Table of Content

Nonlinear Computational and Control Methods in Aerospace Engineering

Submission Deadline: 01 October 2019 (closed)

Guest Editors

Prof. Honghua Dai, School of Astronautics, Northwestern Polytechnical University, China
Prof. Xiaokui Yue, School of Astronautics, Northwestern Polytechnical University, China
Prof. Cheinshan Liu, Hohai University, China
Prof. Earl Dowell, School of Engineering, Duke University, USA

Summary

Almost all real engineering systems are essentially nonlinear. Linear systems are just idealized models that approximate the nonlinear systems in a prescribed situation subject to a certain accuracy. Once nonlinearity is included, analytical solutions are rarely available for almost all real problems. Therefore, nonlinear computational methods are becoming important. In most aerospace problems, however, a relatively high-fidelity nonlinear model has to be established, especially when the system is immersing in a complicated environment and nonlinearity is not negligible anymore. Many complex phenomena, i.e., bifurcation, limit cycle oscillation, chaos, turbulence, may occur in a variety of aerospace systems, which may be described by nonlinear Ordinary Differential Equations (ODEs) for rigid body problems or Partial Differential Equations (PDEs) for flexible solids or fluid mechanics problems. In general, nonlinearity in aerospace systems is often regarded as unwanted and troublemaker, due to the fact that considering nonlinearity makes the solution methods as well as the control methods more difficult. Therefore, there has been a general tendency to circumvent, design around them, control them, or simply ignore them. However, in recent years, advanced computational and control methods have been developing so fast that complex nonlinear systems become more and more solvable. So, exploiting the benefits arising from systems' nonlinearities turns out to be a novel and crucial subject. This special issue is dedicated to the study of the dynamics and control of aircraft and spacecraft. It aims at stimulating an intense interaction between the two areas, and bringing new computational methods, control methods, modeling methods, and experiment methods from one area to the other. In summary, nonlinear features are inherent in modern aerospace engineering problems, and therefore very important to analyze. 

Potential topics include, but may not be limited to:

(1) Novel nonlinear computational methods for dynamical systems
(2) Data-based modeling of nonlinear dynamics and control
(3) Nonlinear control methods in spacecraft dynamics 
(4) Efficient computational methods in orbital dynamics
(5) Nonlinear structural dynamics in airfoil and whole-body aircraft
(6) Ground experiments for aircraft and spacecraft dynamics


Keywords

Nonlinear computational methods, data-based modeling, spacecraft dynamics, nonlinear control

Published Papers


  • Open Access

    EDITORIAL

    Preface: Nonlinear Computational and Control Methods in Aerospace Engineering

    Honghua Dai, Xiaokui Yue
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 1-4, 2020, DOI:10.32604/cmes.2020.09126
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract This article has no abstract. More >

  • Open Access

    ARTICLE

    Parallelized Implementation of the Finite Particle Method for Explicit Dynamics in GPU

    Jingzhe Tang, Yanfeng Zheng, Chao Yang, Wei Wang, Yaozhi Luo
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 5-31, 2020, DOI:10.32604/cmes.2020.08104
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract As a novel kind of particle method for explicit dynamics, the finite particle method (FPM) does not require the formation or solution of global matrices, and the evaluations of the element equivalent forces and particle displacements are decoupled in nature, thus making this method suitable for parallelization. The FPM also requires an acceleration strategy to overcome the heavy computational burden of its explicit framework for time-dependent dynamic analysis. To this end, a GPU-accelerated parallel strategy for the FPM is proposed in this paper. By taking advantage of the independence of each step of the FPM workflow, a generic parallelized computational… More >

  • Open Access

    ARTICLE

    Solving the Optimal Control Problems of Nonlinear Duffing Oscillators By Using an Iterative Shape Functions Method

    Cheinshan Liu, Chunglun Kuo, Jiangren Chang
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 33-48, 2020, DOI:10.32604/cmes.2020.08490
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract In the optimal control problem of nonlinear dynamical system, the Hamiltonian formulation is useful and powerful to solve an optimal control force. However, the resulting Euler-Lagrange equations are not easy to solve, when the performance index is complicated, because one may encounter a two-point boundary value problem of nonlinear differential algebraic equations. To be a numerical method, it is hard to exactly preserve all the specified conditions, which might deteriorate the accuracy of numerical solution. With this in mind, we develop a novel algorithm to find the solution of the optimal control problem of nonlinear Duffing oscillator, which can exactly… More >

  • Open Access

    ARTICLE

    Dynamic Analysis of Stochastic Friction Systems Using the Generalized Cell Mapping Method

    Shichao Ma, Xin Ning, Liang Wang
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 49-59, 2020, DOI:10.32604/cmes.2020.06911
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract Friction systems are a kind of typical non-linear dynamical systems in the actual engineering and often generate abundant dynamics phenomena. Because of non-smooth characteristics, it is difficult to handle these systems by conventional analysis methods directly. At the same time, random perturbation often affects friction systems and makes these systems more complicated. In this context, we investigate the steady-state stochastic responses and stochastic P-bifurcation of friction systems under random excitations in this paper. And in order to retain the non-smooth of friction system, the generalized cell mapping (GCM) method is first used to the original stochastic friction systems without any… More >

  • Open Access

    ARTICLE

    Hybrid Passive/Active Vibration Control of a Loosely Connected Spacecraft System

    Xin Wang, Xiaokui Yue, Haowei Wen, Jianping Yuan
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 61-87, 2020, DOI:10.32604/cmes.2020.06871
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract In this paper, a hybrid passive/active vibration (HPAV) controller of a loosely connected spacecraft consisting of a servicing satellite, a target and an X-shape structure isolator is first proposed to suppress vibrations of the system when subjected to the impulsive external excitations during the on-orbit missions. The passive dynamic response of the combined system can be adjusted appropriately to achieve the desired vibration isolation performance by tuning the structural parameters of the bio-inspired X-shape structure. Moreover, the adaptive control design through dynamic scaling technique is selected as the active component to maintain high vibration isolation performance in the presence of… More >

  • Open Access

    ARTICLE

    Adaptive Quasi Fixed-Time Orbit Control Around Asteroid with Performance Guarantees

    Renyong Zhang, Caisheng Wei, Zeyang Yin
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 89-107, 2020, DOI:10.32604/cmes.2020.07985
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract This paper investigates a novel quasi fixed-time orbit tracking control method for spacecraft around an asteroid in the presence of uncertain dynamics and unknown uncertainties. To quantitatively characterize the transient and steady-state responses of orbit tracking error system, a continuous performance function is devised via using a quartic polynomial. Then, integrating backstepping control technique and barrier Lyapunov function leads to a quasi fixed-time convergent orbit tracking controller without using any fractional state information and symbolic functions. Finally, two groups of illustrative examples are employed to test the effectiveness of the proposed orbit control method. More >

  • Open Access

    ARTICLE

    A Robust Roll Stabilization Controller with Aerodynamic Disturbance and Actuator Failure Consideration

    Qiancai Ma, Fengjie Gao, Yang Wang, Qiuxiong Gou, Liangyu Zhao
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 109-130, 2020, DOI:10.32604/cmes.2020.08109
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract Combining adaptive theory with an advanced second-order sliding mode control algorithm, a roll stabilization controller with aerodynamic disturbance and actuator failure consideration for spinning flight vehicles is proposed in this paper. The presented controller is summarized as an “observer-controller” system. More specifically, an adaptive second-order sliding mode observer is presented to select the proper design parameters and estimate the knowledge of aerodynamic disturbance and actuator failure, while the proposed roll stabilization control scheme can drive both roll angle and rotation rate smoothly converge to the desired value. Theoretical analysis and numerical simulation results demonstrate the effectiveness of the proposed controller. More >

  • Open Access

    ARTICLE

    Reentry Attitude Tracking Control for Hypersonic Vehicle with Reaction Control Systems via Improved Model Predictive Control Approach

    Kai Liu, Zheng Hou, Zhiyong She, Jian Guo
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 131-148, 2020, DOI:10.32604/cmes.2020.08124
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract This paper studies the reentry attitude tracking control problem for hypersonic vehicles (HSV) equipped with reaction control systems (RCS) and aerodynamic surfaces. The attitude dynamical model of the hypersonic vehicles is established, and the simplified longitudinal and lateral dynamic models are obtained, respectively. Then, the compound control allocation strategy is provided and the model predictive controller is designed for the pitch channel. Furthermore, considering the complicated jet interaction effect of HSV during RCS is working, an improved model predictive control approach is presented by introducing the online parameter estimation of the jet interaction coefficient for dealing with the uncertainty and… More >

  • Open Access

    ARTICLE

    A Novel Two-Level Optimization Strategy for Multi-Debris Active Removal Mission in LEO

    Junfeng Zhao, Weiming Feng, Jianping Yuan
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 149-174, 2020, DOI:10.32604/cmes.2020.07504
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract Recent studies of the space debris environment in Low Earth Orbit (LEO) have shown that the critical density of space debris has been reached in certain regions. The Active Debris Removal (ADR) mission, to mitigate the space debris density and stabilize the space debris environment, has been considered as a most effective method. In this paper, a novel two-level optimization strategy for multi-debris removal mission in LEO is proposed, which includes the low-level and high-level optimization process. To improve the overall performance of the multi-debris active removal mission and obtain multiple Pareto-optimal solutions, the ADR mission is seen as a… More >

  • Open Access

    ARTICLE

    Observability Analysis in Parameters Estimation of an Uncooperative Space Target

    Xianghao Hou, Gang Qiao
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 175-205, 2020, DOI:10.32604/cmes.2020.08452
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract To study the parameter estimating effects of a free-floating tumbling space target, the extended Kalman filter (EKF) scheme is utilized with different high-nonlinear translational and rotational coupled kinematic & dynamic models on the LIDAR measurements. Applying the aforementioned models and measurements results in the situation where one single state can be estimated differently with varying accuracies since the EKFs based on different models have different observabilities. In the proposed EKFs, the traditional quaternions based kinematics and dynamics and the dual vector quaternions (DVQ) based kinematics and dynamics are used for the modeling of the relative motions between a chaser satellite… More >

  • Open Access

    ARTICLE

    Study on Forced Straight-Line Guidance for the Final Translation Phase of Spacecraft Rendezvous

    Baichun Gong, Chenglong He, Degang Zhang
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 207-219, 2020, DOI:10.32604/cmes.2020.08616
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract Aimed at the problem of final translation of space rendezvous for the applications such as docking, inspection and tracking, optimal straight-line guidance algorithm based on pulse/continuous low-thrust in the context of Clohessy-Wiltshire dynamics is proposed. Two modes of guidance strategy: varying-speed and fixed-speed approaching scheme for V-bar and R-bar approach by using constant/finite low-thrust propulsion respectively are studied, and the corresponding fuel-optimal conditions are obtained. Numerical simulation is conducted to verify and test the proposed algorithms. The results show that there is generally no different between the fuel consumptions by using the two different approaching modes for V-bar case. However,… More >

  • Open Access

    ARTICLE

    Analytic Initial Relative Orbit Solution for Angles-Only Space Rendezvous Using Hybrid Dynamics Method

    Baichun Gong, Shuang Li, Lili Zheng, Jinglang Feng
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 221-234, 2020, DOI:10.32604/cmes.2020.07769
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract A closed-form solution to the angles-only initial relative orbit determination (IROD) problem for space rendezvous with non-cooperated target is developed, where a method of hybrid dynamics with the concept of virtual formation is introduced to analytically solve the problem. Emphasis is placed on developing the solution based on hybrid dynamics (i.e., Clohessy-Wiltshire equations and two-body dynamics), obtaining formation geometries that produce relative orbit state observability, and deriving the approximate analytic error covariance for the IROD solution. A standard Monte Carlo simulation system based on two-body dynamics is used to verify the feasibility and evaluate the performance proposed algorithms. The sensitivity… More >

  • Open Access

    ARTICLE

    Agile Satellite Mission Planning via Task Clustering and Double-Layer Tabu Algorithm

    Yanbin Zhao, Bin Du, Shuang Li
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 235-257, 2020, DOI:10.32604/cmes.2020.08070
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract Satellite observation schedule is investigated in this paper. A mission planning algorithm of task clustering is proposed to improve the observation efficiency of agile satellite. The newly developed method can make the satellite observe more targets and therefore save observation resources. First, for the densely distributed target points, a pre-processing scheme based on task clustering is proposed. The target points are clustered according to the distance condition. Second, the local observation path is generated by Tabu algorithm in the inner layer of cluster regions. Third, considering the scatter and cluster sets, the global observation path is obtained by adopting Tabu… More >

  • Open Access

    ARTICLE

    The Frequency Selection of SH0 Waves for Total Transmission and Its Application in the Damage Detection of Aircrafts

    Yanchao Yue, Tangbing Chen, Lingling Zhang, Moustafa Abdelsalam, Josephine Musanyufu
    Computer Modeling in Engineering & Sciences, Vol.122, No.1, pp. 259-272, 2020, DOI:10.32604/cmes.2020.07218
    (This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
    Abstract Based on wave interference, a methodology to realize the total transmission phenomenon of SH0 waves is proposed in this paper. After a systematical theoretical investigation, an exact frequency of a flat plate consisting of another medium with finite length, is obtained, which is furthermore exemplified by the finite element method. This frequency is the same as the classical Fabry-Perot condition and dependent on the thickness of the material. It has been revealed that an SH0 wave, with its wavelength equal to twice of the length of another medium, can totally transmit across the medium without reflection. Especially when the impedance… More >

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