关于非綫性控制系統的稳定性问題

本文利用李亚普诺夫方法研究非线性控制系统的全局稳定性、大范围稳定和其吸引区的寻求以及一个品质问题.对非线性元件采用了分段线性的模型,从而使得到的条件中也包含有非线性特性的参数.

PROBLEMS CONCERNING THE STABILITY OF NONLINEAR CONTROL SYSTEMS

The problems of stability in the whole, stability in the large with its attracting region, and the quality problem of nonlinear control systems are studied by the Lyapunov’s method. The functional relation of the nonlinear element is assumed to be piece-wise linear, continuous or not, and may possess two-valued intervals, but is linear at the origin. Thus the whole phase space can be divided into three simple regions in each of which the differential equations of the system are essentially linear. As a result the stability conditions contain also parameters of the nonlinearities.