Hybrid Adaptive Control for the DC-DC Boost Converter

In this paper, we consider the problem of practically asymptotically stabilizing the DC-DC boost converter under parameter uncertainty. In particular, we propose an estimation algorithm that identifies the input voltage and output load of the converter in finite time. Using these estimates, we design a control algorithm that "unites" global and local control schemes. The global control scheme induces practical asymptotic stability of a desired output voltage and corresponding current, and the local control scheme maintains industry-standard PWM behavior during steady state. Stability properties for the resulting hybrid closed-loop system are established and simulation results illustrating the main results are provided.