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Adaptive Sliding Mode Control of Non-linear Servo Systems With LuGre Friction Model  33























                            Figure 2.4 Identification of σ 0 = 12.























                            Figure 2.5 Identification of σ 1 = 2.5.



                            worm swarm optimization. The glowworm swarm algorithm is first used
                            to identify both static and dynamic parameters in the LuGre friction model,
                            and then an adaptive control with sliding mode control and finite-time
                            adaptive laws (the offline GSO identification results are used as the initial
                            values for the online adaptation) is designed to guarantee asymptotic con-
                            vergence of the tracking error and parametric estimation error. Simulation
                            results show that the proposed method is able to achieve better control and
                            identification performance.
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