轻型直流输电系统鲁棒非脆弱H_∞控制器设计

Design of robust and non-fragile H_∞ controller for HVDC Light

建立了轻型直流输电系统dq0坐标系下的电压源型换流器被控对象的状态空间方程,考虑到模型参数的不确定性和不确定系统的控制器参数在一定范围内发生加性范数有界摄动的情况。利用线形矩阵不等式(LMI)方法对鲁棒非脆弱H∞状态反馈控制器的设计进行了研究,然后分别对输电系统整流侧和逆变侧设计了鲁棒非脆弱H∞控制器。最后建立了MATLAB仿真模型,将所设计的控制器与H∞控制器进行仿真分析,仿真结果表明所设计的控制器具有良好的非脆弱性和鲁棒性。

The state space equations of the controlled object of voltage source converter for VSC-HVDC Light are established in the dqO coordinates system,which considers the model parameter uncertainty and the additive norm-bounded perturbation of controller parameters in a certain range. The LMI（Linear Matrix Inequality） technology is used to study the design of robust and non-fragile H∞ controller,which is then applied respectively to the rectification and inversion sides of transmission system. A MATLAB-based simulation model is constructed and the designed controller is compared with the H∞ controller. Simulative results show that the designed controller has better robustness and non-frangibility.