Research on the Nonlinear Dynamic Behavior of H-Bridge Inverter With Improved Double Power Exponential Reaching Law Sliding Mode Control

Given the strong chattering problem caused by traditional sliding mode control, this paper uses a sliding mode control strategy based on an improved double power exponential reaching law to control the H-bridge inverter. To analyze the working process of the H-bridge inverter system with the improved double power exponential reaching law, a discrete iterative model of the H-bridge inverter system is established based on stroboscopic mapping theory. Then, the bifurcation diagram, folding diagram, and spectral diagram are used to study the nonlinear phenomena of the system under different control parameters, and the stability regions of the control parameters in the system are obtained: the stability region of $k_{1}$ is (0, 0.598], the stability region of $k_{2}$ is (0.26, 0.517], the stability region of k is (0.181, 0.444], the stability region of $\alpha $ is (0.074, 0.89], the stability region of $\beta $ is (1.03, 1.89], and the stability region of $\lambda $ is (0.92, 1.97]. The stable operating range of the system control parameters is analyzed based on the fast-varying stability principle, and the obtained stability range of the control parameters is consistent with the results shown in the bifurcation diagram. Finally, it is found that changes in external parameters such as voltage E, inductance R, and resistance L have an important impact on the performance of the inverter system, and have important theoretical guidance for the optimal design and debugging of H-bridge inverters.