Search results for "Nonlinear"

showing 10 items of 3684 documents

Adaptive H ∞ synchronization of master-slave systems with mixed time-varying delays and nonlinear perturbations: An LMI approach

2011

Published version of an article in the journal: International Journal of Automation and Computing. Also available from the publisher on SpringerLink: http://dx.doi.org/10.1007/s11633-011-0595-z This paper proposes an adaptive synchronization problem for the master and slave structure of linear systems with nonlinear perturbations and mixed time-varying delays comprising different discrete and distributed time delays. Using an appropriate Lyapunov-Krasovskii functional, some delay-dependent sufficient conditions and an adaptation law including the master-slave parameters are established for designing a delayed synchronization law in terms of linear matrix inequalities(LMIs). The time-varying…

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Time delaysEngineeringbusiness.industryApplied MathematicsVDP::Technology: 500::Mechanical engineering: 570Linear systemNonlinear perturbationsMaster/slaveLinear matrixSynchronization signalComputer Science ApplicationsControl and Systems EngineeringControl theoryModeling and SimulationSynchronization (computer science)businessInternational Journal of Automation and Computing
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Robust adaptive H∞ synchronization of master-slave systems with discrete and distributed time-varying delays and nonlinear perturbations

2011

Author's version of a chapter published in the book: Proceedings of the 18th IFAC World Congress 2011. Also available from the publisher at: http://dx.doi.org/10.3182/20110828-6-IT-1002.03116 This paper establishes an adaptive synchronization problem for the master and slave structure of linear systems with nonlinear perturbations and mixed time-varying delays, where the mixed delays comprise different discrete and distributed time-delays. Using an appropriate Lyapunov-Krasovskii functional, some delay-dependent sufficient conditions and an adaption law which include the master-slave parameters are established for designing a delayed synchronization law in terms of linear matrix inequalitie…

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413adaptive synchronization master-slave system delay H∞ performance nonlinear pertubationsVDP::Technology: 500::Mechanical engineering: 570
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Adaptive Tracking Control of Nonlinear Time-Varying Systems with Unknown Control Coefficients and Unknown Time-Varying Parameters

2019

This paper investigates the tracking control of a class of strict-feedback uncertain nonlinear systems in the presence of unknown signs of control coefficients and unknown time-varying parameters as well as unknown disturbances. A robust adaptive controller and a new decoupled backstepping approach to stability analysis are developed by constructing a new compensation scheme. By introducing a Nussbaum function and a new type of hyperbolic tangent function, the effects of unknown time-varying parameters and unknown control coefficients are effectively compensated. By using the decoupled backstepping technique, it is proved that under the proposed control, all closed-loop states are uniform u…

VDP::Teknologi: 500Nonlinear systemControl theoryComputer scienceBounded functionBacksteppingComputingMilieux_LEGALASPECTSOFCOMPUTINGTracking (particle physics)Control (linguistics)Stability (probability)Compensation (engineering)2019 IEEE 58th Conference on Decision and Control (CDC)
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One-dimensional nonlinear boundary value problems with variable exponent

2018

In this paper, a class of nonlinear differential boundary value problems with variable exponent is investigated. The existence of at least one non-zero solution is established, without assuming on the nonlinear term any condition either at zero or at infinity. The approach is developed within the framework of the Orlicz-Sobolev spaces with variable exponent and it is based on a local minimum theorem for differentiable functions.

Variable exponent Sobolev spacemedia_common.quotation_subject02 engineering and technology01 natural sciences0202 electrical engineering electronic engineering information engineeringDiscrete Mathematics and CombinatoricsBoundary value problemDifferentiable function0101 mathematicsDifferential (infinitesimal)P(x)-LaplacianDiscrete Mathematics and Combinatoricmedia_commonMathematicsDirichlet problemDirichlet problemApplied Mathematics010102 general mathematicsMathematical analysisZero (complex analysis)AnalysiDirichlet problem; P(x)-Laplacian; Variable exponent Sobolev spaces; Analysis; Discrete Mathematics and Combinatorics; Applied MathematicsMixed boundary conditionInfinityNonlinear system020201 artificial intelligence & image processingAnalysis
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Robust H∞ sliding mode control with pole placement for a fluid power electrohydraulic actuator (EHA) system

2014

Published version of an article in the journal: International Journal of Advanced Manufacturing Technology. Also available from the publisher at: http://dx.doi.org/10.1007/s00170-014-5910-8 In this paper, we exploit the sliding mode control problem for a fluid power electrohydraulic actuator (EHA) system. To characterize the nonlinearity of the friction, the EHA system is modeled as a linear system with a system uncertainty. Practically, it is assumed that the system is also subject to the load disturbance and the external noise. An integral sliding mode controller is proposed to design. The advanced techniques such as the H ∞ control and the regional pole placement are employed to derive t…

Variable structure controlEngineeringbusiness.industrypole placementMechanical EngineeringLinear systemLinear matrix inequalitysliding mode controlComputer Science Applications1707 Computer Vision and Pattern RecognitionVDP::Technology: 500::Electrotechnical disciplines: 540Sliding mode controlLinear matrix inequalities (LMIs); Pole placement; Sliding mode control; Control and Systems Engineering; Software; Mechanical Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognition; Industrial and Manufacturing EngineeringVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411Industrial and Manufacturing EngineeringComputer Science ApplicationsNonlinear systemFluid powerControl theoryControl and Systems EngineeringFull state feedbacklinear matrix inequalities (LMIs)ActuatorbusinessSoftwareH∞ control
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Fuzzy dynamic sliding mode control design for high order disturbed systems

2013

In this paper, the problem of fuzzy dynamic sliding mode control design is investigated for a class of disturbed systems. Specifically, the fuzzy controller is constructed based on one feedback signal to estimate the unknown nonlinear terms and to develop the sliding mode control according to the fuzzy rules. Furthermore, it possesses the characteristic of simplicity in design and effectiveness in attenuating chattering. Finally, a numerical example is included to demonstrate the effectiveness and advantage of the proposed method.

Variable structure controlNonlinear systemAdaptive neuro fuzzy inference systemControl theorySIGNAL (programming language)Fuzzy control systemFuzzy logicSliding mode controlMathematics2013 International Conference on Fuzzy Theory and Its Applications (iFUZZY)
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Holder continuity of solutions for a class of nonlinear elliptic variational inequalities of high order

2001

Variational inequalityWeight functionClass (set theory)Quarter periodHigher-order equationApplied MathematicsMathematical analysisNonlinear degenerate elliptic equation Higher-order equation Variational inequality Weight function;Hölder conditionNonlinear degenerate elliptic equationJacobi elliptic functionsNonlinear systemWeight functionElliptic partial differential equationVariational inequalityAnalysisMathematics
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Nonlinear elliptic equations with asymmetric asymptotic behavior at $pminfty$

2016

We consider a nonlinear, nonhomogeneous Dirichlet problem with reaction which is asymptotically superlinear at $+infty$ and sublinear at $-infty$. Using minimax methods together with suitable truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions one of which is negative.

Variational methodsNonlinear maximum principleResonanceAsymmetric reactionCritical groupNonlinear regularity
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Control Strategy for Induction Motor Drives Based on Decoupling Techniques

1989

Abstract In this work a new closed loop, synchronous microprocessor-based controller is proposed for field oriented controlled induction motor drives, using a PWM voltage source inverter. This controller is based on a non linear state feedback compensator which gives decoupling of both rotor current and rotor flux, and direct and inquadrature components of the stator current vector. The compensator has a linearizing effect on the synchronous model of the electromagnetic circuit of the motor. It follows that the control laws can be obtained using optimal control techniques for linear systems. The controller in question gives directly the conduction sequences of the inverter supplying the ind…

Vector controlRotor (electric)Computer scienceLinear systemControl engineeringDecoupling (cosmology)Optimal controlThermal conductionAC motorWound rotor motorlaw.inventionQuantitative Biology::Subcellular ProcessesNonlinear systemMotor controllerDirect torque controllawControl theoryInverterSynchronous motorInduction motorDecoupling (electronics)IFAC Proceedings Volumes
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Non-fragile sliding mode control for flexible air-breathing hypersonic vehicles

2012

The non-fragile sliding mode tracking control design problem for a flexible air-breathing hypersonic vehicles (FAHVs) is investigated in this paper. A linearized model is constructed with respect to a trim point for the nonlinear, dynamically coupled simulation model of the FAHVs with external disturbance, then a reference model is designed and a tracking error model is proposed. An integral sliding surface is designed, and then the non-fragile H ∞ controller design problem for the sliding mode dynamics is discussed. sufficient condition is derived for the existence of such a controller in the presence of unmatched disturbance. A SMC law is derived to guarantee the reachability of the speci…

Vehicle dynamicsTracking errorHypersonic speedNonlinear systemEngineeringControl theoryRobustness (computer science)business.industryAerodynamicsbusinessReference modelSliding mode control2012 7th IEEE Conference on Industrial Electronics and Applications (ICIEA)
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