Intelligent mechatronic control suspension system based on quantum soft computing
A control system and suspension system technology, applied in the field of control systems, can solve problems such as poor control quality and difficulty in generating training signal approximations
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example 1
[0165] Example 1: Assume that X(t) is uniformly distributed, ie
[0166] p ( x ) = 1 2 Δ , - Δ ≤ x ≤ Δ - - - ( 2.10 )
[0167] Substitute (2.10) into (2.8)
[0168] D. 2 (x)=α(Δ 2 -x 2 ) (2.11)
[0169] In this case, given the desired Ito equation
[0170] dX = αXdt + α ( Δ 2 - X 2 ) dB ( t ) - - - ( 2.12 )
[0171]Interestingly, ...
example 2
[0174] Example 2: Make X(t) Rayleigh distributed
[0175] p(x)=γ 2 xexp(-γx), γ>0, 0≤x<∞ (2.14)
[0176] Its concentrated form Y(t)=X(t)-2 / γ has a probability density:
[0177] p(y)=γ(γy+2)exp(-γy+2), -2 / γ≤y<∞ (2.15)
[0178] From equation (2.8)
[0179] D 2 ( y ) = 2 α γ ( y + 2 γ ) - - - ( 2.16 )
[0180] The lto equation for Y(t) is
[0181] dY = - αYdt + [ 2 α γ ( Y + 2 γ ...
example 3
[0185] Example 3: Consider a family of probability densities that obey the following equation:
[0186] d dx p ( x ) = J ( x ) p ( x ) - - - ( 2.19 )
[0187] After integrating equation (2.19), we get
[0188] p(x)=C 1 exp(∫J(x)dx) (2.20)
[0189] where C 1 is the standardized constant, in this case
[0190] D. 2 (x)=-2αexp[-J(x)]∫xexp[J(x)]dx (2.21)
[0191] A number of special circumstances should be noted, so that
[0192] J(x)=-γx 2 -δx 4 , -∞
[0193] where γ is arbitrary if δ>0, and substituting equation (2.22) into equation (2.8) gives
[0194] D 2 ( x ) = ...
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