Nonlinear Behavior Analysis of Cascaded H-Bridge Inverters Using Double Power Rate Reaching Law Sliding Mode Control

The cascaded H-bridge inverter faces challenges due to complex switching sequences and high equivalent frequencies, which can lead to bifurcation and chaos during operation. This paper proposes a solution using a double-power-order sliding mode control strategy and constructs its discrete mapping model. By analyzing bifurcation diagrams and fast-scale stability analysis, the study clarifies the system’s dynamic evolution patterns and identifies stable operating regions for control coefficients. It reveals that varying control coefficients and internal parameters within specific ranges leads to diverse nonlinear dynamic behaviors. To enhance parameter stability, the paper introduces ICDFC chaos suppression technology, demonstrating its effectiveness in improving stability and mitigating bifurcation and chaos through comparative analysis. Experimental results validate the findings and showcase the superiority of this method in effectively suppressing chaotic behaviors in the cascaded H-bridge inverter.