Integral sliding mode repetitive controller suitable for periodic servo system
A repetitive controller and integral sliding mode technology, applied in the field of motor servo systems, can solve the problems of poor position tracking accuracy and large steady-state tracking error.
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[0054] The present invention will be further described below in conjunction with the drawings.
[0055] Reference Figure 1~Figure 10 , An integral sliding mode repetitive controller suitable for periodic servo systems. According to the operating process of the system state, sliding mode control can be divided into two stages: approaching motion and sliding mode motion. The system state convergence trajectory in the approaching motion is described by the approaching law. Further, in order to make the output position of the system converge within the neighborhood of the reference signal in a finite time, the present invention constructs a discrete approaching law
[0056] s k + 1 = s k - min { λ | s k | μ | s k | + ϵ , | s k | } sgn ( s k ) - - - ( 1 )
[0057] The formulas λ, μ and ε are the positive parameters of the reaching law, satisfying λ>ε, (1) contains linear and non-lin...
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