TR2016-076

On extension of a gradient-based co-design algorithm to linear descriptor systems

    •  Wang, Y., Wang, Y.-S., Bortoff, S.A., "On extension of a gradient-based co-design algorithm to linear descriptor systems", World Congress on Intelligent Control and Automation (WCICA), DOI: 10.1109/​WCICA.2016.7578834, June 2016, pp. 2388-2393.
      BibTeX TR2016-076 PDF
      • @inproceedings{Wang2016jun,
      • author = {{Wang, Yebin and Wang, Yuh-Shyang and Bortoff, Scott A.}},
      • title = {On extension of a gradient-based co-design algorithm to linear descriptor systems},
      • booktitle = {World Congress on Intelligent Control and Automation (WCICA)},
      • year = 2016,
      • pages = {2388--2393},
      • month = jun,
      • doi = {10.1109/WCICA.2016.7578834},
      • url = {https://www.merl.com/publications/TR2016-076}
      • }
  • MERL Contacts:
  • Research Area:

    Control

Abstract:

As a holistic approach, optimal co-design of a control system determines both the plant and controller simultaneously to optimize certain performance metrics. Prior co-design work typically assume a control system in the classic state space form, and thus compromise the range of applicability. This paper considers co-design for control systems in the linear descriptor form, with the purpose to minimize the H2 norm of a closedloop transfer function. We demonstrate that the gradient of the cost function with respect to plant parameters can be computed analytically, and thus extend the previous gradient-based codesign algorithm to the linear descriptor system case.