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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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A differential flatness based model predictive control approach
2012 IEEE International Conference on Control Applications, 2012In this contribution a novel extension to model predictive control for a certain class of input affine nonlinear systems is proposed, which satisfy the property of differential flatness and are of minimum phase. By feedforward linearization of the nonlinear system via a flatness based control law, the problem of nonlinear model predictive control is ...
Kandler, Christoph +4 more
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A linear differential flatness approach to controlling the Furuta pendulum
IMA Journal of Mathematical Control and Information, 2007Summary: The aim of this work is to motivate the use of linear flatness, or controllability, to design a feedback control law for the rather challenging mechanism known as the `Furuta pendulum'. This is achieved by introducing three feedback controller design options for the stabilization and rest-to-rest trajectory tracking tasks: a direct pole ...
Carlos Aguilar Ibáñez +1 more
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Periodic Control of Unmanned Aerial Vehicles based on Differential Flatness
2018 Annual American Control Conference (ACC), 2018Unmanned aerial vehicles (UAVs) are making increasingly long flights today with significantly longer mission times. This requires the UAVs to have long endurance as well as have long range capabilities. Motivated by locomotory patterns in birds and marine animals which demonstrate a powered-coasting-powered periodic locomotory behavior, an optimal ...
Oladapo Ogunbodede +2 more
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Trajectory tracking control based on differential flatness
2016 35th Chinese Control Conference (CCC), 2016The development of hypersonic flight control system is a challenging task, because of the tightly coupled, highly nonlinear and notoriously uncertain nature of hypersonic vehicle(HSV) dynamics. During the hypersonic flight, any state which does not meet the constraint condition may lead to the system instability.
Yuxiao Wang +3 more
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Control of the Furuta pendulum based on a linear differential flatness approach
Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), 2002In this article, we present a flatness based control approach for the stabilization and equilibrium-to-equilibrium transfers, via trajectory tracking, of the Furuta pendulum. We introduce three feedback controller design options for the stabilization and rest-to-rest trajectory problems; a direct pole placement approach, a hierarchical high-gain ...
Carlos Aguilar Ibáñez +1 more
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Sliding Mode Control of a Quadrotor with Suspended Payload: a Differential Flatness Approach
International Conference on Electrical Engineering, Computing Science and Automatic Control, 2020This article addresses the problem of transporting a slung load with a cable with a quadrotor unmanned aerial vehicle UAV in the frame x−z. The proposed solution introduces a nonlinear model system and a robust sliding mode control approach for a ...
A. Martinez-Vasquez +2 more
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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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Groups of unmanned vehicles: differential flatness, trajectory planning, and control
Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292), 2003This paper addresses the problem of trajectory planning and tracking control of groups of unmanned vehicles. The trajectory planner is aimed at satisfying the dynamic equations and constraints. The planner builds on two features of the group: (1) state equations for each member are differentially flat, and (2) inequality constraints have special ...
Stephen T. Pledgie +4 more
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Control of Synchronous Reluctance Machines using Differential Flatness Theory
2018 5th International Symposium on Environment-Friendly Energies and Applications (EFEA), 2018The article uses differential flatness theory to solve the nonlinear control and estimation problems of synchronous reluctance machines. By exploiting the differential flatness properties of the state-space model of the synchronous reluctance machine it is shown that a state-variables transformation (diffeomorphism) can be applied to it.
Rigatos G. +3 more
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