LPV Modelling and Identification: An Overview

Lovera, Marco; Bergamasco, Marco; Casella, Francesco

doi:10.1007/978-3-642-36110-4_1

Cited by 28 publications

(11 citation statements)

References 57 publications

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“…Depending on the problem under study, the data-driven methods can be categorized into different subcategories such as parametric and non-parametric methods [34], or global and local methods [35]. Global data-driven modeling of a highly complex system can be challenging, for which a network of local models might offer a solution [36].…”

Section: Data-driven Surrogate Modelsmentioning

confidence: 99%

Surrogate Modeling of Electrical Machine Torque Using Artificial Neural Networks

et al. 2020

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Section: Data-driven Surrogate Modelsmentioning

confidence: 99%

Surrogate Modeling of Electrical Machine Torque Using Artificial Neural Networks

et al. 2020

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“…This decomposition function is formed by combining all the terms of the nonlinear system that are not both affine with respect to the non-scheduling states and control inputs, and function of the scheduling parameters alone (after a coordinate change with respect to a single equilibrium point has been performed) [195]. The decomposition is carried out through a minimization procedure, which leads to numerical optimization problems [186].…”

Section: Function Substitutionmentioning

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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“…Therefore, the knowledge of the coefficient matrices, and in most cases access to the internal structure of the model (Ripepi, 2014), is not required. System identification is a general concept and, depending on the application and the properties of the problem under study, the methods may be classified into parametric and non-parametric methods (Gu, 2011), or global and local methods (Lovera et al, 2013), etc.…”

Section: Model Order Reduction Overviewmentioning

confidence: 99%