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Design of LPV-Based Sliding Mode Controller with Finite Time Convergence for a Morphing Aircraft
2017
International Journal of Aerospace Engineering
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The tensor-product (TP) model transformation approach can be directly applied to solve infinite LMIs belonging to the polynomial parameter-dependent LPV system. ...
This paper proposes a finite time convergence sliding mode control (FSMC) strategy based on linear parameter-varying (LPV) methodology for the stability control of a morphing aircraft subject to parameter ...
More recently, a standard secondorder sliding mode control approach is directly explored for the control of LPV systems in [28] ; however, the approach for turning the infinite LMI constraints into a ...
doi:10.1155/2017/8426348
fatcat:emhkie6jpfahrjxedlx5vado3m
Tokamak plasma models development for plasma magnetic control systems design by first principle equations and identification approach
2021
Procedia Computer Science
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In order to ensure the operability of plasma current and shape feedback control systems, the identification approach (controlled plant model design on the base of experimental input-output signals) is ...
To design plasma magnetic control systems in modern tokamaks one needs models of the plasma. ...
This method can be extended for use with the Windsurfer-Like Approach [17] to obtain MIMO LPV models using LMI. ...
doi:10.1016/j.procs.2021.04.167
fatcat:57nzcfljurecnaubt26zctpnny
Stabilizing Controller Design for Linear Parameter-Varying Systems Using Parameter Feedback
1998
Journal of Guidance Control and Dynamics
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The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
An alternative approach, presented in this paper, is to use modi- fied LTV design methods, applicable to very general LPV systems, to take advantage of the real-time knowledge of the parameters By changing ...
Throughout the paper, examples based on the missile flight control problem from Ref. 11 illustrate our design approach. ...
doi:10.2514/2.4322
fatcat:uwu4wkghefd3dh3b3rttjg5qqq
Delay-dependent filtering for time-delayed LPV systems
2008
Systems & control letters (Print)
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We develop LMI-based delay-dependent conditions to guarantee stability and an induced L 2 gain bound performance for the filtering error system. ...
Ke y w o r d s : H ∞ filtering; Time-delayed systems; Linear parameter varying (LPV) systems; Linear matrix inequalities (LMIs) * Corresponding author. Tel.: +1 713 743 4387; fax: +1 713 743 4503. ...
Note that lpv is obtained by solving an LMI problem similar to (18). ...
doi:10.1016/j.sysconle.2007.09.004
fatcat:xmyjhzmxzra4bh4nrfqwuzwrc4
State-feedback control of LPV sampled-data systems
2000
Mathematical Problems in Engineering
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In this paper, we address the analysis and the state-feedback synthesis problems for linear parameter-varying (LPV) sampled-data control systems. ...
Based on these analysis results, the sampled-data state-feedback control synthesis problems are examined. ...
Then, an LPV control design scheme will be implemented for control synthesis. z h ( k + 1) = Ah(P)Zh(k) + B h l ( p ) w h ( k ) + Bh2(p)uh(k) Zh(k) = c h l ( p ) z h ( k ) + D h l l @ ) w h ( k ) -k Dhl2 ...
doi:10.1155/s1024123x00001307
fatcat:jzugv7q2mbfctffg7wgxoqwxzu
Observer design for linear processes model with implicit nonlinear output map
2012
Journal of Process Control
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In this context, it is necessary to design an observer which does not require to invert explicitly the output map in order to obtain the estimated output. ...
The stability of the non-linear error dynamic is analysed by transforming the error dynamic into a LPV system. ...
Less conservative results have been obtained using the mean value theorem, where the error dynamic can be transformed into a LPV system [6] [12] [19] to design observers with improved performance. ...
doi:10.1016/j.jprocont.2012.06.019
fatcat:75umte4gufatllnqusejrqjgmu
LPV model reduction methods for aeroelastic structures * *The research leading to these results is part of the FLEXOP project. This project has received funding from the European Unions Horizon 2020 research and innovation programme under grant agreement No 636307
2017
IFAC-PapersOnLine
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These models are intractable by the most analysis and control synthesis algorithms. Therefore, efficient model order reduction methods are needed. This paper investigates two approaches. ...
These models are intractable by the most analysis and control synthesis algorithms. Therefore, efficient model order reduction methods are needed. This paper investigates two approaches. ...
In order to design a controller suppressing the aeroelastic effects, a suitable dynamic model is needed. ...
doi:10.1016/j.ifacol.2017.08.1015
fatcat:kxziigdwznajbfypf6ug23f27e
Control reconfiguration of LPV systems using virtual sensor and actuator
2012
IFAC Proceedings Volumes
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The basic idea of the method is to insert a reconfiguration block, which consists of an LPV virtual actuator and an LPV virtual sensor, between the plant and the nominal controller such that the fault ...
tolerant goal is achieved without re-designing the nominal controller. ...
In this paper, we consider both sensor and actuator faults, and propose a control reconfiguration method that uses an LPV virtual sensor and an LPV virtual actuator to achieve the reconfiguration goal. ...
doi:10.3182/20120829-3-mx-2028.00117
fatcat:d32jbwiqmbet5l4bomhpkp4zw4
Zonotopic Linear Parameter Varying SLAM Applied to Autonomous Vehicles
2022
Sensors
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LPV theory is used to model the dynamics of the vehicle and implement both an LPV-model predictive controller and a Zonotopic Kalman filter that allow localisation and navigation of the robot. ...
This article presents an approach to address the problem of localisation within the autonomous driving framework. ...
In general, the system keeps being nonlinear; however, by instantiating φ at a given time instant, it is possible to extend classical control techniques (as, e.g., LMIs) designed for linear systems: A ...
doi:10.3390/s22103672
pmid:35632079
pmcid:PMC9144797
fatcat:wgwkmvho55fvxcvr7rvhrt3pwq
LPV system identification for control using the local approach
2019
International Journal of Control
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IO representation of the LPV system We have chosen to represent the LPV system using an input-output (IO) representation (see (2) ). ...
We want to design an LPI controller for this accelerometer. ...
Consequently, we have that |y(e jω )| 2 < γ(ω) for all y(e jω ) satisfying relation (E2) with ∆ ∈ ∆ P , which is equivalent to: With this, we have thus proven that J ub wc (ω) is (at least) an upper bound ...
doi:10.1080/00207179.2019.1596316
fatcat:jm2s2yak5nhtlfmjligwq35jhu
A vibroacoustic application of modeling and control of linear parameter-varying systems
2010
Journal of the Brazilian Society of Mechanical Sciences and Engineering
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Using the obtained LPV model, gain-scheduled and robust multiobjective H 2 /H ∞ state feedback controllers are designed such that can consider a priori known bounds on the rate of parameter variation. ...
Based on experimental data, an LPV model is derived for this system using the State-space Model Interpolation of Local Estimates (SMILE) technique. ...
Most LPV control design techniques require an LPV model of the system that accurately describes the variation of the system dynamics over the workspace. ...
doi:10.1590/s1678-58782010000400002
fatcat:sinzmtegsrdvvi5xxxrgoelula
Fault-tolerant control of discrete-time LPV systems using virtual actuators and sensors
2014
International Journal of Robust and Nonlinear Control
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The reconfiguration block is realized by an LPV virtual actuator and an LPV virtual sensor. ...
Input-to-state stabilizing LPV gains of the virtual actuator and sensor are obtained by solving LMIs. ...
Static Output Feedback Control Design for LPV systems In this appendix, we give the details of design of an SOF controller for discrete-time LPV systems. ...
doi:10.1002/rnc.3194
fatcat:zxslzwso4rbvtjokixa2z2juge
Direct Data-Driven State-Feedback Control of Linear Parameter-Varying Systems
[article]
2024
arXiv
pre-print
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2022 pre-print arXiv:2211.17182v1 fatcat:4hjhxfdumjdfni6mnnqkuh5xc4Other Versions
The controllers are synthesized by solving an SDP with a finite set of LMI constraints. Additionally, we provide a synthesis method to handle noisy measurement data. ...
The framework of linear parameter-varying (LPV) systems has shown to be a powerful tool for the design of controllers for complex nonlinear systems using linear tools. ...
Moreover, the controllers can be obtained by solving an SDP that is characterized by LMIs. ...
arXiv:2211.17182v4
fatcat:dwgdhx7cl5gnjgbjrm2zfvpds4
Gain-scheduled dynamic output feedback control for discrete-time LPV systems
2011
International Journal of Robust and Nonlinear Control
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An application of the control design to a realistic engineering problem illustrates the benefits of the proposed approach. ...
This paper presents synthesis conditions for the design of gain-scheduled dynamic output feedback controllers for discrete-time linear parameter-varying systems. ...
On the other hand, the modern design approaches start from a linear parameter-varying (LPV) representation of the system and derive direct synthesis conditions for a parameter-dependent controller. ...
doi:10.1002/rnc.1711
fatcat:rvbmdhwu35bvnibbdpr74nwuya
Adaptive tower damping control for offshore wind turbines
2016
Wind Energy
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Subsequently, an adaptive tower damping control loop is designed using linear parameter-varying control synthesis; the proposed tower damping controller depends on this varying parameter which is assumed ...
An investigation of the fatigue load reduction performance in comparison with the original tower damping control approach is given for a generic three-bladed horizontal-axis wind turbine. ...
Roland Tóth from Technische Universiteit Eindhoven for discussions regarding the discretization of LPV systems. ...
doi:10.1002/we.2058
fatcat:cvnj63lgazfjrbknmesvrccfma
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