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Robust tracking and disturbance rejection with two DOF controllers and distributed internal models

机译:具有两个DOF控制器和分布式内部模型的鲁棒跟踪和干扰抑制

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We extend results on robust asymptotic tracking with 2 DOF controllers to the case where both asymptotic tracking and disturbance rejection must occur simultaneously and robustly with respect to plant parameter uncertainty. Necessary and sufficient conditions for the solvability of this problem are established and the structural constraints on the 2 DOF robust controllers are made explicit. These conditions show: 1) that error feedback is necessary, 2) that an internal model of the reference signals must be present in the error driven compensator and 3) that an internal model of the disturbances must be present in either the error driven compensator or in the output feedback compensator. The fact that an internal model of the disturbances need not necessarily be present in the error driven compensator is new and apparently contradicts the well known internal model principle which states that all exogenous signals must be modeled in the error driven controller. A discussion and illustrative examples are included.
机译:我们将关于具有2个自由度控制器的鲁棒渐近跟踪的结果扩展到必须同时且稳健地针对植物参数不确定性同时发生渐近跟踪和干扰抑制的情况。建立了解决该问题的必要和充分条件,并明确了2自由度鲁棒控制器的结构约束。这些条件表明:1)误差反馈是必要的,2)误差驱动补偿器中必须存在参考信号的内部模型,以及3)误差驱动补偿器中必须存在干扰的内部模型或在输出反馈补偿器中。误差驱动的补偿器中不一定存在干扰的内部模型这一事实是新颖的,并且显然与众所周知的内部模型原理相矛盾,该原理指出必须在误差驱动的控制器中对所有外源信号进行建模。包括讨论和说明性示例。

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