A Survey of Linear Parameter-Varying Control Applications Validated by Experiments or High-Fidelity Simulations

Hoffmann, Christian; Werner, Herbert

doi:10.1109/tcst.2014.2327584

Cited by 320 publications

(211 citation statements)

References 179 publications

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“…Then, between these operating points, the parameters (gains) of the controller were interpolated (scheduled) [127]. However, this approach lacked in providing stability and performance guarantees for all the possible operating conditions and, moreover, it needed the assumption of slow variation in time of the parameters [289].…”

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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“…Therefore, the applicability of the technique relies on a significant number of simulations and real-time experiments [11]. Even so, it is still one of the powerful adaptive control approaches that is widely used in industrial applications.…”

Section: Gain-scheduling Adaptive Control Schemementioning

confidence: 99%

Embedded Controller Design for Mechatronics System

Engin¹

2017

Design, Control and Applications of Mechatronic Systems in Engineering

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Many mechatronic systems have challenging control difficulties due to the high nonlinear structures and time-varying dynamic behaviors. In addition to these, there are external disturbances, which cannot be predicted and change according to uncontrolled working environments. Conventional controllers are insufficient to solve the aforementioned problems and to compensate the environmental disturbances. Therefore, adaptive controllers have been proposed as a solution to these inefficiencies of conventional controllers. Adaptive control is applied for solving the control problem of the mechatronic sun tracker that ensures the movement of the mechanism to harvest maximum energy coming from solar to the PV module surface during the sunshine duration. For this type of control problems, conventional controllers are very limited and they have a lot of deficiencies. The adaptive mechanism governed by an adaptation law is the heart of any adaptive controller. We establish the adaptation law for the plant control system using Lyapunov stability theory. This adaptation law is precise for a generic second-order system; hence, it is obviously applicable for adaptive control of other second-order systems in different realms, such as industrial production system, military, and robotics.

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“…Hoffmann and Werner (2015b) give a detailed summary of LPV control design methods and their application areas. Further interesting applications of LPV modeling and control can be found in the papers or Hassanabadi et al (2016), Hoffmann and Werner (2015a) or Péni et al (2015).…”

Section: Lpv Control Design With Guaranteed H ∞ Performancementioning

confidence: 99%

Reducing the mast vibration of single-mast stacker cranes by gain-scheduled control

Hajdú

Gáspár

2016

International Journal of Applied Mathematics and Computer Science

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In the frame structure of stacker cranes harmful mast vibrations may appear due to the inertial forces of acceleration or the braking movement phase. This effect may reduce the stability and positioning accuracy of these machines. Unfortunately, their dynamic properties also vary with the lifted load magnitude and position. The purpose of the paper is to present a controller design method which can handle the effect of a varying lifted load magnitude and position in a dynamic model and at the same time reveals good reference signal tracking and mast vibration reducing properties. A controller design case study is presented step by step from dynamic modeling through to the validation of the resulting controller. In the paper the dynamic modeling possibilities of single-mast stacker cranes are summarized. The handling of varying dynamical behavior is realized via the polytopic LPV modeling approach. Based on this modeling technique, a gain-scheduled controller design method is proposed, which is suitable for achieving the goals set. Finally, controller validation is presented by means of time domain simulations.

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A Survey of Linear Parameter-Varying Control Applications Validated by Experiments or High-Fidelity Simulations

Cited by 320 publications

References 179 publications

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Embedded Controller Design for Mechatronics System

Reducing the mast vibration of single-mast stacker cranes by gain-scheduled control

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