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Model-Based Fault Diagnosis And Fault-Tolerant Control For 2D Systems

Posted on:2017-04-16Degree:DoctorType:Dissertation
Country:ChinaCandidate:D ZhaoFull Text:PDF
GTID:1108330491961968Subject:Control Science and Engineering
Abstract/Summary:PDF Full Text Request
Associated with the continuous increasing of the system complexity and scale in practice and higher demands for product quality and energy consumption, the safety issue of the processes is becoming more and more important that it should be considered carefully. In this case, fault diagnosis and fault-tolerant control, which can respond to the safety threat brought by the system faults and guarantee the system performance well, are the promising techniques to deal with the safety problem followed by much attention from the academia and industry. Moreover, many powerful techniques and successful applications have been reported.2D systems are wildly existed in many engineering fields, e.g., batch processes and image processing, and 2D system theory can be utilized to solve many problems conveniently and effectively. However, due to the complexity and difficulties of 2D system, the fault diagnosis and fault-tolerant control research about 2D system are rare, leaving many open problems to be settled. Hence, we focus on the study about fault diagnosis and fault-tolerant control for 2D systems to move the fault threat and fulfil the application requirement for 2D systems. The main results are introduced as follows:Chapter 2, the problem of simultaneous estimation of system states and fault is addressed for 2D linear time-invariant system. Asymptotically stable and uniformly ultimately bounded integrated state/fault observers are proposed as solutions to the simultaneous estimation problem. Based on the stability theorem of 2D system and the rank theory of matrix, the necessary and sufficient condition for the existence and the constructive design methods are all given for the proposed observers.In Chapter 3, following the research in Chapter 2, we consider the sensor fault reconstruction and compensation for a class of 2D nonlinear systems with Lipschitz nonlinearity. Using the LMI technique, the existence condition and solution for the proposed globally asymptotically stable and H∞ observers are given. Based on the estimation of sensor faults, a sensor fault compensation scheme is further performed.In Chapter 4, an active sensor-fault-tolerant control problem for 2D systems with time-varying state delays and disturbance is studied. First, a new integrated fault diagnosis module that can maximize the fault detection rate under a given false alarm rate is designed in time domain in the norm framework. Using the fault information provided by the integrated fault diagnosis module, the controller reconfiguration can be done and the performance of the closed-loop system can be guaranteed.Chapter 5 addresses the finite horizon H∞ fault estimation problem for 2D linear time-varying systems with bounded unknown input and measurement noise. Using linear estimation and the Krein space theory tools, the necessary and sufficient existence condition and the explicit solution of the proposed estimator are derived.In Chapter 6, the fault and state estimation problem is first addressed for a class of linear time-varying 2D systems subject to white noises in both state and measurement equations. Two estimators are proposed for unbiased minimum variance state and/or fault estimation. By formulating the estimation problem into the solvability of matrix equations, the necessary and sufficient existence condition and the solution of the proposed estimator are given.
Keywords/Search Tags:two-dimensional systems, fault diagnosis, fault-tolerant control, observers, fault estimation
PDF Full Text Request
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