In this paper, a Lyapunov-based model reference ProportionalIntegrated-Derivative(PID) is designed using this approach for a DC\DC Buck
converter. However, under a wider range of disturbances, the PID strategy is not suitable for practical applications, and the parameters must be tuned again
for more reliable operations. To this end, a Lyapunov definition-based adaptivemechanism is adopted for the PID strategy, which can increase the stabilityand robustness of this scheme under various disturbances. Moreover, the system is considered a black-box without the need for accurate mathematical
modeling of the system that can result in a lower computational burden as
well as ease of implementation. The Lyapunov concept is a modern adaptive
algorithm that can find optimal answers in shorter periods with more accuracy
and reliable stability insurance. To examine the strength of this method,
conventional Fractional-order PID (FOPID) and PID control techniques are
also tested to be compared with this work using the PSO algorithm to
tune their parameters. Finally, the results related to both simulations and
experimental outputs are tested, showing faster dynamics and significant
robustness of Lyapunov-based PID strategy in different challenging scenarios.