This paper deals with the problem of full-order observers design for linear continuous delayed state and inputs systems with unknown input (UI) and time-varying delays. A method to design an Unknown Input Observer (UIO) for such systems is proposed based on a delay-dependent stability conditions of the state estimation error system. A Fault Detection and Isolation (FDI) scheme using a bank of such UIO, is also presented and tested on a (FDI) problem related to irrigation canals.
In this paper, we present two methods for determining the position of a leak in an open water channel. The available measurements are the water level and the gate position at the upstream and downstream end of a channel reach. We assume that the size of the leak and the time it started are already estimated by a leak-detection method. Both of the proposed methods make use of a nonlinear Saint-Venant equation model of the channel where the leak is modelled as a lateral outflow. The first method makes use of a bank of N models corresponding to N possible positions of the leak along the channel. The estimated position of the leak is determined by the model which minimizes a quadratic cost function. The second method is based on the same principle except that it uses observers instead of pure models. The methods are tested on both real and simulated data from the Coleambally Channel 6 in Australia. It is further shown that the determination of the position of a leak is an inherently difficult problem.
This paper deals with the problem of fault detection and isolation in irrigation canals. We develop a method which combines static and dynamic data reconciliation for the validation of measurements, detection and isolation of sensors and actuator faults and reconstruction of missing data. Static data reconciliation uses static models at a regulation gate to validate measurements and detect sensor and actuator faults. It also enabled us to detect a drift in the stage discharge rating curve. The dynamic data reconciliation uses additional measurements and a dynamic model of the canal in order to validate measurements and detect faults and withdrawals. The combination of the two methods allowed us to distinguish between withdrawals and faults. Both methods are evaluated on measurements from a real irrigation canal located in the South of France.
This paper deals with the problem of fault detection and isolation for time-varying delayed systems. It consists to develop a H∞ observer that generates residuals sensitive to some faults and insensitive to others in order to detect and isolate actuator faults which can occur on the regulation gates of an irrigation canal. The observer design uses a simplified approximate model of the Saint-Venant equations and is formulated with delay-dependent Linear Matrix Inequality (LMI). Simulations done with a realistic model of a real canal show the effectiveness of the method.
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