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This paper discusses the process of water purification from harmful impurities by using electrical discharge machining (EDM) metal balls in an aqueous solution. The mathematical model has been developed for the water purification process. The control action was optimised using a mathematical model. To achieve the optimisation an extremal controller has been used. As a result of the process water purification optimisation, the electricity cost was minimized.doi:10.3303/cet1652055 doaj:b6ed14c00aa04e05b6725c81de81b3cd fatcat:4t34lndixvgnbgythl6fsg5e3e