An LPV discrete-time controller for the rejection of harmonic time-varying disturbances in a lightweight flexible structure

Duarte, Franklyn; Ballesteros, Pablo; Shu, Xinyu; Bøhn, Christian

doi:10.1109/acc.2013.6580467

Cited by 9 publications

(7 citation statements)

References 13 publications

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“…9 Authors' note: Defence Evaluation and Research Agency. [108], [113], [117], [120], [122], [123], [143], aerospace flight control [145], and computer sciences [96].…”

Section: A History and Range Of Applicationsmentioning

confidence: 99%

“…More recently, the application of LPV techniques in robotics has been considered, both as an example on which to validate methods to handle LPV models of high complexity experimentally [27], [54], [118], [144], as well as with explicit industrial grade control objectives in mind [61], [62]. In the field of active noise cancellation headsets and vibration control the LFT approach as per [15] is also followed [113], [139]- [143].…”

Section: A History and Range Of Applicationsmentioning

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

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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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“…9 Authors' note: Defence Evaluation and Research Agency. [108], [113], [117], [120], [122], [123], [143], aerospace flight control [145], and computer sciences [96].…”

Section: A History and Range Of Applicationsmentioning

confidence: 99%

Section: A History and Range Of Applicationsmentioning

confidence: 99%

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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“…The model is truncated in the second mode, because in experimental studies [8,9,16,17] where system identification for cantilevered beams was performed, just the first two modes of vibration have considerable amplitude. The mode shape functions are assumed to have the form 1 1 ,…”

Section: Modelingmentioning

confidence: 99%

Modeling and sliding mode control of a single-link flexible robot to reduce the transient response

Duarte

Ballesteros

Ullah

et al. 2015

2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR)

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In many applications, the use of slender and light flexible structures has increased due to the requirement of more efficient structures. One objective of this work is to generate a model of a single-link flexible robot, which includes rotational actuator, piezoelectric actuators, different kind of sensors, acceleration and deformation. The model is obtained under a classical mechanics approach: Lagrange Euler energy balance. The dynamics of the actuators is also included. Some parts of the resulting model are calculated using symbolic programming software, where as other are implemented and calculated dynamically during simulation. The resulting model is simulated in Matlab Simulink. The second objective is to develop an active vibration sliding mode controller (AVSMC) which include an observer to get an estimation of the rate of change flexible variable. The boundary values required for the implementation of the AVSMC are obtained from the formulated model. Experimental results show the effectiveness of the proposed controller.

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“…It might affect the disturbance attenuation for fast changes in the disturbance frequency, although this simplifi ed model has been used for the rejection of time-varying frequencies (Shu et al 2011, Ballesteros and Bohn 2011a, 2011b, Heins et al 2011, 2012a, 2012b, Duarte et al 2013. In most practical applications with time--varying frequencies, however, the measured frequency will not correspond exactly to the instantaneous frequency due to measurement delays and the transmission of the disturbance to the plant.…”

Section: Disturbance Modelmentioning

confidence: 99%

“…Dettori and Scherer (2001), Du et al (2003), Bohn (2011a, 2011b), Shu et al (2011) and Duarte et al (2012Duarte et al ( , 2013 employed gain-scheduling output-feedback controllers. In the work done by Heins et al (2011Heins et al ( , 2012aHeins et al ( , 2012b and Ballesteros et al (2012) gain--scheduling observer-based controllers were implemented.…”

Section: Rejection Of Harmonic and Transient Disturbances Of A Smart mentioning

confidence: 99%

Rejection of Harmonic and Transient Disturbances of a Smart Structure With Piezoelectric Actuators

Duarte

Ballesteros

Shu

et al. 2013

mech

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An LPV discrete-time controller for the rejection of harmonic time-varying disturbances in a lightweight flexible structure

Cited by 9 publications

References 13 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

Modeling and sliding mode control of a single-link flexible robot to reduce the transient response

Rejection of Harmonic and Transient Disturbances of a Smart Structure With Piezoelectric Actuators

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