一类不确定非线性关联时滞系统的自适应控制

Adaptive Control for a Class of Uncertain Nonlinear Interacted Systems with Time Delay

讨论了一类不确定非线性关联时滞系统的自适应控制问题.系统中的时滞关联项是线性有界的,但线性界是未知的.通过引入自适应参数变量,使所设计的控制器能够很好地处理系统中的时滞关联项,从而也保证了系统的渐近稳定.数值例子和仿真证明了所设计控制器的有效性和可行性.

Adaptive control is discussed for a class of uncertain nonlinear interacted systems with time delay. It is assumed that the perturbations of the time - delayed sections are allowed to be bounded by linear functions, but the bounds are unknown. By the introduction of adaptive parameter variables, the controller is constructed to deal with the interacted terms of the time - delayed sections, which ensures that the closed - loop system is asymptotically stable. Finally, a numerical example and simulation results are shown to verify the effectiveness of the designed controller.