Reentry Flight Clearance Using Interval Analysis

Juliana, S.; Chu, Q.P.; Mulder, J.A.

doi:10.2514/1.34091

Cited by 11 publications

(7 citation statements)

References 20 publications

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“…in (Juliana et al, 2008). However, interval computation is usually pessimistic, in the sense that a block Π k may be deemed undetermined by an inclusion test even if the property under analysis holds uniformly (i.e.…”

Section: Inclusion Test For Siviamentioning

confidence: 99%

Gain Tuning of Flight Control Laws for Satisfying Trajectory Tracking Requirements

Tancredi¹,

Corraro²

2012

Automatic Flight Control Systems - Latest Developments

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Section: Inclusion Test For Siviamentioning

confidence: 99%

Gain Tuning of Flight Control Laws for Satisfying Trajectory Tracking Requirements

Tancredi¹,

Corraro²

2012

Automatic Flight Control Systems - Latest Developments

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“…Because of the definition of Π′A and P′, the determination of Π′A may be seen as a set inversion problem. This can be solved by applying a set inversion algorithm, SIVIA (Set Inverter Via Interval Analysis), originally developed in the framework of Interval Analysis [21] and recently applied also to re-entry flight clearance [6].…”

Section: Computation Of π′Amentioning

confidence: 99%

“…The application of SIVIA requires defining an inclusion test, which is typically obtained by applying interval analysis, e.g. in [6]. However, interval computation is usually pessimistic, in the sense that a block Πk may be deemed undetermined by an inclusion test even if the property under analysis attains the same Boolean value over the block itself.…”

Section: Inclusion Test For Siviamentioning

confidence: 99%

“…In this way classical stability margins [3], or more sophisticated LTI-based robustness criteria, such as μ-analysis [4] and D-stability analyses [5], can be evaluated. Recently, a Lyapunov based criterion coupled to Interval Analysis techniques [6] has been proposed for establishing robustness of a FCS. This approach does not resort to linearization of the system dynamics, but still requires the introduction of fictitious equilibrium points obtained by a frozen-time approach.…”

Section: Introductionmentioning

confidence: 99%

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Robustness Analysis for Terminal Phases of Reentry Flight

Tancredi

Grassi

Corraro

et al. 2009

Journal of Guidance, Control, and Dynamics

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A novel approach to analyze the robustness of a Flight Control System (FCS) with respect to parametric uncertainties is presented, which specifically applies to gliding vehicles in the terminal phases of re-entry flight. Robustness analyses are particularly challenging for these systems. Their reference trajectories are appreciably time varying and encompass a broad variety of flight regimes. Furthermore, significant uncertainties on some critical design parameters affect the vehicle model, most notably those related to the aerodynamic behavior

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“…AMBM analyses stable margin, robust stability and some other criteria based on advanced control theories which include (1) structural singular value ( ) analysis [4,5]; (2) polynomial-based clearance [6]; (3) v-gap analysis; (4) bifurcation and continuation method [7]; and (5) optimizationbased clearance [8]. AMBM has been improved and extended to more criteria and more types of air vehicles [9][10][11][12][13][14]. SDBM demands high fidelity simulation platform and combines experiment design techniques with decision sciences.…”

Section: Introductionmentioning

confidence: 99%

Robust Stability Clearance of Flight Control Law Based on Global Sensitivity Analysis

Liu

Dong

et al. 2014

Journal of Applied Mathematics

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To validate the robust stability of the flight control system of hypersonic flight vehicle, which suffers from a large number of parametrical uncertainties, a new clearance framework based on structural singular value (μ) theory and global uncertainty sensitivity analysis (SA) is proposed. In this framework, SA serves as the preprocess of uncertain model to be analysed to help engineers to determine which uncertainties affect the stability of the closed loop system more slightly. By ignoring these unimportant uncertainties, the calculation ofμcan be simplified. Instead of analysing the effect of uncertainties onμwhich involves solving optimal problems repeatedly, a simpler stability analysis function which represents the effect of uncertainties on closed loop poles is proposed. Based on this stability analysis function, Sobol’s method, the most widely used global SA method, is extended and applied to the new clearance framework due to its suitability for system with strong nonlinearity and input factors varying in large interval, as well as input factors subjecting to random distributions. In this method, the sensitive indices can be estimated via Monte Carlo simulation conveniently. An example is given to illustrate the efficiency of the proposed method.

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Reentry Flight Clearance Using Interval Analysis

Cited by 11 publications

References 20 publications

Gain Tuning of Flight Control Laws for Satisfying Trajectory Tracking Requirements

Gain Tuning of Flight Control Laws for Satisfying Trajectory Tracking Requirements

Robustness Analysis for Terminal Phases of Reentry Flight

Robust Stability Clearance of Flight Control Law Based on Global Sensitivity Analysis

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