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Designing Instrumentation for Control

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Abstract

For linear time-invariant systems with full order feedback controllers, this paper completely solves the problem of selecting sensor and actuator precisions required to yield specified upper bounds on control covariances, output covariances, and precision constraints. Moreover, the paper proves that this problem is convex. The contribution here is that selection of sensors and actuators can now be a part of the control design problem, in lieu of the classical control problem, where sensor and actuator resources have already been specified before the “control” problem is defined. Furthermore, an ad hoc algorithm is given to select which sensors and actuators should be selected for the final control design that constrains control covariance, output covariance, and a financial cost constraint (where we assume that precision is linearly related to financial cost). We label this the Economic Design Problem.

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Author information

Authors and Affiliations

  1. Xerox Research Center, Webster, NY, USA

    Faming Li

  2. Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA, 92093-0411, USA

    Maurício C. de Oliveira & Robert E. Skelton

Authors
  1. Faming Li
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  2. Maurício C. de Oliveira
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  3. Robert E. Skelton
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Corresponding author

Correspondence to Faming Li .

Editor information

Editors and Affiliations

  1. Delft Center for Systems and Control, Delft University of Technology, Mekelweg 2, Delft, 2628 CD, Netherlands

    Paul M.J. Hof

  2. Faculty of Civil Engineering and, Geosciences, Delft University of Technology,, Stevinweg 1, Delft, 2628 CN, Netherlands

    Carsten Scherer

  3. Delft Center for Systems and Control, Delft University of Technology, Mekelweg 2, Delft, 2628 CD, Netherlands

    Peter S.C. Heuberger

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© 2009 Springer Science+Business Media, LLC

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Li, F., de Oliveira, M.C., Skelton, R.E. (2009). Designing Instrumentation for Control. In: Hof, P., Scherer, C., Heuberger, P. (eds) Model-Based Control:. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-0895-7_5

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  • DOI: https://doi.org/10.1007/978-1-4419-0895-7_5

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  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-0894-0

  • Online ISBN: 978-1-4419-0895-7

  • eBook Packages: EngineeringEngineering (R0)

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