Abstract:Formation control holds significant importance in the research of heterogeneous multi - unmanned aerial vehicle (UAV) systems. It serves as a crucial technology for enabling task collaboration, information sharing, and path optimization among multiple UAVs. This technology finds extensive applications in complex scenarios such as military reconnaissance, disaster relief, environmental monitoring, and airspace management and control. To tackle the cooperative control problem of heterogeneous UAV formations consisting of quadrotor UAVs and vertical takeoff and landing fixed - wing UAVs, considering the deficiencies of traditional control methods, which rely on fixed communication topologies and are vulnerable to instability during topology switching resulting from communication disruptions, a distributed control framework based on consensus is proposed. A consensus control law is designed for fixed topologies. Additionally, a joint connectivity condition is introduced innovatively to transcend the limitations of traditional fixed topologies and facilitate the design of control laws for switching topologies. By integrating the axial independent decoupling model, the global asymptotic stability of the system is proven using Lyapunov theory. Numerical simulation verifications demonstrate that this approach can achieve asymptotic convergence and consensus under both fixed and switching topologies, thus offering an effective solution for the cooperative control of heterogeneous multi - UAV systems.