Namhoon Cho |
Research Fellow, Centre for Autonomous and Cyber-Physical Systems, School of Aerospace, Transport and Manufacturing, Cranfield University, MK43 0AL, Cranfield, Bedfordshire, United Kingdom. | Youngil Kim |
PhD Student, Department of Aerospace Engineering, Seoul National University, 08826, Seoul, Republic of Korea. | Hyo-Sang Shin |
Professor of Guidance, Control, and Navigation Systems, Centre for Autonomous and Cyber-Physical Systems, School of Aerospace, Transport and Manufacturing, Cranfield University, MK43 0AL, Cranfield, Bedfordshire, United Kingdom. | Youdan Kim |
Professor, Department of Aerospace Engineering, Institute of Advanced Aerospace Technology, Seoul National University, 08826, Seoul, Republic of Korea. |
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Abstract:
This study presents a guidance method for flight vehicles gliding in the vertical plane to achieve desired position and velocity at the final time. The proposed guidance algorithm combines two decoupled elements to plan future flight trajectories satisfying the given constraints at each guidance update cycle: i) parametric path generator, and ii) approximate speed predictor. The parametric path generator is capable of producing an altitude profile as a parametric function of downrange by solving a convex optimisation problem considering only the shape properties of a flight path. An approximate method for predicting the future speed history endows the proposed guidance algorithm with the capability to address energy management objectives in trajectory planning. Provided that an altitude profile is specified by the parametric path generator and the lift-to-drag ratio model is known, the approximation neglecting gravitational acceleration turns the speed dynamics along the given path into a scalar linear first order ordinary differential equation, the form which admits a closed-form solution that can be represented by definite integrals. In this way, the proposed method opens a possibility to update the trajectory in flight to achieve the desired final speed by reducing the computational load due to speed prediction task, although the predicted speed contains approximation errors of certain degrees.
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