A system is provided for performing a power estimation process for an electric vehicle using a controller. The controller estimates an inner state of an energy storage supply of the electric vehicle. The inner state represents a state-of-charge (SOC) and/or a state-of-health (SOH) of the energy storage supply. The controller also estimates an SOC value and/or an SOH value of the energy storage supply based on at least one of: a present current level, a present voltage level, a present temperature, and time-based information. The controller further estimates a bounded SOC value based on the SOC value, a first upper bound, a the first lower bound, and/or estimates a bounded SOH value based on the SOH value, a second upper bound, and a second lower bound. The controller then controls an electrification process of the electric vehicle based on the bounded SOC and/or SOH values.