In order to analyze the non-linear behavior and stability domain of the sliding mode controlled inverter with H6-type（SMCI-H6） system

the discrete time iterative model of the SMCI-H6 system is established with stroboscopic map method. The non-linear behavior and stability of SMCI-H6 is investigated by analyzing folded diagram

time-domain simulation

spectrum

and fast-scale stability criterion. To solve the problem of narrow stable domain of SMC coefficient ke

an improved control is proposed. The results indicate that a state mutation phenomenon

that is the period-1 state mutation to the period-2 state

is discovered. Meanwhile

the stability domain of ke is [0

0.021]. Results of simulation and experiments show that the stability domain of ke is about 2.29 times wider in the inverter with H6-type

which is controlled by the improved control. The research results can be used to analyze the non-linear behavior and stability domain of the SMCI-H6 system.