What is the best method for optimizing sensor placement for robustness?

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SUMMARY

The discussion focuses on optimizing sensor placement for robustness by determining the optimal angles (alpha, beta) relative to the x-direction. The user seeks to perform a sensitivity analysis to identify the angle combination that minimizes sensitivity to angular deviations. Various numerical methods such as Monte Carlo, perturbation analysis, and Taguchi methods are mentioned as potential approaches. The user requests specific examples and tutorials, particularly in MATLAB, to aid in their understanding and application of these methods.

PREREQUISITES
  • Understanding of sensitivity analysis in engineering contexts
  • Familiarity with numerical methods, specifically Monte Carlo and perturbation analysis
  • Basic knowledge of optimization techniques
  • Proficiency in MATLAB for implementing numerical methods
NEXT STEPS
  • Research "Monte Carlo methods for sensitivity analysis" to understand practical applications
  • Explore "perturbation analysis techniques" for optimizing sensor placement
  • Study "Taguchi methods for robust design" to enhance measurement setups
  • Find MATLAB tutorials on "sensitivity analysis and optimization" for hands-on learning
USEFUL FOR

Engineers, researchers, and designers involved in sensor placement and optimization, particularly those looking to enhance the robustness of measurement setups through sensitivity analysis.

hermano
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Hi,

For a measurement set-up I'm designing, I have to position two sensors which have to be placed at an angle (alpha, beta) wrt the x-direction (zero degrees). However, there is only one 'optimal' combination of angles (alpha-beta) in words of robustness. In order to determine this 'optimum', I want to do a sensitivity analysis how each possible combination of angles is sensitive to a small (angular) deviation i.e. in practice it is impossible to locate the two sensors perfect at the desired location. The combination of angles that is less sensitive to this variation of location is the optimal location I'm searching.

I searched on the internet which numerical method to use for this, however I'm not really experienced in optimization and stuff like that. I found methods like Monte Carlo, perturbation analyses, Taguchi etc. I'm reading already a several days but still I'm not sure which method to use for my problem. Anybody some suggestions which method is most appropriate? Examples (Matlab), tutorials etc.?

Any help or suggestion is welcome!

Thanks
 
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You haven't clearly described any mathematical problem. You didn't explain what quantity or quantities are to be optimized.
 

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