基于观测器的汽轮发电机气门开度的时滞无关控制

Observer-based delay-independent control for steam valves of steam turbo-generator

本文考虑了具有非线性关联作用的带中间再热器的汽轮发电机的数学模型,研究了气门开度基于观测状态的时滞无关分散控制器的设计问题.首先把非线性关联函数变换为子系统状态变量的二次有界不等式,然后通过构造适当的Lyapunov泛函,并利用线性矩阵不等式(LMI)的处理方法,得到了使汽轮发电机组渐近稳定的LMI充分条件.此外,还提出了了控制器增益矩阵和观测器增益矩阵的求解算法..最后以两机无穷大母线系统为例进行了仿真分析,验证了该方法的有效性.

A delay-independent decentralized controller based on the state observer is proposed for the steam valve opening of a turbo-generator. The design of this controller is based on the mathematical model of the turbo generator with reheater, which involves nonlinear interconnection function. The nonlinear interconnection function is first converted into a bounded quadratic inequality of the subsystem states; and then, by constructing a proper Lyapunov function and applying the linear matrix inequalities （LMI） method, we develop for the turbo-generator the sufficient condition of asymptomatic stability and determine the gain matrices for the controller and observer. Simulation has been performed in a two-machine infinite-bus power system; results demonstrate the effectiveness of the proposed method.