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Optimal control computation to account for eccentric movement

Published online by Cambridge University Press:  17 February 2009

L. S. Jennings ,
K. H. Wong  and
K. L. Teo
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Abstract

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A class of optimal control models which involve different weightings in the integrand of the objective function is considered. The motivation for considering this class of problems is that this type of objective function is used to account for eccentric movement in biomechanical models. The computation of these optimal control problems using control parametrization directly is difficult, firstly because of ill-conditioning, and secondly because the objective function is not differentiable. A method for smoothing the integrand is presented with convergence results. An example is computed which shows favourable computational improvements.

Type
Research Article
Information
The ANZIAM Journal , Volume 38 , Issue 2 , October 1996 , pp. 182 - 193
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Craven, B. D., “Nondifferentiable optimization by smooth approximation”, Optimization 17 (1986) 3–17.Google Scholar
[2]Craven, B. D., “Convergence of discrete approximations for constrained minimization”, J. Austral. Math. Soc. Ser. B 36 (1994) 50–59.CrossRefGoogle Scholar
[3]Jennings, L. S., Fisher, M. E., Teo, K. L. and Goh, C. J., “MISER3, optimal control software, theory and user manual”, EMCOSS, Perth WA, 1990.Google Scholar
[4]Jennings, L. S., Fisher, M. E., Teo, K. L. and Goh, C. J., “MISER3: Solving optimal control problems — an update”, Adv. Eng. Software and Workstations 13 (1991) 190–196.Google Scholar
[5]Marshall, R. N. and Jennings, L. S., “Performance objectives in the stance phase of human pathological walking”, Human Movement Sci. 9 (1990) 599–611.CrossRefGoogle Scholar
[6]Marshall, R. N., Jensen, R. K. and Wood, G. A., “A general Newtonion simulation of an n-segment open chain model”, J. of Biomech. 18 (1985) 359–367.CrossRefGoogle Scholar
[7]Marshall, R. N., Wood, G. A. and Jennings, L. S., “Performance objectives in human movement: A review and application to the stance phase of normal walking”, Human Movement Sci. 8 (1989) 571–594.Google Scholar
[8]Teo, K. L. and Goh, C. J., “On constrained optimization problems with non-smooth cost functionals”, Appl. Math. Opt. 17 (1988) 181–190.CrossRefGoogle Scholar
[9]Teo, K. L., Goh, C. J. and Wong, K. H., A Unified Computational Approach to Optimal Control Problems (Longman Scientific and Technical, UK, 1991).Google Scholar
[10]Teo, K. L. and Jennings, L. S., “Nonlinear optimal control problems with continuous state inequality constraints”, J. Opt. Theory and Appl. 63 (1989) 1–22.CrossRefGoogle Scholar