“…The best example one can think of is an inverted pendulum on a cart (POAC) which is the foundation of all the robots in under-actuated upright balance category. The POAC is a benchmark problem in the field of control and dynamical theory and this widely used in testing various control related algorithms such as-PID controllers [1,25] neural networks [3], fuzzy control [2], genetic algorithms [4], PSO, PID based [18], etc. In this paper this benchmark problem is considered and the author tried to give a novel fractional model predictive control (FMPC) for the POAC.…”