Abstract: Abstract: The picking operation of agricultural fruit and vegetable harvesting robot is the key link to realize the automatic harvesting of fresh fruits and vegetables. The stable holding of fruits can be achieved by controlling the output grasping force of the end actuator. However, due to the complexity and particularity of the working object, the harvesting robot is easy to cause fruit damage when grasping fruit, and the success rate of grasping is low. Therefore, to reduce the mechanical damage, improve the quality of fruit picking, and realize the compliance grasping of robot picking is one of the key points of the research of harvesting robot. In order to reduce the damage caused by apple harvesting and achieve a more compliance harvesting, the mechanical characteristics of apple during the process of grasping and the improvement of impedance control algorithm were studied. Firstly, Burgers viscoelastic model was used to characterize the rheological properties of apples, 10 groups of apple samples were tested for uniaxial compression creep, and through Burgers creep model to fit the test data, the viscoelastic parameters of the creep model of apple were obtained. The grasping process was divided into three stages: constant loading, overload deceleration and stress relaxation. On this basis, the change equation of apple deformation with time was obtained, and the change curves of apple deformation with time and the relationship between fruit contact force and deformation under different grasping velocity were made by using the change equation of apple deformation with time in three stages. Secondly, the end-effector drive control system was modeled, and the mathematical model of the end-effector was obtained. Considering the contact force and deformation of apple change with time in the process of grasping, the apple deformation was equivalent to the forward displacement of the end effector finger, and it was the expected input of the impedance control system. Aiming at the uncertainty of the target apple's stiffness and position parameters, the contact force model under grasping environment with the grasping speed of 3 mm/s was solved. Finally, the influence of inertia parameters, damping parameters and stiffness parameters on the contact force was analyzed. Based on the hyperbolic secant function and the influence of three impedance parameters, three impedance parameters self-tuning functions were constructed to complete the design of the improved impedance control system. The simulation and experimental results show that it was feasible to simulate the grasping process of apple with the end-effector by solving the desired position according to the fruit grasping model and the change law of deformation with time. Besides, to a certain extent, the established contact force model of grasping environment could avoid the error caused by simplifying the environment model to the first order model, and the three functions designed could meet the requirements of adaptive impedance control. The desired force obtained by the improved impedance control was smoother, the overshoot was about 2.3%. The response speed was faster, and the adjustment time of contact force was shorter about 0.48 s. The contact force overshoot was about 2%, which was 37.5% less than that of the original force-based impedance control, and had obvious advantages.