OPTIMIZATION-BASED DYNAMIC PREDICTION OF HUMAN POSTURAL RESPONSE UNDER TILTING OF BASE OF SUPPORT DAVOOD NADERI * , MOHSEN SADEGHI-MEHR † and BEHNAM MIRIPOUR FARD ‡ Faculty of Engineering, Department of Mechanical Engineering, Bu Ali-Sina University, Hamedan, Iran * d-naderi@basu.ac.ir † mnsimr1958@yahoo.co.uk ‡ miripour@guilan.ac.ir Received 13 April 2011 Accepted 13 October 2011 Published 17 July 2012 The purpose of this paper is to study formulations and computational procedures for prediction of natural human response to tilting of its base of support. The human skeletal structure is modeled as a ¯ve-segment, four-degree-of-freedom mechanical system standing on sinusoidally driven tilting platform in the sagittal plane. The problem is formulated based on predictive dynamics method that leads to an optimization problem. The joint torque square is included in the performance measure and the dynamic stability is achieved by satisfying the vertical forces criterion. The constrained nonlinear optimization problem is solved using an algorithm based on the sequential quadratic programming (SQP) approach. The results which are joint trajectories and torques are characterized in terms of two main types of movement strategies observed in humans, namely, the ankle and hip strategies. Moreover, the e®ect of arms on the stability of the model is studied. The results obtained with the formulation are validated with the experimental data. Simulation results demonstrate the e®ectiveness of the proposed formulation in prediction of natural motion of human in response to tilting of the base plate. Keywords: Human stability; platform tilting; predictive dynamic; vertical force criterion. Abbreviations a: Half of the length of the platform; b: Height of the platform; F ft : Friction force applied to the toe; F fh : Friction force applied to the heel; *Corresponding author. International Journal of Humanoid Robotics Vol. 9, No. 2 (2012) 1250011 (17 pages) ° c World Scienti¯c Publishing Company DOI: 10.1142/S0219843612500119 1250011-1