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Differential Flatness Theory and Flatness-Based Control
2015The chapter analyzes the concept of differential flatness theory-based control, both for lumped dynamical systems (that is for systems which are described by ordinary differential equations) and for distributed parameter systems (that is for systems which are described by partial differential equations).
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Differential flatness and sliding mode control
2015A system is said to be differentially flat if there exists a set of independent differential functions of the state (i.e., they do not satisfy any differential equations and, additionally, they are functions of the state and of a finite number of their time derivatives), called the flat outputs.
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Differentially flat nonlinear control systems
1997Differentially flat systems are underdetermined systems of (nonlinear) ordinary differential equations (ODEs) whose solution curves are in smooth one-one correspondence with arbitrary curves in a space whose dimension equals the number of equations by which the system is underdetermined. For control systems this is the same as the number of inputs. The
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Active disturbance rejection control of singular differentially flat systems
2015 54th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE), 2015A possible limitation of differentially flat systems stems from the possibility of gain singularities on open or closed regions of the flat output phase space. The evasion of control gain singularity poses an important theoretical problem even under the scope of Active Disturbance Rejection Control. In this article, we illustrate an interesting example
M. Ramirez-Neria +3 more
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Differential flatness properties and control of commodities price dynamics
2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC), 2016The PDE model of the commodities price dynamics is shown to be equivalent to a multi-asset Black-Scholes PDE. Actually it is a diffusion process evolving in a 2D assets space, where the first asset is the commodity's spot price and the second asset is the convenience yield.
Rigatos, Gerasimos +3 more
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Sliding Mode Control of Quadrotor based on Differential Flatness
2018 International Conference on Control, Automation and Diagnosis (ICCAD), 2018In this work, the differential flatness property and the sliding mode controller design are proposed for a quadrotor in order to track a predefined reference trajectory despite the presence of uncertain parameters. Firstly, differential flatness is utilized to resolve the problem for trajectory generation and tracking for the quadrotor. Next, a sliding
Abadi, Amine +4 more
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Control of uncertain nonholonomic mechanical systems using differential flatness
Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 1998Considers the problem of controlling uncertain nonholonomic mechanical systems which are differentially flat, that is, which admit a set of (flat) outputs with the property that there is a one to one correspondence between system trajectories and output curves.
E. Barany, K. Glass, R. Colbaugh
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Neural Guidance Control for Aircraft Based on Differential Flatness
Journal of Guidance, Control, and Dynamics, 2008Increasing air traffic density and new strict environmental regulations have been driving researchers to develop more advanced guidance systems for civil transportation aircraft to perform complex maneuvers. In this paper, a neural guidance control scheme is proposed to make an aircraft perform more complex trajectories. Based on differential flatness,
Wen-Chi Lu +3 more
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Differential Flatness-Based Control of Switched Reluctance Motors
SAE Technical Paper Series<div class="section abstract"><div class="htmlview paragraph">This paper presents a Differential Flatness-Based Control (FBC) approach for the current control of Switched Reluctance Machines (SRMs), a potential candidate for the automotive industry. The main challenges in SRM control methods stem from motor nonlinearity.
Yasaman Niazi +4 more
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Differential Flatness Based Synchronization Control of Multiple Heterogeneous Robots
IECON 2018 - 44th Annual Conference of the IEEE Industrial Electronics Society, 2018The problem of synchronization control of multiple heterogeneous robotic systems is discussed in this paper. Using differential flatness theory, several robots involved in a manufacturing line may be controlled for a common task. The robots are arranged in a Leader-multiple heterogeneous follower robots formation.
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