Efficient Methods for Flight Envelope Estimation through Reachability Analysis

Stapel, Jork; Visser, Coen C. de; Kampen, E. van; Chu, Q.P.

doi:10.2514/6.2016-0083

Cited by 21 publications

(11 citation statements)

References 17 publications

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“…Estimating the safe flight envelope as a reachability set using the level set method is computationally expensive; the time and the memory required grow significantly with an increase in the problem's dimension. The computational complexity of the level set method is of the order O N n+1 , with N being the number of computational grid points and n the dimension of the problem [13]. It has been suggested by Kitsios and Lygeros [10] that the "curse of dimensionality"…”

Section: Curse Of Dimensionalitymentioning

confidence: 99%

See 1 more Smart Citation

Effects of Structural Failure on the Safe Flight Envelope of Aircraft

Nabi

Lombaerts

Zhang

et al. 2018

Journal of Guidance, Control, and Dynamics

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Section: Curse Of Dimensionalitymentioning

confidence: 99%

“…To the best of our knowledge, the maximum dimension of the safe flight envelope that has been estimated offline using the reachability analysis is four [11,12]. Recently, several computationally efficient methods have been explored for flight envelope estimation [13].…”

Section: Introductionmentioning

confidence: 99%

Effects of Structural Failure on the Safe Flight Envelope of Aircraft

Nabi

Lombaerts

Zhang

et al. 2018

Journal of Guidance, Control, and Dynamics

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“…The theory of reachable set analysis is a useful tool in safety verification of dynamic systems 23 and has been applied to estimate the flight dynamic envelope. 10,11,24 The reachable set is a region of the state space which can be reached from an initial or target set of states. In the flight dynamic envelope estimation problem, the initial or target set is posed as a set of safe states, for example, a set of trim points.…”

Section: Introductionmentioning

confidence: 99%

Determination of the flight dynamic envelope via stable manifold

Yuan

2019

Measurement and Control

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The flight envelope plays an important role in flight safety. The concept of posing the flight envelope as a region of attraction is explored further, and it is investigated whether the stable manifold for the region of attraction computation is an efficient method for determining envelope. The stable manifold describes the flight dynamic envelope of an aircraft in an explicit representation, which means that the computation needs to be done only on the envelope, not the entire state space. In this paper, the stable manifold is computed by using a fast method which reduces the computation to solving a system of partial differential equation. Then, the stable manifold grows in the way of advancing front mesh generation framework. The stable manifold is then applied to the envelope determination of a nonlinear F-16 model. The result is compared to the results obtained with the level set method, demonstrating that the stable manifold provides a feasible and accurate result to the dynamic envelope. The proposed method is then used to investigate the effect of actuator failure on the flight safety. The proposed method can also be used as a safety assessing tool during the design phase of an aircraft.

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“…However, the common problem with these methods to numerically solve the optimization problem and/or partial differential equations is the high computational load for complex nonlinear systems with high dimensions [12]. The usual solution is to simply restrict investigation to problems with low dimensions by introducing virtual inputs with time-scale separation [6,15] or perform domain decomposition [16]. The maximum dimension implemented directly was four [17].…”

Section: Introductionmentioning

confidence: 99%

“…The maximum dimension implemented directly was four [17]. 6-D estimation is possible when combined with system decomposition [16].…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Flight Envelope Estimation with Application to Unstable Over-Actuated Aircraft

Yin

Chu

Zhang

et al. 2019

AIAA Scitech 2019 Forum

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This paper proposes a novel and practical framework for safe flight envelope estimation and protection, in order to prevent loss-of-control-related accidents. Conventional analytical envelope estimation methods fail to function efficiently for systems with high dimensionality and complex dynamics, which is often the case for high-fidelity aircraft models. In this way, this paper develops a probabilistic envelope estimation method based on Monte Carlo simulation. This method generates a probabilistic estimation of the flight envelope by simulating flight trajectories with extreme control effectiveness. It is shown that this method can significantly reduce the computational load compared with previous optimization-based methods and guarantee feasible and conservative envelope estimation of no less than seven dimensions. This method was applied to the Innovative Control Effectors aircraft, an over-actuated tailless fighter aircraft with complex aerodynamic coupling between control effectors. The estimated probabilistic flight envelope is used for online envelope protection by a database approach. Both conventional state-constraint-based and novel predictive probabilistic flight envelope protection systems were implemented on a multi-loop nonlinear dynamic inversion controller. Real-time simulation results demonstrate that the proposed framework can protect the aircraft within the estimated envelope and save the aircraft from maneuvers that otherwise would result in loss of control. I, R = invariant and reachable sets J = inertia matrix, slug·ft 2 J = augmented inertia matrix

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Efficient Methods for Flight Envelope Estimation through Reachability Analysis

Cited by 21 publications

References 17 publications

Effects of Structural Failure on the Safe Flight Envelope of Aircraft

Effects of Structural Failure on the Safe Flight Envelope of Aircraft

Determination of the flight dynamic envelope via stable manifold

Probabilistic Flight Envelope Estimation with Application to Unstable Over-Actuated Aircraft

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