论文部分内容阅读
本文提出使用降维观测器来设计低阶H_∞控制器的方法。对于具有输出反馈的H_∞控制问题,可以转换成使用降维观测器的H_∞控制问题。通过直接求解状态空间方程,能够获得使用降维观测器的H_∞控制器,其存在的充分与必要条件是两个Riccati方程分别存在唯一的稳定化半正定解。降维观测器的输出是控制对象在最坏扰动作用下的状态估计值。另外,使用降维观测器的H_∞控制问题可以转换成模型匹配问题,并利用相应的结果获得低阶H_∞控制器。
In this paper, a method of designing a low-order H_∞controller using a reduced-dimensional observer is proposed. For the H_∞ control problem with output feedback, it can be transformed into the H_∞ control problem using the reduced-order observer. By directly solving the state space equation, the H_∞controller can be obtained by using the reduced-order observer. The sufficient and necessary condition for existence of the H_∞controller is that there exists a unique stable positive semidefinite solution for each of the two Riccati equations. The output of the reduced-dimensional observer is the state estimate of the controlled object under the worst disturbance. In addition, the H_∞control problem using the reduced-dimensional observer can be transformed into a model matching problem, and the corresponding results can be used to obtain the low-order H_∞controller.