Survey Constrained model predictive control: Stability and optimality
Automatica (Journal of IFAC)
Brief paper: Pseudospectral methods for solving infinite-horizon optimal control problems
Automatica (Journal of IFAC)
Dynamic modelling and stabilization of a new configuration of two-wheeled machines
Robotics and Autonomous Systems
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In this paper, nonlinear model predictive control is applied to an inverted pendulum apparatus. The sample interval for control calculations is 25 milli-seconds and the associated non-convex constrained optimisation problem involves 61-variables with 241-constraints. Despite this being a challenging problem, it was solved on-line using a standard sequential quadratic programming approach on a modest hardware platform. The efficacy of the control algorithm is validated via experimental results.