带正弦干扰的线性时滞系统的次优控制

Suboptimal control for time-delay linear systems under sinusoidal disturbances

研究状态变量含有时滞的线性系统在正弦干扰下的前馈反馈次优减振控制问题 .首先构造其解收敛于原时滞系统的无时滞系统序列 ;然后将时滞系统的最优控制问题化为无时滞系统的最优控制序列问题 ;最后通过截取最优控制序列解的有限项 ,得到系统的前馈反馈次优控制律 .仿真结果表明 。

Feedforward and feedback suboptimal control for linear systems with state time-delay affected by additive sinusoidal disturbances is considered. A sequence of non-delay systems is constructed, which uniformly converges to the original system with time-delay. Then the optimal control for the original system is transformed into an optimal control sequence for non-delay systems. By using a finite term of the optimal sequence, a feedforward and feedback suboptimal control law is obtained. The algorithm of solving the suboptimal control law is given. Simulations show that the result is more robust with respect to additive sinusoidal disturbances than that of the classical feedback optimal control.