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帶有非均質剛柔耦合翼的無人機邊界控制

Boundary control for an unmanned aerial vehicle with a nonhomogeneous rigid–flexible coupling wing

  • 摘要: 隨著無人機技術的快速發展及工程應用需求的不斷增長,具有隱蔽性好、快速靈活及經濟性能好等許多優點的撲翼無人機在國民經濟生活中發揮著越來越重要的作用. 然而,受無人機使用環境限制及自身快速機動運行的特點,撲翼無人機的機翼通常存在連續高頻振動,這些不理想的振動會影響系統的穩定性及無人機使用壽命. 因此,本文研究帶有剛柔耦合翼的撲翼無人機的振動抑制及姿態控制問題. 首先,考慮外部干擾對撲翼無人機系統的影響,運用哈密頓原理,將由均質剛性連桿鏈接非均質柔性連桿組成的撲翼系統建模為無窮維分布參數系統. 隨后,基于反步法,設計兩個邊界控制律來鎮定系統. 運用魯棒控制策略,構建輔助輸入信號及干擾自適應律來抵消外部干擾的影響. 通過在無人機本體及剛柔耦合翼的鏈接處布置傳感器及執行器來抵消柔性翼的振動并調節剛性翼及柔性翼的姿態至期望角位置. 其后,運用李雅普諾夫穩定性理論嚴格證明了閉環系統的一致有界穩定性. 最后,開展數值仿真實驗來證明所設計控制方案的可行性及控制效果.

     

    Abstract: With the rapid development of unmanned aerial vehicle technology and the continuous growth of requirements demanded in engineering applications, flapping-wing unmanned aerial vehicles are playing an increasingly important role in the national economy and livelihood because of their advantages such as good concealment, rapid maneuverability, high flexibility, and excellent economic performance. However, due to the limitations of the operating environment and their rapid maneuvering, the wings of flapping-wing unmanned aerial vehicles often have continuous high-frequency vibrations. These undesirable vibrations can affect the stability of the system and reduce its service life. In addition, flapping-wing unmanned aerial vehicles adjust their attitude rapidly and accurately during operation to accomplish assigned tasks. Therefore, this study focuses on the issues of vibration suppression and attitude control for flapping-wing unmanned aerial vehicles with rigid–flexible coupling wings. First, considering the impact of external disturbances on a flapping-wing unmanned aerial vehicle, using the Hamiltonian principle, the flapping-wing system comprising the homogeneous rigid link connected with the heterogeneous flexible link is modeled as an infinite dimensional distributed parameter system. The dynamic equations of the flapping-wing unmanned aerial vehicle are expressed as nonhomogeneous partial differential equations coupled with ordinary differential equations. Afterward, based on the original model with infinite-dimensional state space, two boundary control laws are designed to stabilize the system of the flapping-wing unmanned aerial vehicle by applying the back-stepping method. Different from the traditional modal control methods, the proposed control scheme can avoid overflow instability and control all system modals. An auxiliary input signal and disturbance adaptive law are constructed to cancel the impact of external disturbances via the robust control strategy. The developed disturbance rejection technique greatly relaxes the assumptions about external disturbances. By arranging the sensors and actuators at the body of the flapping-wing unmanned aerial vehicle and the connection point of the rigid–flexible coupling wing, the vibrations of the flexible wing are regulated into the vicinity around the original position and the attitude angle positions of the rigid and flexible wings are adjusted to the desired angular positions. It is worth noting that the proposed boundary control scheme exhibits great feasibility, cost-effectiveness, and robustness. Using the Lyapunov stability theory, it is rigorously proven that the closed-loop system is uniformly bounded stable. Finally, numerical simulations are conducted to demonstrate the effectiveness and performance of the designed control scheme.

     

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