Abstract
Naturally inspired Flower pollination unconstrained optimization method is applied for the stabilization of the double inverted pendulum control problem as part of this study which is a novelty. The optimization was applied under the influence of time delay and have proven that the influence of time delay is significantly felt and would cause loss of energy, however the presence of flower pollination for optimization minimizes the loss incurred due to time delay and makes the system significant in terms of sensitivity. The influence on settling time and peak overshoot are studied and are compared for performance with and without time delays. The developed strategy paves way to the analysis of complex dynamic systems wherein the controller design when designed using naturally inspired algorithm would make the system energy efficient.
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