Sensor fault detection and isolation filter for polytopic LPV systems: A winding machine application

Rodrigues, Mickaël; Sahnoun, Mariem; Theilliol, Didier; Ponsart, Jean-Christophe

doi:10.1016/j.jprocont.2013.04.002

Cited by 71 publications

(61 citation statements)

References 32 publications

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“…active vision systems [316], airplanes [14,314], bioreactors [185], canals [82], CD players [75], container crane load swing [128], control moment gyroscopes [1], electromagnetic actuators [102], engines [51], flexible ball screw drives [121], fuel cells [32,69], glycemic regulation [60], induction motors [233], internet web servers [234], inverted pendula [239], ionic polymer-metal composites [181], magneto-rheological dampers [294], robots [122], unmanned aerial vehicles (UAVs) [184,211], vehicle suspensions [101,231,232], wafer scanners [114], wind turbines [293] and winding machines [241]. Recently, the LPV paradigm has also been applied to time delay systems with time varying delays [44][45][46].…”

Section: Gain-scheduling: Lpv Systems and Ts Systemsmentioning

confidence: 99%

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Rotondo¹

2018

Springer Theses

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This thesis presents some contributions to the state-of-the-art of the fields of gainscheduling and fault tolerant control (FTC).In the area of gain-scheduling, the connections between the linear parameter varying (LPV) and Takagi-Sugeno (TS) paradigms are analyzed, showing that the methods for the automated generation of models by nonlinear embedding and by sector nonlinearity, developed for one class of systems, can be easily extended to deal with the other class. Then, two measures, based on the notions of overboundedness and region of attraction estimates, are proposed in order to compare different models and choose which one can be considered the best one. Later, the problem of designing state-feedback controllers for LPV systems has been considered, providing two main contributions. First, robust LPV controllers that can guarantee some desired performances when applied to uncertain LPV systems are designed, by using a double-layer polytopic description that takes into account both the variability due to the varying parameter vector and the uncertainty. Then, the idea of designing the controller in such a way that the required performances are scheduled by the varying parameters is explored, which provides an elegant way to vary online the behavior of the closed-loop system. In both cases, the problem reduces to finding a solution to a finite number of linear matrix inequalities (LMIs), which can be done efficiently using the available solvers.In the area of fault tolerant control, the thesis first shows that the aforementioned double-layer polytopic framework can be used for FTC, in such a way that different strategies (passive, active and hybrid) are obtained depending on the amount of available information. Later, an FTC strategy for LPV systems that involves a reconfigured reference model and virtual actuators is developed. It is shown that by including the saturations in the reference model equations, it is possible to design a model reference FTC system that automatically retunes the reference states whenever the system is affected by saturation nonlinearities. In this way, a graceful performance degradation in presence of actuator saturations is incorporated in an elegant way. Finally, the problem of FTC of unstable LPV systems subject to actuator saturations is considered. In this case, the design of the virtual actuator is performed in such a way that the convergence of the state trajectory to zero is assured despite the saturations and the appearance of faults. Also, it is shown that it is possible to obtain some guarantees about the tolerated delay between the fault occurrence and its isolation, and that the nominal controller can be designed so as to maximize the tolerated delay.i Resum Aquesta tesi presenta diverses contribucions a l'estat de l'art del control per planificació del guany i del control tolerant a fallades (FTC).Pel que fa al control per planificació del guany, s'analitzen les connexions entre els paradigmes dels sistemes lineals a paràmetres variants en el temps (LPV) i d...

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Section: Gain-scheduling: Lpv Systems and Ts Systemsmentioning

confidence: 99%

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Rotondo¹

2018

Springer Theses

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“…Reference is made to the nonlinear state-space model of a squirrel-cage IM considered in equation 1 [4,18]. Under the assumption of linear magnetic circuits, the electrical and mechanical state equations turn out to be:…”

Section: Linear Parameter Varying (Lpv) Model Of Induction Machinementioning

confidence: 99%

Actuator Fault Estimation Based on LPV Unknown Input Observer for Induction Machine

Amrane¹,

Larabi²,

Aïtouche³

2017

STUD INFORM CONTROL

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This machine is not easy to control due to the nonlinearity of its dynamic model. Moreover, its state variables are not all measurable and it is under the influence of parametric variations. Therefore, a good control is necessary to guaranty the stability of its proper functioning. In the literature, most of the works deal with steady state vector control [8-10, 21, 25], Direct Torque Control (DTC) [19], Sliding Mode Control (SMC) [13,27]. In addition, nonlinear control applied to induction machine has been developed such in [14].The advantages of such approaches are their robustness to disturbances and their simplicity of implementation. The major disadvantage of the set-up is that all controls rely on the reliability of the measurement provided by sensors, Abstract: This paper presents an unknown inputs observer (UIO) applied to an induction machine (IM) in order to estimate the actuator faults and the state variables. Knowing that the machine used is highly nonlinear, a model based on LPV (linear parameter varying) system of the machine is used. Indeed, using the induction machine based on LPV model, we develop the structure of an observer where the actuator faults are the unknown inputs. The conditions for convergence are based on the Lyapunov theory that will ensure the stability. Based on the LMI (Linear Matrix Inequalities), the gains of the UIO subject to actuator faults are confirmed and then ensure the efficiency of our approach. The obtained results through simulations demonstrate the effectiveness of the proposed approach.

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“…Capturing nonlinear systems using linear relationships leads to development of quasi-LPV model [3]- [4] where the scheduling signals can be the states, inputs or outputs of the system. Polytopic LPV approach [5]- [6] is also a popular technique to synthesize the linear controllers by interpolating LMIs at different vertices of the polytope. LPV models have been used to synthesize various control algorithms such as gain scheduling controllers [7]- [9], H ∞ controllers [10]- [11], and LQR controllers [12]- [13].…”

Section: Introductionmentioning

confidence: 99%

Stabilization of pan-tilt systems using acceleration based LMI-LQR controller

Han

Ünel

2017

2017 11th Asian Control Conference (ASCC)

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Abstract-This paper extends the previous work on LPV modeling of a pan-tilt system [1] and tackles the robust stabilization problem by employing angular acceleration feedback in an LMI based optimal LQR controller. The state vector of the LPV model is augmented to include the integral of the position errors in addition to joint angles and velocities. Therefore, an extended polytopic quasi-LPV model of the pantilt system is derived. The LMI based optimal LQR controller that utilizes acceleration feedback is synthesized based on the extended LPV model. Since the time varying parameter vector is 4 dimensional, the proposed controller is synthesized by interpolating LMIs at 16 vertices of the polytope. A cascaded nonlinear high gain observer is also designed to estimate reliable positions, velocities and accelerations from noisy encoder measurements. Simulation results show that the proposed LMI based optimal LQR controller outperforms the classical LMI based LQR controller.

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Sensor fault detection and isolation filter for polytopic LPV systems: A winding machine application

Abstract: In this paper, a fault diagnosis method is developed for a particular class

Cited by 71 publications

References 32 publications

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Actuator Fault Estimation Based on LPV Unknown Input Observer for Induction Machine

Stabilization of pan-tilt systems using acceleration based LMI-LQR controller

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