Research on the Nonlinear Dynamic Behavior of H-Bridge Inverter Based on Joint PI and Improved Power Reaching Law Sliding Mode Control

To broaden the stability domain of the H-bridge inverter, a control method of the H-bridge inverter combined with PI and improved power reaching law sliding mode control is studied in this paper. To analyze the complex dynamical behavior of this inverter, firstly, the mathematical model of this system is established and numerical simulation of this model is performed. Secondly, the nonlinear dynamical behavior of this inverter is observed by a bifurcation diagram, folding diagram, stroboscopic diagram, time-domain diagram, and spectral diagram. Thirdly, the stability theory of the system is analyzed by applying the fast-varying stability theorem, and the consistency between the theoretical analysis and numerical simulation further proves the mechanism of nonlinear dynamical behavior occurring in this inverter. Finally, the influence of the circuit parameters: input voltage, load inductance, and load resistance on the nonlinear dynamical behavior of the inverter is analyzed. It is shown that this joint control mode can broaden the operating stability domain of the H-bridge inverter, which provides an important theoretical basis for the design and manufacture of the inverter.