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Page 12 of 16                   Wang et al. Intell Robot 2023;3(3):479-94  I http://dx.doi.org/10.20517/ir.2023.26






































                                      Figure 5. Phase diagram of joint angle       and joint angular velocity ¤     .




























                                                     Figure 6. Energy plot.


               show that satisfactory excessive controlchattering exists due to the fault of mass change. It can be seen that the
               designed adaptive sliding mode controller can meet the tracking requirement of the desired trajectory. Figure
               11 describes the comparisons of system input torque. The comparisons of joint errors with time are shown
               in Figure 12. It indicates that the joint error finally tends to 0, which shows that the system can converge to
               the sliding surface and the robot can realize asymptotically stable walking. These figures illustrate that the
               proposed adaptive SMC control system can achieve the purpose of tracking reference trajectories. Therefore,
               the tracking errors of the proposed RNN hybrid control system converge more quickly than without adaptive
               SMC.
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