不确定非线性系统的周期信号自适应跟踪

ADAPTIVE TRACKING CONTROL OF PERIODIC SIGNALS FOR A CLASS OF UNCERTAIN NONLINEAR SYSTEMS

考虑不确定非线性系统的周期信号的自适应跟踪问题.系统的不确定性不能参数化,周期信号由一非线性系统产生.提出了跟踪周期信号的自适应控制律.此控制律保证了闭环系统所有的信号有界和跟踪误差趋于零.已有的有关的周期信号跟踪控制律只能保证跟踪误差的平方在一周期上的积分趋于零.

The paper considers the problem of tracking of periodic signals generated by a nonlinear system for a class of uncertain nonlinear systems. The uncertainty of the system is not parameterizable. An adaptive control law for the tracking is presented. The control law can guarantee that all the signals in the closed loop system are bounded and that the tracking error converges to zero. The tracking control laws in the previous related studies only guarantee that the integral of square of the tracking error over a period converges to zero.