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Demonstration of Output Weighting in MIMO Control

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Dynamic Environments Testing, Volume 7 (SEM 2023)


Multiple-input/multiple-output (MIMO) vibration control often relies on a least-squares solution utilizing a matrix pseudo-inverse. While this is simple and effective for many cases, it lacks flexibility in assigning preference to specific control channels or degrees of freedom (DOFs). For example, the user may have some DOFs where accuracy is very important and other DOFs where accuracy is less important. This chapter shows a method for assigning weighting to control channels in the MIMO vibration control process. These weights can be constant or frequency-dependent functions depending on the application. An algorithm is presented for automatically selecting DOF weights based on a frequency-dependent data quality metric to ensure the control solution is only using the best, linear data. An example problem is presented to demonstrate the effectiveness of the weighted solution.

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Correspondence to Ryan Schultz .

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This chapter has been authored by an employee of National Technology & Engineering Solutions of Sandia, LLC under Contract No. DE-NA0003525 with the US Department of Energy (DOE). The employee owns all right, title, and interest in and to the chapter and is solely responsible for its contents. The US government retains and the publisher, by accepting the article for publication, acknowledges that the US government retains a non-exclusive, paid-up, irrevocable, world-wide license to publish or reproduce the published form of this chapter or allow others to do so, for US government purposes. The DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan

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Schultz, R. (2024). Demonstration of Output Weighting in MIMO Control. In: Harvie, J. (eds) Dynamic Environments Testing, Volume 7. SEM 2023. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham.

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  • Print ISBN: 978-3-031-34929-4

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