考虑量化效应的扭振观测器设计

讨论了基于状态观测器的汽轮机轴系扭振测量方法，采用李亚普诺夫稳定性判据分析存在量化效应的条件下标准龙贝格观测器的动态特性，指出由于数字系统中的有限字长效应(量化效应)会使观测器的跟踪性能恶化，估计误差不能在大范围内渐进收敛。该文通过把量化器作为一个确定性的无记忆非线性环节，导出了一个在存在量化效应条件下保证观测器渐进收敛的充分条件。在此基础上改进了汽轮机轴系扭振观测器，保证当原系统矩阵满足赫尔维茨条件时观测器的状态估计误差渐进收敛。

Design of Torsional Oscillation Observer With Quantization Effects

A torsional oscillation observer based on the general observer was discussed to estimate the speed of the turbine generator. The dynamic characteristics of standard Luenberger observer with quantization effects were studied by Lyapunov stability criterion. It is concluded that the state estimate error can not asymptotically converge to zero in-the-large in presence of quantization effects. By modeling the quantizers as deterministic memoryless nonlinearities, a sufficient condition for the asymptotical convergence of observer was derived. A new torsional oscillation observer was introduced which can guarantee the asymptotic convergence of tracking error if the system matrix is Hurwiz.