在仅已知系统相对阶的情况下,通过串联差分器(微分器)的方法使系统的相对阶条件得到满足,从而使基于二阶特征模型的全系数自适应控制可以应用于高相对阶的最小相位高阶线性不稳定对象.针对测量存在噪声的问题,又提出一种改进的强跟踪滤波方法对测量信号进行去噪声处理,从而显著地改善了控制量和被控对象输出的性能.最后,通过对几种控制方案的控制性能比较,说明所提出的基于串联差分器和改进的强跟踪滤波相结合的全系数自适应控制方案可以较好地处理含测量噪声情况下的高相对阶系统的镇定控制问题.
Given that the relative-order is known regardless of the uncertainties of the parameters and specific model order,a method for stabilizing characteristic model-based high-order linear unstable systems is proposed in this paper. Meanwhile,identification and control of those systems with measurement noise are studied and new filter and identification algorithms are proposed to improve the performance of the control. Finally,numerical simulations have demonstrated effectiveness of the proposed approach.