2017
DOI: 10.2514/1.c034258
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Dynamic Envelope Determination Based on Differential Manifold Theory

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Cited by 15 publications
(6 citation statements)
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“…As can be seen from (12) and (13), the maximum ( , ) is obtained under the optimal control * ( , ). The optimal control * ( , ) represents the choice of that maximizes the ( , ) in a given state .…”
Section: Level Set Methodmentioning
confidence: 98%
See 1 more Smart Citation
“…As can be seen from (12) and (13), the maximum ( , ) is obtained under the optimal control * ( , ). The optimal control * ( , ) represents the choice of that maximizes the ( , ) in a given state .…”
Section: Level Set Methodmentioning
confidence: 98%
“…In addition, another important method based on differential manifold theory [10][11][12] is presented to determine the safety envelope. Differential manifold theory is one method for estimating the stability region of nonlinear dynamic systems that can be seen as the dynamic envelope for aircraft systems [13]. It is shown that the stability boundary of the nonlinear dynamic system consists of the union of the stable manifolds of all equilibrium points and/or closed orbits on the stability boundary.…”
Section: Introductionmentioning
confidence: 99%
“…The commonly used methods for calculating the stability region of nonlinear systems include the traditional Lyapunov energy function method [28], [29], the Sum of Squares method [30], the manifold method [31], [32], the normal form method [33], the reachable set method [34], [35] and so on. The theory and method of determining the stability region mentioned above have different advantages and disadvantages, and are applied in the aviation field.…”
Section: Calculating Methods Of Stability Region In Monte Carlo Smentioning
confidence: 99%
“…Deterioration of aircraft aerodynamic performance caused by the ice accretion usually leads to atrophy of the whole flight envelope. If the pilot or autopilot still operates the iced aircraft within the original flight envelope which is not modified based on the actual ice accretion, the flight risk would increase greatly, example like the ATR accident in 1994, where the roll upset of the iced aircraft occurred anomaly at an angle of attack of 5 • , which is much lower than the limit of AOA (18.1 • ) [13]. Therefore, research on the envelope protection method under icing conditions is of great significance to ensure the flight safety of in-flight icing conditions.…”
Section: Introductionmentioning
confidence: 99%