Robust control of electrically-stimulated muscle using polynomial H∞ design

Abstract The work is concerned with the design and experimental evaluation of robust feedback systems for the control of ankle moments generated by the electrical stimulation of the human calf muscle. This is an important part of the problem of designing feedback controllers for stabilising the upright posture of people with spinal cord injuries while they stand. Robust controllers are designed using the polynomial approach to mixed sensitivity H ∞ feedback design. The approach was found to give a convenient and transparent way to design for performance. Moreover, the method gives a useful indicator of the robustness properties of a given design. This is highly useful for experimental controller “tuning”.

[1]  Huibert Kwakernaak,et al.  Robust control and H∞-optimization - Tutorial paper , 1993, Autom..

[2]  M. Munih,et al.  Investigation of the Hammerstein hypothesis in the modeling of electrically stimulated muscle , 1998, IEEE Transactions on Biomedical Engineering.

[3]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[4]  Huibert Kwakernaak,et al.  Frequency Domain Solution of the Standard H∞ Problem , 1996 .

[5]  T. A. Perkins,et al.  Unsupported Standing of Paraplegics by Stimulation of the Plantarflexors: some Results from the Wobbler Apparatus , 1996 .

[6]  Marko Munih,et al.  Optimal control of ankle joint moment: toward unsupported standing in paraplegia , 1998, IEEE Trans. Autom. Control..

[7]  N de N Donaldson,et al.  FES standing: control by handle reactions of leg muscle stimulation (CHRELMS). , 1996, IEEE transactions on rehabilitation engineering : a publication of the IEEE Engineering in Medicine and Biology Society.

[8]  E. Henneman,et al.  RELATIONS BETWEEN STRUCTURE AND FUNCTION IN THE DESIGN OF SKELETAL MUSCLES. , 1965, Journal of neurophysiology.

[9]  M Munih,et al.  Apparatus and methods for studying artificial feedback-control of the plantarflexors in paraplegics without interference from the brain. , 1997, Medical engineering & physics.

[10]  W. Durfee,et al.  Methods for estimating isometric recruitment curves of electrically stimulated muscle , 1989, IEEE Transactions on Biomedical Engineering.

[11]  M Munih,et al.  Feedback control of unsupported standing in paraplegia--part I: optimal control approach. , 1997, IEEE transactions on rehabilitation engineering : a publication of the IEEE Engineering in Medicine and Biology Society.

[12]  Marko Munih,et al.  Feedback control of unsupported standing in paraplegia. II. Experimental results , 1997 .

[13]  H. Kwakernaak The polynomial approach to H ???-optimal regulation , 1991 .

[14]  H Gollee,et al.  Feedback control of unsupported standing. , 1999, Technology and health care : official journal of the European Society for Engineering and Medicine.

[15]  K. Hunt,et al.  Nonlinear modelling and control of electrically stimulated muscle: A local model network approach , 1997 .

[16]  J S Petrofsky,et al.  Outdoor bicycle for exercise in paraplegics and quadriplegics. , 1983, Journal of biomedical engineering.

[17]  A. Hammerstein Nichtlineare Integralgleichungen nebst Anwendungen , 1930 .

[18]  Henrik Gollee,et al.  A non-linear approach to modelling and control of electrically stimulated skeletal muscle , 1998 .

[19]  H. Kwakernaak,et al.  Recent progress in polynomial methods and Polynomial Toolbox for Matlab version 2.0 , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[20]  Robert Riener,et al.  Neuroprosthetics: from Basic Research to Clinical Applications , 1996 .