Improved Gauss pseudo-spectral method-based piezoelectric ceramic driver optimum displacement control method
A technology of Gaussian pseudospectral method and piezoelectric ceramics, applied in the field of optimal displacement control of piezoelectric ceramic actuators based on improved Gaussian pseudospectral method
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[0076] The present invention will be further described below in conjunction with specific embodiment:
[0077] Such as figure 1 As shown, a method for optimal displacement control of a piezoelectric ceramic driver based on the improved Gaussian pseudospectral method described in this embodiment includes the following steps:
[0078] S1: Use the electromechanical coupling nonlinear dynamical system model to mathematically model the piezoelectric ceramic driver, and obtain the model of the piezoelectric ceramic driver, as follows:
[0079] The performance index function is:
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[0081] The constraints are:
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[0083] in,
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[0087] Q and R represent the weight matrix, is the derivative of X, X is the state variable, x is the actual output displacement, for speed, is the acceleration, u is the control variable, x des is the expected displacement, b is the damping coefficient, k is the spring stiffness, m is the equiva...
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