Establishment of UAV formation flight using control Vector parameterization and sequential convex programming
Formation flight of multiple Unmanned Aerial Vehicles (UAVs) could provide an effective, efficient yet low cost alternative to existing technologies. This paper addresses the energy-optimal establishment of UAV formation flight that shall satisfy final configuration constraints. First, the problem o...
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| Vydáno v: | Chinese Control Conference s. 2559 - 2564 |
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| Médium: | Konferenční příspěvek Journal Article |
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TCCT
01.07.2016
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| ISSN: | 1934-1768 |
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| Abstract | Formation flight of multiple Unmanned Aerial Vehicles (UAVs) could provide an effective, efficient yet low cost alternative to existing technologies. This paper addresses the energy-optimal establishment of UAV formation flight that shall satisfy final configuration constraints. First, the problem of formation establishment is formulated as an energy-optimal control problem which is constrained by the nonlinear dynamics. Then, the optimal control problem is solved using a direct method. In this direct method the original problem is transcribed into a sequence of convex optimization problems via the control vector parameterization approach. After that, the sequential convex programming (SCP) technology is employed to derive the optimal solution. Essentially, each instance of SCP is a quadratic programming problem subject to linear constraints that can be solved very efficiently. In the end, the proposed method is applied to the establishment of V formation for three UAVs, where the free open source solver CVX is exploited. By comparison with the global optimization technique provided in MATLAB, the solution converges very fast to the global minimum. |
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| AbstractList | Formation flight of multiple Unmanned Aerial Vehicles (UAVs) could provide an effective, efficient yet low cost alternative to existing technologies. This paper addresses the energy-optimal establishment of UAV formation flight that shall satisfy final configuration constraints. First, the problem of formation establishment is formulated as an energy-optimal control problem which is constrained by the nonlinear dynamics. Then, the optimal control problem is solved using a direct method. In this direct method the original problem is transcribed into a sequence of convex optimization problems via the control vector parameterization approach. After that, the sequential convex programming (SCP) technology is employed to derive the optimal solution. Essentially, each instance of SCP is a quadratic programming problem subject to linear constraints that can be solved very efficiently. In the end, the proposed method is applied to the establishment of V formation for three UAVs, where the free open source solver CVX is exploited. By comparison with the global optimization technique provided in MATLAB, the solution converges very fast to the global minimum. |
| Author | Yan, Jie Guo, Juan Chu, Jing |
| Author_xml | – sequence: 1 givenname: Juan surname: Guo fullname: Guo, Juan email: guojuanchujing@163.com organization: Northwestern Polytechnical University, Xi'an 710072, China – sequence: 2 givenname: Jing surname: Chu fullname: Chu, Jing organization: Northwestern Polytechnical University, Xi'an 710072, China – sequence: 3 givenname: Jie surname: Yan fullname: Yan, Jie organization: Northwestern Polytechnical University, Xi'an 710072, China |
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| Snippet | Formation flight of multiple Unmanned Aerial Vehicles (UAVs) could provide an effective, efficient yet low cost alternative to existing technologies. This... |
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| SubjectTerms | Control Vector Parameterization Convexity Couplings Formations Mathematical analysis Mathematical programming Matlab Nonlinear dynamical systems Optimal control Optimization Parametrization Programming Quadratic programming Sequential Convex Programming UAV formation flight Unmanned aerial vehicles |
| Title | Establishment of UAV formation flight using control Vector parameterization and sequential convex programming |
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