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A nonlinearly improved constrained variable metric solver was used.
The weighted sum of structural mass, acoustic radiation energy of the mechanism, and energy cost of the control system is taken as the performance index, and optimization is carried out based on the modified constrained variable metric method.
If a constrained variable is set to 1 all members of its constrained set must be set to 0. In the above example, setting forces and to zero.
To regulate the conservatism of the solution, a constrained variable Γ is employed to control the total electricity price offset, Γ ≤ 24.
This paper introduces an optimization design method for a three-degree of freedom (three-DOF) ultrasonic motor stator using constrained variable metric algorithm (CVMA).
(2) If a constrained variable is set to 1 all members of its constrained set must be set to 0. In the above example, setting forces and to zero.
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It is imperative to note that due to a large number of unknown and/or poorly constrained variables, these calculations should only be regarded as a first order approximation.
The control problem of fluid catalytic cracking (FCC) units is a challenging task due to its model complexity, non-linear dynamics, constrained variables and cross-coupling interaction between inputs and outputs.
Constrained variables: (overline{P}_{text{first}}) and (overline{P}_{text{second}}) are the mean contact pressures on the first and the second sealing surface, which are the key factors to realize the sealing in SPMC, and their minimum value should be higher than 361 MPa.
Open image in new window Figure 10 Finite element model (1) Constrained variables: (overline{P}_{text{first}}) and (overline{P}_{text{second}}) are the mean contact pressures on the first and the second sealing surface, which are the key factors to realize the sealing in SPMC, and their minimum value should be higher than 361 MPa.
Baseline values of parameters are determined by comparing model-generated output with experimental results in the literature [ 2- 8, 25] and by constraining variable values in the range of zero and one.
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