Abstract
Gravitational search algorithm (GSA) is a swarm intelligence-based algorithm which is inspired from the law of motion and law of gravity. GSA leads to the loss of the exploitation capability. To find a trade-off between exploration and exploitation capabilities of GSA, a modified gravitational search algorithm is proposed namely exponent inertia weight-based GSA (EIWGSA). The proposed algorithm maintains a proper balance between the exploitation and exploration skills of GSA by introducing an exponent inertia weight (EIW) parameter. The proposed algorithm is implemented over 15 benchmark functions and compared with basic GSA, BBO and PSO algorithm. Then, the MGSA algorithm is applied to design of PID controller for the magnetic leviation system over a wide difference operating air gap as 3 mm, 10 mm and 17 mm.
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