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研究方差未知的随机扰动作用下的链式不完整系统.目标是采用不连续控制和选择控制方法设计概率意义下的准全局自适应渐近控制器u0和u1.对于x0子系统,分别在x0(t0)=0和x0(t0)≠0两种情况下,设计选择控制器u0以保证其准全局渐近稳定.对于(x1,x2,???,xn)子系统,首先给出不连续控制的状态变换技术,然后根据x0子系统不同初始状态下的控制器u0,通过反步技术设计使(x1,x2,???,xn)子系统准全局渐近稳定的不连续反馈自适应控制器u1.给出选择控制器的设计过程,仿真结果证明设计的控制算法的有效性.
In this paper, we investigate the chaotic incomplete systems under random disturbances with unknown variances.The objective is to design the quasi-global adaptive asymptotic controllers u0 and u1 in the sense of probability using discontinuous control and selection control methods.For x0 subsystems, (t0) = 0 and x0 (t0) ≠ 0, the controller u0 is chosen to ensure that it is quasi-globally asymptotically stable. For the (x1, x2, Then, according to the controller u0 in different initial states of the x0 subsystem, the discontinuous feedback of the (x1, x2, ..., xn) subsystems is quasi- The adaptive controller u1 is given the design process of the selection controller, and the simulation results show the effectiveness of the designed control algorithm.