大时滞系统的自适应预估控制

Adaptive Estimating Control for Large Time Delay System

针对输入和状态具有大时滞的线性系统的自适应控制问题,依据系统将来的状态设计预估控制器,利用与该控制器等效的因果控制器,设计自适应率,给出使得系统状态在有限时间内渐近稳定的充分条件.对于该时滞系统,若适当调整参数及系统的初始状态,还可提高系统的时滞上界.同时该方法对时滞的导数没有限制,可适合于快变时滞系统.仿真结果验证了该方法的有效性.

The adaptive problem for linear system with state time delay and input time delay is considered, and a state prediction controller is designed by using the future system state. When the state matrix is unknown, the system is asymptotically stable by using equivalent causal controller and adaptive controller. This method can be suitable for the fast time varying delay system because of delay derivative without limit. With the appropriate adjustment of parameters and the initial state of the system, the system＇ s delay upper bound can improve and this method also can be used in large time delay system. The simulation results verify the validity of this method.