In this paper, the adaptive impedance control proposed by Seul is studied in detail aiming at the disadvantages of traditional impedance control algorithm. In simulation experiment, above two methods are used to control the planar robot. The performance of merits of two algorithms is analyzed detailedly. From the final result of simulation, the adaptive impedance control algorithm has the performance of robustness, that is: it can perform well as though the mathematical model of robot is not accurate and it can work well in the bad working circumstance.