Abstract
The goal of this paper is to obtain optimal models of an unstable transport system, which is a nonlinear process represented by the two-wheeled unstable transport system. An optimization problem is defined in order to ideally minimize and practically reduce the differences of the outputs of the real-time laboratory equipment with respect to the outputs of the nonlinear model. The parameters of the nonlinear models are optimally tuned using a recent metaheuristic optimization algorithm, namely the Grey Wolf Optimizer, which solves three optimization problems. A comparison of the responses of the real-time laboratory equipment and the derived optimal nonlinear models is carried out in various simulation scenarios, which are discussed and analyzed.
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