Summary
Fourier series-based method of control optimization effectively tackles the optimal control problem in non-smooth mechanical systems characterized by discontinuities from dry friction or impacts. However, the current optimization procedure employs evolutionary algorithm, which may not ensure enhanced system efficiency with an increasing number of harmonics K. To address this limitation, this paper introduces a developed, iterative approach to the method. The aim is to maintain, at least, non-decreasing quality of solutions in successive iterations during the optimization procedure. The proposed approach is tested on a discontinuous capsule drive, and a comparative analysis is conducted with the previous approach (non-iterative). It is anticipated that this work will enable progress in control optimization of systems, for which typical approaches cannot be utilized.
