【摘要】 研究状态变量含有时滞的线性离散系统在正弦扰动下的前馈-反馈最优减振控制问题.将系统的最优控制问题转化为非齐次线性两点边值问题族,利用逐次逼近法得到了系统的最优控制律.该控制律由解析的前馈-反馈控制律和补偿序列的极限组成.通过截取补偿序列的有限项,得到了系统的前馈-反馈次优减振控制律.仿真结果表明,该方法对抑制正弦扰动的鲁棒性优于经典反馈最优控制.更多还原

【Abstract】 Optimal damping control for linear discrete time-delay systems with additive sinusoidal disturbances is considered.The original optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value problems.By using a successive approximation approach,the optimal control law that consists of accurate linear terms and a limit of a sequence of adjoint compensation terms is obtained.A suboptimal control law is obtained by taking the finite-step iteration of the compensation sequence.Simulations show that the proposed algorithm has better robustness with respect to additive sinusoidal disturbances than that of the classical feedback optimal control.更多还原