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66   Adaptive Identification and Control of Uncertain Systems with Non-smooth Dynamics


















                        Figure 4.1 Diagram of turntable servo test-rig.




                            rameter adaptation and thus the tracking performance. However, when
                            they are too large, the control action may be aggressive.
                        4) The parameters σ 2 ,σ 3 denote the σ-modification in the adaptive
                            laws [9]. However, large σ 2 ,σ 3 will suppress the parameter adaptation
                            speed. Moreover, σ 1 is used to avoid the singularity in control (4.18)
                            and to guarantee the smoothness of control actions.
                           Moreover, the structure of HONN is determined by increasing the
                        number of NN nodes until no further improvement of tracking accuracy
                        can be observed.



                        4.4 EXPERIMENTAL VALIDATION

                        4.4.1 Experimental Setup
                        To demonstrate the applicability of the proposed method, a turntable motor
                        servo system is employed as the test-rig [11](Fig. 4.1), which consists of a
                        permanent-magnet synchronous motor (PMSM, HC-UFS13), an encoder
                        and pulse width modulation (PWM) amplifiers in the motor drive card
                        (MR-J2S-10A), a digital signal processing (DSP, TMS3202812) performing
                        as the controller and a host PC Pentium IV 2.8 GHz PC operating for
                        display. The proposed control algorithms, including the encoder resolver,
                        are implemented via a C-program in CCS3.0 (Compiler CCS3.0 from
                        Texas Instruments) in DSP. In the tests, the angular position is measured
                        by using an encoder with a resolution of 800 divisions, and a quadrature
                        encoder pulse (QEP) circuit is used for capturing and converting the speed
                        and position information of the turntable encoders. A gear transmission
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