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Identification and Inverse Model Based Control of Uncertain Systems With Backlash  271




















                            Figure 17.5 Comparison with the methods in literature [13].



















                            Figure 17.6 Comparison with the methods in literature [14].



                            and 17.6. In the output tracking profiles shown in Fig. 17.5,the solidlineis
                            the desired trajectory, the dotted line and dash line are the tracking control
                            performance of the control method reported in this chapter and the control
                            method reported in [13], respectively. The corresponding tracking errors
                            are also shown in Fig. 17.5. It can be seen that the proposed control with
                            identified inverse model compensation can achieve better control response
                            than that of [13]. A similar conclusion can be drawn from Fig. 17.6,where
                            the control output profiles and the tracking errors of the proposed control
                            and that of the control method reported in [14]are provided.Fromthese
                            simulation results, we can conclude that the proposed identification method
                            based on DPPR can reconstruct the dynamics of backlash as well as the
                            linear part very well, which in turn helps achieve better control response
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