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. 2016 Mar 14;11(3):e0151166. doi: 10.1371/journal.pone.0151166

Fig 2. The basic principle of Model Predictive Control.

Fig 2

At any time instant t the most recent mechanical system state x(t) is sampled and fed to the controller. The control is computed minimizing the cost function 2 to bring the internal model to a standstill posture.The computed control vector u, consisting of the CoM and flywheel jerks and the future step positions, is then applied back to the mechanical system.