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222                                       Computed-Torque Control






























            Figure 4.4.17: PID classical joint control with torque limits of ±35 N-m. Torque
            inputs in N-m.




                                                                          (4)



            The results of the simulation with these limits are shown in Figure 4.4.16 and
            are terrible. The torque is shown in Figure 4.4.17.
              In Section 4.5 we show how to ameliorate the effects of actuator
            saturation by using  antiwindup protection  in a digital controller. The
            simulation results for PD control with actuator limits are not as bad as the
            ones just shown for PID control, since saturation limits have less effect if
            no integrator is present.


            4.5 Digital Robot Control

            Many robot control schemes are complicated and involve a great deal of
            computation for the evaluation of nonlinear terms. Therefore, they are
            implemented as digital control laws on digital signal processors (DSPs). Certain






            Copyright © 2004 by Marcel Dekker, Inc.
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