Abstract

Sitting posture is different in subjects with spinal cord injury (SCI) compared to asymptomatic subjects. This difference comes from the spine which, without muscular activity will bend under the weight of the trunk. The impact of this human deformation is particularly visible through the stability maintenance exercise. Indeed, in response to a disturbance, subjects with a spinal cord injury will adopt new stabilization strategies through the action of the upper limbs in order to compensate for the absence of voluntary control below the complete injury level. Understanding the effects of this injury on postural control leads us to design a biomechanical model of sitting stability. With this model, it is possible to estimate human joint torques using an unknown input observer (UIO). The nonlinear structure of the model is considered via quasi-LPV framework also called Takagi-Sugeno framework. The convergence of the UIO is expressed by linear matrix inequalities (LMI), which are solved via convex optimization techniques. We provide in this paper numerical simulations and real data experiments performed in a discrete framework to demonstrate the effectiveness of the UIO-based approach.

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