IDEAS home Printed from https://ideas.repec.org/h/spr/spochp/978-3-319-30785-5_5.html
   My bibliography  Save this book chapter

Optimal Control for Applications in Medical and Rehabilitation Technology: Challenges and Solutions

In: Advances in Mathematical Modeling, Optimization and Optimal Control

Author

Listed:
  • Katja Mombaur

    (Heidelberg University)

Abstract

This paper gives an overview of the mathematical background and possible applications of optimal control and inverse optimal control in the field of medical and rehabilitation technology, in particular in human movement analysis, therapy and improvement by means of appropriate medical devices. One particular challenge in this area is the formulation of suitable subject-specific models of motions for healthy and impaired humans including skeletal multibody dynamics and potentially neuromuscular components, and their combination with models of the technical components. The formulation of hybrid multi-phase optimal control problems arising in this context involves non-standard elements such as the open- or closed loop stability of the dynamic motion. Efficient methods for the solution of optimal control and inverse optimal control are discussed and particular difficulties of this problem class are highlighted. In addition, we present several example applications of these methods in the development of mobility aids for geriatric patients, the optimization-based design of exoskeletons, the analysis of running motions with prostheses, the optimal functional electrical stimulation of hemiplegic patients, as well as stability studies for different types of movement.

Suggested Citation

  • Katja Mombaur, 2016. "Optimal Control for Applications in Medical and Rehabilitation Technology: Challenges and Solutions," Springer Optimization and Its Applications, in: Jean-Baptiste Hiriart-Urruty & Adam Korytowski & Helmut Maurer & Maciej Szymkat (ed.), Advances in Mathematical Modeling, Optimization and Optimal Control, pages 103-145, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-30785-5_5
    DOI: 10.1007/978-3-319-30785-5_5
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:spochp:978-3-319-30785-5_5. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.