Iterative learning control with optimal learning gain for recharging of Lithium-ion battery

Lithium-ion battery has been widely used by the virtue of its high energy density and longevity. It is required that the lithium-ion battery ought to be recharged and discharged with the guarantee of safety and reliability in the applications. In this paper, a P-type iterative learning control (ILC) algorithm is introduced to manage the charging process of lithium-ion battery described by the equivalent circuit model as a special case of non-linear distributed parameter system. For practical implementations, the monotone convergence is analyzed and guaranteed in the sense of Lebesgue-p norm. Furthermore, an optimal learning gain is selected in order to achieve rapid convergence speed. A practical simulation using parameters identified by real lithium-ion battery is built up to verify the effectiveness of proposed control scheme.