不确定系统控制的自稳定域方法的推广

The improvement of self-stable region approach for controlling uncertain systems

基于已有的为构造不确定系统的连续反馈控制律而提出的自稳定域的理论,给出了推广的系统的自稳定域的概念及其构造方式的理论证明,使得零点成为系统自稳定域的内点,从而系统自稳定域不再仅限于第2、第4象限,保证了由此得到的系统在零点的连续性.基于这些理论结果,进一步给出了一般的2阶不确定系统控制的自稳定域以及相应的连续控制项的构造方法,并在文章最后给出了仿真计算的实例.

In extending the self-stable region approach for controlling the uncertain systems, we give an improvement for the concept of the self-stable region and the related theories. This improvement makes the ＂zero＇s＂ the interior points of the self-stable region, thus, the self-stable region is no longer limited to the second and the fourth quadrants, ensuring the continuity of the system ＂zero＇s＂. Based on these results, we determine the general self-stable region for uncertain second order systems, and construct the continuous term of the control law. Simulation results are given in the final part of the paper.