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For desired constraints the numerically optimal values of the design parameters (borehole depth, mass flow rate, number of boreholes, type and number of the heat pumps) were calculated.
In real life, there are a large number of problems where search space (i.e., all possible solution to problems including good solutions which fulfill desired constraints and bad solutions which do not fulfill desired constraints) is very large as compared to solution space.
The key idea is to do a local search around the current design or operation of a data centre to obtain better design or operation parameters subject to the desired constraints.
Traditional test apparatuses are especially designed to provide desired constraints and loading forces to specific joints, which leads to low testing efficiency and subsequently to high costs if tests of different joints are needed.
To generate the MAIE PTP trajectory, we employ a high-degree polynomial and compare with the trapezoidal, cycloidal and zero-jerk trajectories for various constraint conditions, which satisfy their corresponding desired constraints of angular displacement, speed, acceleration and jerk at the start and end times.
In this paper, the problem of designing an LPV state-feedback controller for uncertain LPV systems that can guarantee some desired bounds on the H∞ and the H2 performances and that satisfies some desired constraints on the closed-loop poles location is considered.
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The resulting Jacobian matrix is inverted to map the desired constraint variation to a corresponding posture variation.
A central controller produces, via pattern generators, reference signals that are the desired constrained position and velocity trajectories, and the desired constraint forces.
Using the pseudoinverse, noted by, the norm of the solution mapped by is minimal, that is, it is the smallest posture variation realizing the desired constraint variation: (3).
Because of this convexity, increasing values of will result in a monotonically increasing use of the constrained resource, so an efficient bisection search technique presented by Krongold [6] can be used to find the value of corresponding to the desired constraint.
Open image in new window Figure 6 Desired constraint space.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com