A polynomial H-controller for muscle moment control

RP Jaime, KJ Hunt, H Gollee - 1999 European Control …, 1999 - ieeexplore.ieee.org
RP Jaime, KJ Hunt, H Gollee
1999 European Control Conference (ECC), 1999ieeexplore.ieee.org
The paper deals with the application of H∞-design of a moment controller for the
plantarflexor muscle group. This is part of a programme of work in rehabilitation engineering
which aims to provide control of unsupported standing in paraplegia. A ver}'popular model of
iso-metrically contracting muscle follows the Hammerstein hypothesis. The Hammerstein
hypothesis means that the muscle can be modelled by a static nonlinear recruitment curve
followed by an LTI-transfer function. But this assumption inadequately reflects the …
The paper deals with the application of H -design of a moment controller for the plantarflexor muscle group. This is part of a programme of work in rehabilitation engineering which aims to provide control of unsupported standing in paraplegia. A ver}' popular model of iso-metrically contracting muscle follows the Hammerstein hypothesis. The Hammerstein hypothesis means that the muscle can be modelled by a static nonlinear recruitment curve followed by an LTI-transfer function. But this assumption inadequately reflects the physiological conditions. The first section describes the motivation to apply an H -design; this is due to the existence of motor units with varying dynamic properties. In the second section the polynomial approach to H -design is summarized, following the work of Kwakernaak [7, 8, 9]. The third section contains experimental results of a complete laboratory session including muscle identification, controller design and controller tests.
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