滑模变结构控制H6结构逆变器的非线性行为和稳定域

Non-linear Behavior and Stability Domain in Sliding Mode Controlled Inverter with H6-type

为了分析滑模变结构控制H6结构逆变器(SMCI-H6)系统工作过程中的非线性行为,并确定其稳定工作的控制参数范围,采用频闪映射法建立了SMCI-H6系统的离散模型。采用折叠图、时域图、频谱图和快变稳定性定理对SMCI-H6的非线性行为和稳定域进行了研究;并针对系统滑模控制系数ke的稳定域较窄的问题,提出了一种改进的控制方法。结果表明:系统存在一种状态量从周期1态突变为周期2态的状态突变非线性行为,且ke的稳定域为[0,0.021]。仿真与实验表明,改进控制将ke的稳定域提高了2.29倍。研究结果为分析SMCI-H6系统的非线性行为及其稳定域提供了可靠依据。

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 muta- tion to the period-2 state, is discovered. Meanwhile, the stability domain of kc 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.