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Using a qualitative method, a new controller is designed as an approximate solution to an optimisation problem.
Relying on an efficiency criterion, we derive an algorithm as an approximate solution which uses incremental greedy inference processes.
If only the first terms of the asymptotic solution of all variables are taken as an approximate solution, the result is identical with that obtained from the Modal Strain Energy MSEE) Method.
In particular, the slip velocity at the wall is identified as an approximate solution of the integral equation for the vorticity source and the corresponding error estimate is also discussed.
The solutions derived here can serve as benchmark solutions for certain classes of anisotropic micropolar medium, and also can be used as an approximate solution for a micropolar medium with general material properties without any constraint conditions.
The main ideas are to reduce a problem space that is difficult to search to one that is relatively easy to explore, to use the optimal solution from the reduced space as an approximate solution to the original problem, and to iteratively apply multiple reductions to progressively find better solutions.
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Mathematically, it can be stated as finding an approximate solution to an overdetermined system of linear equations.
As a result, an approximate solution of the known optimization problem will give a feasible solution of the original problem.
The undetermined fuzzy coefficients method is to seek an approximate solution as y ˜ N ( t ) = ∑ k = 0 N θ ˜ k ϕ k ( t ), (3.1).
As an alternative, we employ an approximate solution strategy.
These last equations either will determine u1 and u2 or else will serve as a starting point for finding an approximate solution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com