Fuzzy Dynamic Integral Sliding Mode Control Method for Reentrant Industrial Manufacturing Systems
An industrial manufacturing and integral sliding mode technology, applied in the field of control science and engineering, can solve the problems of unbalanced loads of multiple production scenarios, difficult to suppress nonlinear characteristics and random noise, etc., to achieve suppression of nonlinear characteristics and random noise, fast smooth running effect
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[0173] First, consider the following evolution equations for reentrant industrial manufacturing systems involving 2 production scenarios:
[0174]
[0175]
[0176] in , r 1 ( x , t )and r 2 ( x , t ) are the product densities of the first and second production scenarios at each degree of completion and time, respectively, u ( x , t ) is the control input.
[0177] It can be seen that the equilibrium point of the above production scenario is r 1 ( x , t )= r 2 ( x , t )=5, u ( x , t )=0. Therefore, through the method proposed by the present invention, the following controlled variables are constructed
[0178] .
[0179] Using the modeling method of the continuous stochastic model of the control equation provided by the present invention, the evolution trend of the controlled variable can be obtained as follows:
[0180]
[0181] in,
[0182]
[0183]
[0184] is a 2-dimensional Wiener process.
[0185] The nonlinear function of t...
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