with two minimal order nonlinear observers. Flow and pressure data at the beginning and at end of the line are considered as output and input of the system respectively. Since the proposed model satisfies (1) the condition to generate a residual, assuming at the most two leaks, and (2) the strong detectability fault property for each output component, two nonlinear robust filters with respect to a leak are designed to generate the residual. To simplify the residual evaluation and estimate the leak position, a static relationship between each component of the residual and the position error is derived. The main contribution of this paper is to take advantage of the residual equation with uncertainty to isolate a fault. The effectiveness of this approach is shown by a comparison with the practical method reported in [1] using results obtained from simulated and experimental data of a water pilot pipeline of 132 m long, with a diameter of 0.1 m and with a flow rate of 12 l/s.

A nonlinear fractional-order H∞ observer for SOC estimation of battery pack of electric vehicles

2021 ◽  
pp. 095440702199434
Author(s):  
Wei Yue ◽  
Cong-zhi Liu ◽  
Liang Li ◽  
Xiang Chen ◽  
Fahad Muhammad
Keyword(s):  
Fractional Order ◽  
Estimation Method ◽  
Equivalent Circuit Model ◽  
Lithium Ion ◽  
Open Circuit ◽  
Design Criterion ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Battery Pack ◽  
Soc Estimation

This work is focused on designing a fractional-order [Formula: see text] observer and applying it into the state of charge (SOC) estimation for lithium-ion battery pack system. Firstly, a fractional order equivalent circuit model based on the fractional capacitor is established and identified. Secondly, the SOC estimation method based on the fractional-order [Formula: see text] observer is proposed. The nonlinear intrinsic relationship between the open-circuit voltage and SOC is described as a polynomial function, and its Lipschitz proposition has been discussed. Then, the nonlinear observer design criterion is established based on the Lyapunov method. Finally, the effectiveness of the proposed method is verified with high accuracy and robustness by the experiment results.

scholarly journals A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor Systems

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 22455-22469
Author(s):  
Joseph Chang Lun Chan ◽  
Tae H. Lee ◽  
Chee Pin Tan ◽  
Hieu Trinh ◽  
Ju H. Park
Keyword(s):  
Nonlinear Observer ◽  
Descriptor Systems ◽  
Fault Reconstruction
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