Minimum Cost Constrained Input-Output and Control Configuration Co-Design Problem: A Structural Systems Approach
Sergio Pequito, Soummya Kar, George Pappas

Citation
Sergio Pequito, Soummya Kar, George Pappas. "Minimum Cost Constrained Input-Output and Control Configuration Co-Design Problem: A Structural Systems Approach". American Control Conference 2015, 4099-4105, 1, July, 2015.

Abstract
In this paper, we study the minimal cost constrained input-output (I/O) and control configuration co-design problem. Given a linear time-invariant plant, where a collection of possible inputs and outputs is known a priori, we aim to determine the collection of inputs, outputs and communication among them incurring in the minimum cost, such that desired control performance, measured in terms of arbitrary pole placement capability of the closed-loop system, is ensured. We show that this problem is NP-hard in general (in the size of the state space). However, the subclass of problems, in which the dynamic matrix is irreducible, is shown to be polynomially solvable and the corresponding algorithm is presented. In addition, under the same assumption, the same algorithm can be used to solve the minimal cost constrained I/O selection problem, and the minimal cost control configuration selection problem, individually. In order to illustrate the main results of this paper, some simulations are also provided.

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• HTML

  Sergio Pequito, Soummya Kar, George Pappas. <a
  href="http://www.terraswarm.org/pubs/382.html"
  >Minimum Cost Constrained Input-Output and Control
  Configuration Co-Design Problem: A Structural Systems
  Approach</a>, American Control Conference 2015,
  4099-4105, 1, July, 2015.

• Plain text

  Sergio Pequito, Soummya Kar, George Pappas. "Minimum
  Cost Constrained Input-Output and Control Configuration
  Co-Design Problem: A Structural Systems Approach".
  American Control Conference 2015, 4099-4105, 1, July, 2015.

• BibTeX

  @inproceedings{PequitoKarPappas15_MinimumCostConstrainedInputOutputControlConfiguration,
      author = {Sergio Pequito and Soummya Kar and George Pappas},
      title = {Minimum Cost Constrained Input-Output and Control
                Configuration Co-Design Problem: A Structural
                Systems Approach},
      booktitle = {American Control Conference 2015},
      pages = {4099-4105},
      day = {1},
      month = {July},
      year = {2015},
      abstract = {In this paper, we study the minimal cost
                constrained input-output (I/O) and control
                configuration co-design problem. Given a linear
                time-invariant plant, where a collection of
                possible inputs and outputs is known a priori, we
                aim to determine the collection of inputs, outputs
                and communication among them incurring in the
                minimum cost, such that desired control
                performance, measured in terms of arbitrary pole
                placement capability of the closed-loop system, is
                ensured. We show that this problem is NP-hard in
                general (in the size of the state space). However,
                the subclass of problems, in which the dynamic
                matrix is irreducible, is shown to be polynomially
                solvable and the corresponding algorithm is
                presented. In addition, under the same assumption,
                the same algorithm can be used to solve the
                minimal cost constrained I/O selection problem,
                and the minimal cost control configuration
                selection problem, individually. In order to
                illustrate the main results of this paper, some
                simulations are also provided.},
      URL = {http://terraswarm.org/pubs/382.html}
  }
  

Posted by Barb Hoversten on 1 Oct 2014.
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