摘要
A class of triangular non li near system with disturbances which has unknown multiplicative time varying par ametric uncertainties in each virtual control is treated by a backstepping techn ique. The controller designed for all admissible uncertainties can guarantee tha t all states of its closed loop system are uniformly bounded. The robust contro ller design algorithm and a sufficient condition of the system stability are giv en. In addition, the closed loop system has an ISS property when the multiplica tive time varying parametric uncertainties are viewed as inputs to the system. Thus, this design provides a way to prevent a destabilizing effect of the multip licative time varying parametric uncertainties. Finally, simulational example i s given and simulational result shows that the controller exhibits effectiveness and excellent robustness.
利用李亚普诺夫函数递推设计方法对一类含有未知时变参数不确定和干扰的非线性系统进行了控制器设计 ,所设计的控制器对于所有允许的不确定可保证闭环系统状态一致有界并收敛到一个紧集。文中给出了鲁棒控制器的设计算法及系统稳定的充分条件 ,并讨论了当不确定被看作系统的输入时 ,闭环系统具有 ISS特性。因而 ,本文提出了一种克服不确定造成系统不稳定的方法 ,最后给出了一个仿真算例。仿真结果表明了所设计的控制器的有效性和较强的鲁棒性。
基金
国家自然科学基金 ( G60 1 740 45 )资助项目~~
