反步法在多输入多输出逆变器系统中的应用

Application of backstepping method to multi-input multi-output inverter system

结合虚拟控制和Lyapunov函数选取,讨论了多输入多输出系统的反步法设计步骤,给出了具有严格参数反馈形式的多输入多输出系统设计控制向量的数学表达式。以非线性系统三相电压型逆变器为例,建立了逆变器模型具有参数严格反馈的标准形式,选取合适的虚拟变量并构造Lyapunov函数,设计全局渐进稳定的控制器,得到了其反步法控制数学模型。搭建闭环控制系统验证了此方法应用于三相电压型逆变器系统控制的合理性。

By combining virtual control with Lyapunov function selection,the Backstepping design procedure of multi-input and multi-output system is discussed,and the mathematical expression of design control vector of multi-input and multi-output system with strict parameter feedback form is given.Taking the nonlinear system of three-phase voltage inverter as an example,a standard form with strict parameter feedback is established,appropriate virtual variables are selected,Lyapunov function is constructed,a global asymptotically stable controller is designed,and its Backstepping control mathematical model is obtained.The closed loop control system is built to verify the rationality of the method applied to the control of three-phase voltage inverter system.