非线性控制系统绝对稳定性的积分新判据

A New Integral Criterion for the Absolute Stability of Nonlinear Control Systems

研究具多个非线性控制项的系统的绝对稳定性．对带非定常控制项的系统的绝对稳定性问题，给出了简洁的积分新判据．并给出了一类系统绝对稳定性的充要条件．

The absolute stability of nonlinear control systems with several control terms is studied. A new concise criterion in integral form for the absolute stability of nonlinear control systems is given. The absolute stability of nonlinear control systems is here reduced to that of equivalent integral systems. An explicit sufficient condition of absolute stability of nonlinear control systems consists in determining if a certain constant matrix is a stable M matrix. The necessary and sufficient conditions for the absolute stability of a class of nonlinear control systems under the condition c T i e At b j≥0 (t≥0; i,j=1, 2, …, m) are given. The integral criterion has been used to determine the robust stability of a class of large scale linear control systems.