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CONTROL OF THE DIFFERENTIALLY FLAT LORENZ SYSTEM
International Journal of Bifurcation and Chaos, 2001This paper presents an approach for the control of the Lorenz system. We first show that the controlled Lorenz system is differentially flat and then compute the flat output of the Lorenz system. A two degree of freedom design approach is proposed such that the generation of full state feasible trajectory incorporates with the design of a tracking ...
JIN MAN JOO, JIN BAE PARK
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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 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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Differential Flatness and Absolute Equivalence of Nonlinear Control Systems
SIAM Journal on Control and Optimization, 1998A traditional approach to solving the problem of equivalence of nonlinear systems (in particular, to linear systems, i.e., feedback linearization) consists of working in the context of differential geometry. Numerous results in that area are available, and typically, the conditions for feedback linearizability are given in terms of involutivity of ...
van Nieuwstadt, M. +2 more
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Differential flatness based full authority helicopter control design
Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 2003A full authority helicopter control design based on differential flatness is presented. The concept of outer flatness is deployed for the design. The position dynamics and attitude dynamics are treated as the outer and inner systems respectively. The proposed design is based on an approximate model which is differentially flat, and then modified for ...
Koo, TJohn, Sastry, Shankar
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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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Differential Flatness Controller for BLIL PFC Boost Rectifier
SSRN Electronic Journal, 2019Electric Vehicle uses AC/DC boost converters for charging high energy battery pack from the input AC supply. They incorporate a PFC controller to improve the input side power factor and also regulate the output voltage with reduced ripple. PFC converter is followed by DC /DC converter which provide high-frequency isolation from the battery bank.
G. Kanimozhi +2 more
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DFIG control using Differential Flatness theory and Extended Kalman Filtering
IFAC Proceedings Volumes, 2012Abstract A sensorless control scheme for doubly-fed induction generators (DFIG) is developed using flatness-based control theory and a state estimation method that is based on Extended Kalman Filtering. The complete sixth-order model of the doubly-fed induction generator is derived with the use of the stator and rotor electrical equations.
G. Rigatos, SIANO, PIERLUIGI
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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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