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Landmarks and Triangulation in Navigation                  171

                               (a)                    SLSE result of batch filter
                                  1600
                                  1400

                                  1200
                                 y_axle (mm)  1000
                                   800
                                   600

                                   400                                         Actual positions
                                                                               Estimated
                                   200
                                                                               positions
                                    0                                          Landmark
                                    – 1500  – 1000  – 500  0     500    1000   1500   2000
                                                           x_axle (mm)

                               (b)                   SLSE result of recursive filter
                                  1800
                                  1600
                                  1400
                                  1200
                                 y_axle (mm)  1000

                                   800
                                   600
                                   400                                    Actual positions
                                                                          Estimated
                                   200
                                                                          positions
                                    0                                     Landmark
                                    – 1500  – 1000  – 500  0     500    1000   1500   2000
                                                           x_axle (mm)

                              FIGURE 4.10 Single landmark–based LSE.


                              moving along a straight line at different distances to the landmark that was
                              fixed on the wall. After landmark recognition, the robot’s position is calculated
                              through the triangulation method described in Section 4.2 [3,12,16].
                                 Then LSE is implemented in two ways, namely batch processing and recurs-
                              ive processing. The experimental results for single landmark are presented
                              in Figure 4.10. In contrast, the experimental results for dual landmarks are
                              presented in Figure 4.11.




                              © 2006 by Taylor & Francis Group, LLC



                                FRANKL: “dk6033_c004” — 2006/3/31 — 16:42 — page 171 — #23
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