LPV observer design and damping control of container crane load swing

González, Antonio; Hoffmann, Christian; Radisch, Christian; Werner, Herbert

doi:10.23919/ecc.2013.6669526

Cited by 11 publications

(10 citation statements)

References 14 publications

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“…Note that the matrix inequalities (12) and (13) are sigmonial inequalities in γ . A Schur argument renders these linear in γ…”

Section: B State Space-based Lpv Controller Synthesismentioning

confidence: 99%

“…9) Parameter-Dependent Lyapunov Functions: Table VII classifies applications by synthesis technique and the use of parameter-dependent Lyapunov functions. Note that the gridding approach has only seldomly been applied experimentally without using parameter-dependent Lyapunov functions, while the only known experimental validations of multiplier-based LFT LPV controller synthesis techniques with parameterdependent Lyapunov functions are reported in [12], [62], [136], and [61]. The approaches in [12], [62], and [61] are based on [23], whereas, as mentioned above, a nonconvex optimization problem is solved in [136] using the framework of quadratic separators.…”

Section: ) Control Of Lpv Plants With Time-delaysmentioning

confidence: 99%

“…Hard nonlinearities such as stiction, hysteresis, or saturation are more difficult to handle, as well as systems with nonlinearly coupled modes. The success of controller synthesis for the latter depends on the nonunique choice of scheduling parameters [11], [12]. For the above systems, LPV controller synthesis is attractive as a straightforward extension of LTI control methodologies, such as sensitivity shaping and modeling tools.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Hoffmann

Werner

2015

IEEE Trans. Contr. Syst. Technol.

326

190

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This paper provides a survey of results in linear parameter-varying (LPV) control that have been validated by experiments and/or high-fidelity simulations. The LPV controller synthesis techniques employed in the references of this survey are briefly reviewed and compared. The methods are classified into polytopic, linear fractional transformation, and griddingbased techniques and it is reviewed how in each of these approaches, synthesis can be carried out as a convex optimization problem via a finite number of linear matrix inequalities (LMIs) for both parameter-independent and parameter-dependent Lyapunov functions. The literature is categorized with regard to the application, the complexity induced by the controlled system's dynamic and scheduling orders, as well as the synthesis method. Exemplary cases dealing with specific control design problems are presented in more detail to point control engineers to possible approaches that have been successfully applied. Furthermore, key publications in LPV control are related to application achievements on a timeline. Index Terms-Controller synthesis, experiments, high-fidelity (hifi)-simulation, linear parameter-varying (LPV).

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“…Note that the matrix inequalities (12) and (13) are sigmonial inequalities in γ . A Schur argument renders these linear in γ…”

Section: B State Space-based Lpv Controller Synthesismentioning

confidence: 99%

Section: ) Control Of Lpv Plants With Time-delaysmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Hoffmann

Werner

2015

IEEE Trans. Contr. Syst. Technol.

326

190

View full text Add to dashboard Cite

show abstract

“…Some recent results in this area were presented in [112], where an a posteriori analysis is used to verify that the closed-loop system is robust against deviations within known bounds in the scheduling signals, and in [188], where the design technique has been performed taking into account a stochastic description of the parameter uncertainty.…”

Section: Introductionmentioning

confidence: 99%

“…In contrast with [16,33,112,352], the robustness in the proposed approach is guaranteed a priori during the design phase.…”

Section: Introductionmentioning

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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Robust State-Feedback Control of Uncertain LPV Systems

Rotondo

2017

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

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LPV observer design and damping control of container crane load swing

Cited by 11 publications

References 14 publications

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

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

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Robust State-Feedback Control of Uncertain LPV Systems

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