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Robust fault detection with unknowninput interval observers using zonotopes
 IN PROCEEDINGS OF THE 17TH WORLD CONGRESS, THE INTERNATIONAL FEDERATION OF AUTOMATIC CONTROL, COEX, SEOUL, SOUTH KOREA
, 2008
"... This paper presents the problem of robust fault detection using unknowninput interval observers. These observers face the robustness problem using two complementary strategies. First, disturbances considered as unknown inputs are decoupled. Second, process/measurement noise and modeling uncertainty ..."
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Cited by 8 (6 self)
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This paper presents the problem of robust fault detection using unknowninput interval observers. These observers face the robustness problem using two complementary strategies. First, disturbances considered as unknown inputs are decoupled. Second, process/measurement noise and modeling uncertainty are considered unknown but bounded by intervals. Their effect is addressed using an interval state observation method based on zonotope representation of the set of possible states. Finally, an example based on a linearized model of a flight control system is proposed to show the effectiveness of the proposed approach.
Construction of Unknown Input Reduced Order Observer using Generalized Matrix Inverse and Application to Missile Autopilot
"... Abstract:In this paper a design procedure for construction of reduced order unknown input observer, for linear time invariant system subjected to unknown input is presented based on generalized matrix inverse. Das & Ghosal observer is extended and used for this purpose. A condition is proposed ..."
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Cited by 2 (2 self)
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Abstract:In this paper a design procedure for construction of reduced order unknown input observer, for linear time invariant system subjected to unknown input is presented based on generalized matrix inverse. Das & Ghosal observer is extended and used for this purpose. A condition is proposed and to be satisfied to develop such an observer. Finally an illustrative numerical example of a class of guided missile (twoloop) autopilot (in pitch plane) with simulation results is presented. Keywords:Linear time invariant system (LTI), Reduced Order Observer, Unknown Input Observer (UIO),
State Smoothing by SumofNorms Regularization
"... AbstractThe presence of abrupt changes, such as impulsive disturbances and load disturbances, make state estimation considerably more difficult than the standard setting with Gaussian process noise. Nevertheless, this type of disturbances is commonly occurring in applications which makes it an imp ..."
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AbstractThe presence of abrupt changes, such as impulsive disturbances and load disturbances, make state estimation considerably more difficult than the standard setting with Gaussian process noise. Nevertheless, this type of disturbances is commonly occurring in applications which makes it an important problem. An abrupt change often introduces a jump in the state and the problem is therefore readily treated by change detection techniques. In this paper, we take a rather different approach. The state smoothing problem for linear state space models is here formulated as a leastsquares problem with sumofnorms regularization, a generalization of the 1regularization. A nice property of the suggested formulation is that it only has one tuning parameter, the regularization constant which is used to trade off fit and the number of jumps.
FAULT–TOLERANT CONTROL STRATEGY FOR ACTUATOR FAULTS USING LPV TECHNIQUES: APPLICATION TO A TWO DEGREE OF FREEDOM HELICOPTER
"... In this paper, a Fault Tolerant Control (FTC) strategy for Linear Parameter Varying (LPV) systems that can be used in the case of actuator faults is proposed. The idea of this FTC method is to adapt the faulty plant instead of adapting the controller to the faulty plant. This approach can be seen as ..."
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In this paper, a Fault Tolerant Control (FTC) strategy for Linear Parameter Varying (LPV) systems that can be used in the case of actuator faults is proposed. The idea of this FTC method is to adapt the faulty plant instead of adapting the controller to the faulty plant. This approach can be seen as a kind of virtual actuator. An integrated FTC design procedure for the fault identification and faulttolerant control schemes using LPV techniques is provided as well. Fault identification is based on the use of an Unknown Input Observer (UIO). The FTC controller is implemented as a state feedback controller and designed using polytopic LPV techniques and Linear Matrix Inequality (LMI) regions in such a way as to guarantee the closedloop behavior in terms of several LMI constraints. To assess the performance of the proposed approach, a two degree of freedom helicopter is used.
www.jatit.org UNKNOWN INPUT SLIDINGMODE OBSERVER DESIGN
"... In this paper we propose a gain matrix selection procedure for a class of full order unknown input observers (UIO). These kinds of observers employ slidingmode principles to force the observation error into the sliding surface. Then, the error starts a sliding motion along the surface until it asym ..."
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In this paper we propose a gain matrix selection procedure for a class of full order unknown input observers (UIO). These kinds of observers employ slidingmode principles to force the observation error into the sliding surface. Then, the error starts a sliding motion along the surface until it asymptotically converges to zero. Although this method exhibits good performance, there is not any explicit and direct method to compute the observer gains. In our approach, we consider the problem of finding the observer gains in the terms of linear matrix inequalities (LMIs). The simulation results for an industrial drum type boiler demonstrate the effectiveness of the proposed approach.
RESEARCH ARTICLE OPEN ACCESS Unknown Input Full Order Observer Construction Using Generalized Matrix Inverse
"... In this paper a design methodology is proposed to provide a constructive solution to the problem of designing a full order observer for linear time invariant systems subjected to unknown disturbances. Necessary conditions for existence of unknown input observers are stated and solved using generaliz ..."
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In this paper a design methodology is proposed to provide a constructive solution to the problem of designing a full order observer for linear time invariant systems subjected to unknown disturbances. Necessary conditions for existence of unknown input observers are stated and solved using generalized matrix inverse. The effect of unknown disturbance present in the system is eliminated from the observer by proper selection of gain parameter. Simulation is carried out and results are discussed to illustrate the proposed procedure.
FAULT–TOLERANT CONTROL STRATEGY FOR ACTUATOR FAULTS USING LPV TECHNIQUES: APPLICATION TO A TWO DEGREE OF FREEDOM HELICOPTER
"... In this paper, a Fault Tolerant Control (FTC) strategy for Linear Parameter Varying (LPV) systems that can be used in the case of actuator faults is proposed. The idea of this FTC method is to adapt the faulty plant instead of adapting the controller to the faulty plant. This approach can be seen as ..."
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In this paper, a Fault Tolerant Control (FTC) strategy for Linear Parameter Varying (LPV) systems that can be used in the case of actuator faults is proposed. The idea of this FTC method is to adapt the faulty plant instead of adapting the controller to the faulty plant. This approach can be seen as a kind of virtual actuator. An integrated FTC design procedure for the fault identification and faulttolerant control schemes using LPV techniques is provided as well. Fault identification is based on the use of an Unknown Input Observer (UIO). The FTC controller is implemented as a state feedback controller and designed using polytopic LPV techniques and Linear Matrix Inequality (LMI) regions in such a way as to guarantee the closedloop behavior in terms of several LMI constraints. To assess the performance of the proposed approach, a two degree of freedom helicopter is used.
Dedicated to my family.
"... Recently, signal processing and control problems on complex and interconnected dynamic systems have attracted intensive attention due to its interesting behaviors and advantages coming from distributed interactions among the individual subsystems, robustness, flexibility, and extendability. Howeve ..."
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Recently, signal processing and control problems on complex and interconnected dynamic systems have attracted intensive attention due to its interesting behaviors and advantages coming from distributed interactions among the individual subsystems, robustness, flexibility, and extendability. However, since the research on such complex and interconnected dynamic systems is still not enough, advanced control techniques are not fully applied for the field of complex dynamic systems. In this dissertation, the estimation and synchronization problems for the complex and interconnected dynamic are studied. The complex dynamic systems studied in this dissertation are categorized as integerorder systems, fractionalorder systems, and continuousdiscrete systems; and their subsystems are assumed to be interconnected. The ultimate objective of this dissertation is to propose state estimationbased synchronization technique of complex dynamic systems, and the estimation and synchronization problems are stated and solved using H ∞ or slidingmode technique in each chapter. The slidingmode and the H ∞ approaches have the following advantages: i) the H ∞ approach emphasizes the academic as