The failed satellites and space debris on Earth's orbit have raised significant global concerns about the safety of spacecraft. Traditional methods for remove space debris, such as capture by rigid manipulators, have several limitations. It has a large capture impact and a narrow range of tolerance. To address these challenges, a collaborative control approach employing a large flexible net and multi-satellites system is proposed in this paper. The system treats a large flexible net as the capture tool and four controllable satellites as actuating units. The system can capture non-cooperative targets with different shapes and mechanical properties, such as failed satellites and space debris. A coupled dynamic model of the large flexible net is built, which consists massless spring-damper components and mass elements. Furthermore, a sliding mode control is proposed for large flexible underactuated system. By controlling multi-satellites, the proposed method effectively reduces the flexible net oscillations, creates rapid tracks, and captures different non-cooperative targets rapidly. Simultaneously, in order to analyze the capture situation, a net closure detection method based on cross-sectional area is proposed. The simulation results demonstrate that the proposed method can successfully capture three typical non-cooperative targets with different shapes and contact mechanical properties in 20 s. These targets include a cubic satellite with a cross-section of 1 m2, irregular debris with a cross-section of 0.44 m2, and spherical junk with a cross-section of 0.28 m2.