高相对阶连续时间系统的间接迭代学习控制

Indirect-type iterative learning control for high relative degree continuous-time systems

中文关键词  间接迭代学习控制  相对阶系统  鲁棒控制  2–D系统  迭代变化因素

英文关键词  indirect-type iterative learning control  relative degree system  robust control  2–D system  iteration-varying factors

中文摘要

      本文提出了一类高相对阶线性连续时间系统的间接迭代学习控制算法, 该算法相对独立于系统局部控制 器, 因此可以应用于已有局部反馈控制器的系统. 采用具有极点配置的H1鲁棒控制器作为系统的内环控制, 而在 外环通过迭代学习控制调整内环系统的指令信号. 通过引入拉氏变化, 构建了迭代学习系统的2?D Roesser模型, 推 导了系统渐近收敛条件, 并研究了存在有界初始条件偏移和迭代变化外部干扰时算法的鲁棒性能. 最后, 利用空中 加油对接控制的算例进一步验证了算法的有效性.

英文摘要

      In this paper, a kind of indirect-type iterative learning control is developed for high relative degree linear continuous-time systems. The proposed indirect-type iterative learning control design is relatively independent of the system local controller, thus it can be applied to the process which already has local feedback control. The H-infinity robust controller with pole assignment is designed in the inner loop, while the iterative learning control updating law is implemented to adjust the setpoint command of the closed-loop system in the outer loop. By introducing the Laplace transform, the two dimensional Roesser system is established for the iterative learning system, and then the system monotonic convergence condition is derived. Furthermore, the robustness performance of the iterative learning control algorithm is investigated in the presence of bounded initial state shift and iteration-varying external disturbance. Finally, the effectiveness of the proposed algorithm is illustrated by the simulation of aerial refueling docking control.