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- Limiting performance analisys of a head protection helmet using multicriteria control optimizationPublication . Moita, P. P.; Antunes, Miguel; Madeira, JFA; Cardoso, J. E. B.; Valido, AníbalIn this paper the limiting performance analysis of a head protection helmet is performed. A discrete model of the human head is used. A multicriteria optimum control problem is formulated in order to minimize the risk of injuries in case of impact. Several injury criteria are minimized and are required to remain below a safety threshold value. The optimal control force acting on the head is found. The optimal control force is determined by nonlinear programming. The equations of motion are integrated at-once, as it is typical for static response, instead of the traditional step-by-step integration.