The Journal of Science and Engineering Applications (JSEA)

Abstract

 The following paper offers a stochastic delayed control system in the case of smart battery systems that would be affected by actuation and uncertainty delays. Stochastic delayed differential equations are utilized to describe the dynamics of the battery to capture random variation and delayed control action. A state-of-charge (SOC) regulation and state-of-charge control effort is balanced by introducing a quadratic cost functional. Lyapunov and Lyapunov-Krasovskii techniques are used to draw up enough conditions under which the system exists, is unique, and mean-square stable. The effects of delay and stochastic disturbances on system performance are shown through numerical simulations and confirmed by the theoretical findings.