scholarly journals Multi-Objective and Multi-Phase 4D Trajectory Optimization for Climate Mitigation-Oriented Flight Planning

Aerospace ◽  
2021 ◽  
Vol 8 (12) ◽  
pp. 395
Author(s):  
Alessio Vitali ◽  
Manuela Battipede ◽  
Angelo Lerro
Keyword(s):  
Global Warming ◽  
Trajectory Optimization ◽  
Operating Cost ◽  
Pseudospectral Method ◽  
Climate Mitigation ◽  
Cost Index ◽  
Chebyshev Pseudospectral Method ◽  
Multi Objective ◽  
Environmental Goals ◽  
Multi Phase

Aviation contribution to global warming and anthropogenic climate change is increasing every year. To reverse this trend, it is crucial to identify greener alternatives to current aviation technologies and paradigms. Research in aircraft operations can provide a swift response to new environmental requirements, being easier to exploit on current fleets. This paper presents the development of a multi-objective and multi-phase 4D trajectory optimization tool to be integrated within a Flight Management System of a commercial aircraft capable of performing 4D trajectory tracking in a Free Route Airspace context. The optimization algorithm is based on a Chebyshev pseudospectral method, adapted to perform a multi-objective optimization with the two objectives being the Direct Operating Cost and the climate cost of a climb-cruise-descent trajectory. The climate cost function applies the Global Warming Potential metric to derive a comprehensive cost index that includes the climate forcing produced by CO2 and non-CO2 emissions, and by the formation of aircraft-induced clouds. The output of the optimization tool is a set of Pareto-optimal 4D trajectories among which the aircraft operator can choose the best solution that satisfies both its economic and environmental goals.

scholarly journals Efficient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral Method

2019 ◽  
Vol 2019 ◽  
pp. 1-9 ◽  
Author(s):  
Chun-Mei Yu ◽  
Dang-Jun Zhao ◽  
Ye Yang
Keyword(s):  
Trajectory Optimization ◽  
Normal Load ◽  
Dynamic Pressure ◽  
Pseudospectral Method ◽  
Convex Programming Problem ◽  
Convex Constraints ◽  
Chebyshev Pseudospectral Method ◽  
Reentry Trajectory ◽  
Reentry Trajectory Optimization ◽  
Chebyshev Pseudospectral

A novel sequential convex (SCvx) optimization scheme via the Chebyshev pseudospectral method is proposed for efficiently solving the hypersonic reentry trajectory optimization problem which is highly constrained by heat flux, dynamic pressure, normal load, and multiple no-fly zones. The Chebyshev-Gauss Legend (CGL) node points are used to transcribe the original dynamic constraint into algebraic equality constraint; therefore, a nonlinear programming (NLP) problem is concave and time-consuming to be solved. The iterative linearization and convexification techniques are proposed to convert the concave constraints into convex constraints; therefore, a sequential convex programming problem can be efficiently solved by convex algorithms. Numerical results and a comparison study reveal that the proposed method is efficient and effective to solve the problem of reentry trajectory optimization with multiple constraints.

Multi-objective global optimal parafoil homing trajectory optimization via Gauss pseudospectral method

2012 ◽  
Vol 72 (1-2) ◽  
pp. 1-8 ◽  
Author(s):  
Limin Zhang ◽  
Haitao Gao ◽  
Zengqiang Chen ◽  
Qinglin Sun ◽  
Xinghui Zhang
Keyword(s):  
Trajectory Optimization ◽  
Pseudospectral Method ◽  
Multi Objective ◽  
Gauss Pseudospectral Method ◽  
Global Optimal

Trajectory Optimization of Hypersonic Vehicle Using Gauss Pseudospectral Method

2011 ◽  
Vol 110-116 ◽  
pp. 5232-5239 ◽  
Author(s):  
Rahman Tawfiqur ◽  
Hao Zhou ◽  
Yong Zhi Sheng ◽  
Ya Min Younis ◽  
Ke Nan Zhang
Keyword(s):  
Trajectory Optimization ◽  
Pseudospectral Method ◽  
High Accuracy ◽  
Hypersonic Vehicle ◽  
Computationally Efficient ◽  
Efficient Manner ◽  
Rocket Propulsion ◽  
Gauss Pseudospectral Method ◽  
Solid Rocket ◽  
Multi Phase

The paper presents a gauss pseudospectral solution for the trajectory optimization problem of a hypersonic vehicle. Determination of optimal trajectory of a hypersonic vehicle is of great interest due to the different path and boundary conditions that need to be met for high accuracy. Recent researches show that pseudospectral methods are capable of providing high accuracy in computationally efficient manner. The hypersonic vehicle optimized here is accelerated through solid rocket propulsion to mach 3.5 and after ejection of the rocket motor it is accelerated to mach 6 where it starts cruise for reaching target. The flight profile which is divided into boost, ascent, cruise and dive phase is optimized using multi-phase implementation programme of gauss pseudospectral method GPOPS. The optimization is carried out in 2D assuming non-rotating flat earth assumption and considering propulsion, dynamic and atmospheric constraints. The results are then analyzed for max range and max final velocity and hit angle. The results are found to be feasible.

scholarly journals Multi-objective Optimization of Vertical Profile Trajectory for Civil Aircraft

2021 ◽  
Vol 248 ◽  
pp. 02035
Author(s):  
Suxiao Wang ◽  
Wei Shi ◽  
Yingjie Liao
Keyword(s):  
Performance Optimization ◽  
Trajectory Optimization ◽  
Energy State ◽  
Operating Cost ◽  
Civil Aviation ◽  
Time Cost ◽  
Fuel Cost ◽  
Multi Objective ◽  
Comparison Results ◽  
Civil Aircraft

In order to further promote the sustainable development of civil aviation transportation industry, how to reduce the operating cost of civil aircraft has always been the focus of research. This paper establishes a performance optimization model of the aircraft on the vertical flight profile, which takes flight fuel cost and time cost as multi-objective functions and adopts energy state approximation method and optimal control theory. The trajectory of an aircraft in climbing, cruising and descent phases has been optimized using the established model and then simulated with the MATLAB software. The comparison results show that both fuel cost and time cost are significantly reduced through trajectory optimization.

Sign in / Sign up

Export Citation Format

Share Document