A Hybrid Optimal Control Approach to Fuel-Efficient Aircraft Conflict Avoidance

Soler, Manuel; Kamgarpour, Maryam; Lloret, Javier; Lygeros, John

doi:10.1109/tits.2015.2510824

Cited by 42 publications

(20 citation statements)

References 38 publications

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“…To date, there have been few discussions regarding the performance of the initial solution of the GPM, because even if the initial solution is not the optimal, it is usually a feasible solution, for example, when it is applied in satellite mission planning [29,30]. A better initial solution can greatly improve the efficiency of the subsequent optimization process [31]. Many non-convex constraints are considered in the trajectory planning problem, such as the attitude constraints, platform maneuver constraints, obstacle avoidance constraints, and so on.…”

Section: Discussion Of the Initial Solution Of Trajectory Optimizationmentioning

confidence: 99%

A Hierarchical Cooperative Mission Planning Mechanism for Multiple Unmanned Aerial Vehicles

et al. 2019

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In this paper, the cooperative multi-task online mission planning for multiple Unmanned Aerial Vehicles (UAVs) is studied. Firstly, the dynamics of unmanned aerial vehicles and the mission planning problem are studied. Secondly, a hierarchical mechanism is proposed to deal with the complex multi-UAV multi-task mission planning problem. In the first stage, the flight paths of UAVs are generated by the Dubins curve and B-spline mixed method, which are defined as “CBC)” curves, where “C” stands for circular arc and “B” stands for B-spline segment. In the second stage, the task assignment problem is solved as multi-base multi-traveling salesman problem, in which the “CBC” flight paths are used to estimate the trajectory costs. In the third stage, the flight trajectories of UAVs are generated by using Gaussian pseudospectral method (GPM). Thirdly, to improve the computational efficiency, the continuous and differential initial trajectories are generated based on the “CBC” flight paths. Finally, numerical simulations are presented to demonstrate the proposed approach, the designed initial solution search algorithm is compared with existing methods. These results indicate that the proposed hierarchical mission planning method can produce satisfactory mission planning results efficiently.

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Section: Discussion Of the Initial Solution Of Trajectory Optimizationmentioning

confidence: 99%

A Hierarchical Cooperative Mission Planning Mechanism for Multiple Unmanned Aerial Vehicles

et al. 2019

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“…It is well-known that the Hamilton-Jacobi-Bellman has been successfully utilized for optimal control of unknown systems in the presence of disturbances [4], actuator saturation [5], and uncertain dynamics [6]. An optimal control based on only Bellman function has been presented in [7], in which the control model is a combination between the conventional function of Bellman and the term of Meyer model.…”

Section: Introductionmentioning

confidence: 99%

A new optimal sliding mode controller with adjustable gains based on Bolza-Meyer criterion for vibration control

Phu

Van

et al. 2020

Journal of Sound and Vibration

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In this study, a new optimal control law associated with sliding mode control is developed based on basis of the Bolza-Meyer criterion. The salient characteristic of the proposed controller is to have gains adjustability, where the gain values can be larger than one. This leads to enhancing control system performances with a given cost function. It should be pointed out that conventional optimal controllers usually have constant gains of one or less than one, and hence the control system performances such as the requirement on convergence speed may not be satisfactory. After formulating the proposed optimal control law for polynomial time-varying control systems, computer simulations are carried out to validate the benefits of the proposed approach. Firstly, as an illustrative example, three crucial index values including control gain index, main input control index and the state index are investigated. Secondly, the proposed controller is applied to a vehicle seat suspension system with magneto-rheological damper to evaluate vibration control performances. In simulation studies, a comparison between the proposed approach and a state-of-the-art optimal controller is undertaken to demonstrate additional benefits such as less power and faster convergence of the proposed optimal controller.

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“…One of the controversial problems in switching systems is the optimal control problem (OCP). Hybrid switching system optimal control problems (HSSOCP) arises in a range of applications such as aircraft planning, 8,9 humanoid robots, 10‐12 space mission control, 13‐16 hybrid vehicles, 17‐19 hybrid power system, 20 pesticide scheduling, 21 fermentation process, 22 and so on. Optimal control for an HSS is to optimally find three important items: continuous control input trajectory for different modes, optimal mode sequence, and optimal switching times.…”

Section: Introductionmentioning

confidence: 99%

A gradient algorithm for solution of the optimal control problem for hybrid switching systems

Salehi

Tavassoli

2020

Optim Control Appl Methods

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Summary In this article, an algorithm is presented for solving the optimal control problem for the general form of a hybrid switching system. The cost function comprises terminal, running and switching costs. The controlled system is an autonomous hybrid switching system with jumps either at some switching times or some time varying switching manifolds. The proposed algorithm is an extension of the first‐order gradient method for the conventional optimal control problem. The algorithm requires a low computational effort. The system's dynamical equations together with a set of algebraic equations are solved at each iteration in order to find the descent direction. The convergence of algorithm is proved and examples are provided to demonstrate the efficiency of the algorithm for different types of hybrid switching system optimal control problems.

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A Hybrid Optimal Control Approach to Fuel-Efficient Aircraft Conflict Avoidance

Cited by 42 publications

References 38 publications

A Hierarchical Cooperative Mission Planning Mechanism for Multiple Unmanned Aerial Vehicles

A Hierarchical Cooperative Mission Planning Mechanism for Multiple Unmanned Aerial Vehicles

A new optimal sliding mode controller with adjustable gains based on Bolza-Meyer criterion for vibration control

A gradient algorithm for solution of the optimal control problem for hybrid switching systems

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