Gain‐scheduled dynamic output feedback control for discrete‐time LPV systems

Caigny, Jan De; Camino, Juan F.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D.; Swevers, Jan

doi:10.1002/rnc.1711

Cited by 98 publications

(78 citation statements)

References 51 publications

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“…In cases where this would not be possible, other approaches may be viable, e.g. output-feedback controller synthesis [68,229,279] or IO controller synthesis [7,8,349].…”

Section: Control Of Lpv 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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“…In cases where this would not be possible, other approaches may be viable, e.g. output-feedback controller synthesis [68,229,279] or IO controller synthesis [7,8,349].…”

Section: Control Of Lpv and Ts Systemsmentioning

confidence: 99%

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Rotondo¹

2018

Springer Theses

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“…If this was not the case, the problem could be treated using the homogenous polynomials relaxations (e.g. as in (J De Caigny et al, 2012). However, for the simplicity of presentation we continue with this assumption.…”

Section: Lpv Plant and Controllermentioning

confidence: 99%

“…Similarly to Definition 1, we can give a formal definition of H 2 performance (J De Caigny et al, 2012).…”

Section: H 2 Performance Controller Designmentioning

confidence: 99%

“…These ideas establish a good starting point for the LPV controller synthesis. A few recent publications cover the case of controller synthesis for discrete-time LPV systems affected by scheduling parameters with limited variations (F. Amato et al, 2005;J De Caigny et al, 2012; R. C. L. F. Oliveira and P. L. D. Peres, 2009), and the observer-based controller design for the LPV system with uncertainty in the measurement of the scheduling parameter is considered in (W.P.M. Heemels et al, 2010) .…”

Section: Introductionmentioning

confidence: 99%

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Fixed-structure LPV discrete-time controller design with inducedl₂-norm andH2performance

Emedi

Karimi

2015

International Journal of Control

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A new method for the design of fixed-structure dynamic output-feedback Linear Parameter Varying (LPV) controllers for discrete-time LPV systems with bounded scheduling parameter variations is presented. Sufficient conditions for the stability, H2 and induced l2-norm performance of a given LPV system are given through a set of Linear Matrix Inequalities (LMIs) and exploited for design. Extension to the case of uncertain scheduling parameter value is considered as well. Controller parameters appear directly as decision variables in the convex optimisation program, which enables preserving a desired controller structure in addition to the low order. Efficiency of the proposed method is illustrated on a simulation example, with an iterative convex optimisation scheme used for the improvement of the control system performance.

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“…For the case of continuous-time LPV systems, see for instance, Apkarian and Adams (1998), Kose and Jabbari (1999), Balas et al (2004), Scorletti and El Ghaoui (1995), Wu (2001), Gilbert et al (2010), Sato (2011), Song and Yang (2011). Also, for the discretetime dynamic output feedback controller LPV systems, see for instance, Blanchini and Miani (2003), De Caigny et al (2012), Zhang et al (2009), Emedi andKarimi (2014), De Oliveira et al (1999), Oliveira and Peres (2005)). Hence, the investigation of LPV systems with inexact but bounded parameters attracts the attention of many researchers in this field Wu et al (1997), Kalsi et al (2010).…”

Section: Introductionmentioning

confidence: 99%

A New LMI-Based Output Feedback Controller Design Method for Discrete-Time LPV Systems with Uncertain Parameters

et al. 2017

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This paper deals with observer-based stabilization for a class of Linear ParameterVarying (LPV) systems in discrete-time case. Two new LMI design methods are proposed to design the observer-based controller gains. The first one is based on the use of a Young's relation in a judicious way, while the second one, which provides more interesting results, is based on the use of a general congruence principle. This use of congruence principle leads to some additional slack matrices as decision variables, which make disappear some bilinear terms leading to less conservative LMI conditions. To the authors' best knowledge, this is the first time the congruence principle is exploited in this way. The effectiveness and superiority of the proposed design techniques, compared to existing results in the literature, are demonstrated through two numerical examples.

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Gain‐scheduled dynamic output feedback control for discrete‐time LPV systems

Cited by 98 publications

References 51 publications

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Fixed-structure LPV discrete-time controller design with inducedl₂-norm andH2performance

A New LMI-Based Output Feedback Controller Design Method for Discrete-Time LPV Systems with Uncertain Parameters

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Gain‐scheduled dynamic output feedback control for discrete‐time LPV systems

Cited by 98 publications

References 51 publications

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Fixed-structure LPV discrete-time controller design with inducedl2-norm andH2performance

A New LMI-Based Output Feedback Controller Design Method for Discrete-Time LPV Systems with Uncertain Parameters

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Fixed-structure LPV discrete-time controller design with inducedl₂-norm andH2performance