基于状态反馈线性化的单相全桥逆变器的最优控制

Optimal control of single-phase full bridge inverters based on state-feedback linearization

基于二次型最优控制与状态反馈线性化方法,提出了一种新型的非线性控制单相逆变器的策略。建立了非线性仿射的单相全桥逆变器模型。利用精确线性化状态反馈的方法,推导了非线性状态反馈,并对非线性系统表达式进行了线性化。基于无源控制理论,提出了一种二次型性能指标,利用二次型最优控制优化了状态反馈系数的设计。该控制系统具有成本低,结构简单,易于采用数字信号处理技术实现的特点。基于该控制方法的系统无稳态误差输出,对负载扰动具有强鲁棒性,且输出电压谐波畸变率较小。

Based on the state-feedback linearization and the optimal control of quadratic type, a new nonlinear control strategy for single-phase inverters was proposed. The affine nonlinear model for single-phase full bridge inverters was established. By using the method for exact linearization of state feedback, the nonlinear state feedback expres- sion was derived, and the linearization of nonlinear systems was realized. According to the passivity-based control i- dea, a performance index of quadratic form was put forward, and the design of the state feedback coefficient was optimized by the quadratic form optimal control. The proposed control system has the advantages of low cost, simple structure, and easy to implement by idgital signal processing, of no steady state error, strong robustness to load disturbance, which makes an inverter system have the advantages and small harmonic distortion rate in output voltage.