基于混沌的H桥逆变器的非奇异终端滑膜控制

Non-singular terminal synovial control based on chaotic H-bridge inverters

针对逆变器的分岔和混沌现象,建立逆变器的离散模型,通过分岔图、Lyapunov指数和折叠图分析非线性行为,并计算出系统的稳定运行范围及混沌运行范围。文中提出一种非奇异终端滑膜控制策略,设计切换面函数,推导逆变器的反馈控制律。最后进行仿真,仿真结果表明:非奇异滑膜控制能够有效抑制系统的混沌行为,从而拓宽了系统稳定工作范围,相比于比例积分控制(proportional integral derivative,PI),稳定范围扩大了80%。由此可以使得逆变器实现稳定工作,有很强的实际应用价值。

In this paper,for the bifurcation and chaos phenomena of the inverter,the discrete model of the inverter is established.The nonlinear behavior is analyzed by bifurcation diagram,Lyapunov exponent and folding diagram.Stable operation range and chaos operation range of the system are calculated.A nonsingular terminal control strategy is proposed,the switching surface function is designed to derive the feedback control law of the inverter.When the bifurcation parameters vary greatly,the chaos behaviors in the system will be suppressed effectively,the stable operating domain of the system will be expanded greatly to 80%compare with proportional integral derivative.In this way,it can ensure the stable operation of the inverter and have good application value.