tailieunhanh - Advanced Strategies For Robot Manipulators Part 6

Tham khảo tài liệu 'advanced strategies for robot manipulators part 6', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Sliding Mode Control of Robot Manipulators via Intelligent Approaches 141 Fig. 2. The membership functions of the output Kfuz S s NB NS Z PS PB N B B M S B Z B M S M B P B S M B B Table 1. The fuzzy rule base for tuning Kfuzz Simulation example . In order to show the effectiveness of the proposed control law it is applied to a two-link robot with the following parameters M q a p 2ycos q2 p Y cos q2 p Y cos q2 p 22 G q -Yq 2 sin q2 y41 sin q2 -Y i71 q2 sin q2 0 23 aS1 cos q1 Y cos q1 q2 Y 1cos q1 q2 24 c q q where a m1 m2 a2 p m Y m2a1a2 s g a1 and m1 m2 a1 .7 a2 .5are the masses and lengths of the first and second links respectively. The masses are assumed to be in the end of the arms and the gravity acceleration is considered as g . Moreover the masses are considered with 10 uncertainty as follow m1 m1a Amv AmJ .4 m2 m2 Am2 Am2 .2 25 1 . 4 1. 1 w A 1 1 mt 1 . where m 4 and m2ũ 2 and M c and G are estimated. The desired state trajectory is qd 1 - cos nt 2cosnt 26 142 Advanced Strategies for Robot Manipulators and the disturbance torque is considered as 2nt T 27 which leads to TD The design parameters are determined as follow 15 0 40 0 21 0 15. A 1 0 40 28 Values of p and n are selected as p and n T . Moreover the factors N and Nv are selected as 50 0 5 0 N N . 0 5. v 0 10 29 In order to show the improvement due to the proposed method the simulation results of applying this method are compared with the related results of the conventional SMC. The tracking error and control law in the case of conventional SMC have been shown in Fig. 3 and Fig. 4 respectively. The corresponding graphs for the case of applying fuzzy SMC-PID are also provided in Fig. 5 and 6. time sec Fig. 3. The tracking errors in the case of using conventional SMC As it can be seen from these figures the proposed fuzzy SMC-PID has faster response and less tracking error in comparison with conventional SMC. In order to show more clearly the difference .

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