Multiobjective optimization of steady-state cruise trajectory for a hypersonic vehicle

Wang, Kaiqiang; Zhang, Bainan; Hou, Yanze

doi:10.1109/ccsse.2017.8087909

Cited by 6 publications

(6 citation statements)

References 22 publications

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“…Then, a transcendental equation which is only related to α can be obtained by substituting ( 14) into (13). After the value of α is obtained, s can be also calculated by (12).…”

Section: W = 1 +mentioning

confidence: 99%

“…Steady-state cruise refers to the cruise with constant altitude and speed [12]. Thus, it is relatively easy to optimize the trajectory of steady-state cruise because it is a two-degree-of-freedom (DOF) problem [13], while Irons et al [14] have demonstrated that this trajectory is not optimal. The theoretically optimal trajectory is an infinite DOF curve, whose theoretical analysis is quite difficult as a two-point boundary value problem (TPBVP).…”

Section: Introductionmentioning

confidence: 99%

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A Two-Level Optimization Method for Hypersonic Periodic Cruise Trajectory

Wang

Zhou

et al. 2021

International Journal of Aerospace Engineering

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Periodic cruise has the potential to improve the fuel-saving efficiency of hypersonic cruise vehicle but is difficult to optimize. In this paper, a two-level optimization method for the trajectory of periodic cruise is proposed. Due to that the periodic cruise trajectory can be divided into an acceleration phase where engine works and a glide phase where engine is off, the two-level optimization method is proposed to optimize the trajectory in each phase by the corresponding level. In the first level, Downhill Simplex Method (DSM) is employed to find an optimal angle of attack in the acceleration phase. Subsequently, the optimal trajectory in glide phase is obtained by the Pseudo-Spectral Method (PSM) in the second optimization level. Numerical results demonstrate the effectiveness of the proposed method. Finally, through comparing with steady-state cruise, it is concluded that periodic cruise makes full use of the change of atmospheric density and lift-drag ratio; thus, fuel saving is achieved.

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“…Then, a transcendental equation which is only related to α can be obtained by substituting ( 14) into (13). After the value of α is obtained, s can be also calculated by (12).…”

Section: W = 1 +mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Two-Level Optimization Method for Hypersonic Periodic Cruise Trajectory

Wang

Zhou

et al. 2021

International Journal of Aerospace Engineering

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“…To study the advantages of PHC over steady cruise, an optimal steady cruise is used as the reference trajectory [27].…”

Section: B Reference Trajectory: Optimal Steady Cruisementioning

confidence: 99%

“…According to the objective in (27), to minimize the specific fuel consumption, the maximum L/D related to a given velocity should be adopted. On basis of the aerodynamic model in (3), the maximum L/D could be obtained, as shown in (28).…”

Section: B Reference Trajectory: Optimal Steady Cruisementioning

confidence: 99%

Optimal Periodic Control of Hypersonic Cruise Vehicle: Trajectory Features

et al. 2019

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Optimal periodic control is an effective technique to reduce aerodynamic heating and fuel consumption of hypersonic cruise vehicles. Herein, this optimal control problem has been solved by nonlinear programming and passed the posteriori check of optimality. The results indicate that the lift coefficient and velocity in dynamical model could be recognized as constants. Accordingly, the original 3D system consists of velocity, flight path angle, and altitude, which could be decoupled into a 2D subsystem and a 1D one. The 2D subsystem could describe the correlation between the flight path angle and altitude. And the period length is mainly dependent on the maximum altitude difference. The 1D subsystem has been proved to be feasible to describe the variation of kinetic energy or velocity. On basis of the subsystems, the heating and fuel performances of periodic cruise have been studied. The heating performance is mainly dependent on the maximum altitude difference, and the fuel consumption is mainly dependent on the drag coefficient. The features concluded in this paper can support rapid trajectory planning or suboptimal feedback design of hypersonic cruise vehicles. INDEX TERMS Optimal periodic control, hypersonic cruise vehicle, trajectory features, performances.

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“…Steady-state cruise means that aircraft cruises at a constant altitude and velocity [13]. Thus, steady-state cruise trajectory has only two degree-of-freedoms (DOF) and is relatively easy to optimize [14]. However, it has been demonstrated that steady-state cruise trajectory is not the optimal in reducing fuel consumption [15].…”

Section: Introductionmentioning

confidence: 99%

Trajectory Optimization of Hypersonic Periodic Cruise Using an Improved PSO Algorithm

Wang

Shi

et al. 2021

International Journal of Aerospace Engineering

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Periodic cruise has the potential to improve the fuel-saving efficiency of hypersonic cruise vehicles but is difficult to optimize. In this paper, hypersonic periodic cruise trajectory is analyzed theoretically and optimized by an improved Particle Swarm Optimization algorithm. Firstly, through theoretical analysis, it is determined that the optimal throttle curve can be parameterized as a switching function. Considering the optimization direction of algorithm, a new penalty function for the constraints of periodic cruise is proposed. Then, PSO algorithm is improved and applied in periodic cruise trajectory optimization. Numerical results demonstrate that optimized periodic cruise trajectory costs less fuel compared with steady-state cruise trajectory, and without computing gradient information, the proposed method is also robust. Finally, the fuel-saving mechanism of periodic cruise is explored by comparing with steady-state cruise, which reveals that periodic cruise trajectory has higher impulse and lift-drag ratio, but lower mechanical energy loss rate.

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Multiobjective optimization of steady-state cruise trajectory for a hypersonic vehicle

Cited by 6 publications

References 22 publications

A Two-Level Optimization Method for Hypersonic Periodic Cruise Trajectory

A Two-Level Optimization Method for Hypersonic Periodic Cruise Trajectory

Optimal Periodic Control of Hypersonic Cruise Vehicle: Trajectory Features

Trajectory Optimization of Hypersonic Periodic Cruise Using an Improved PSO Algorithm

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