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在实际应用中,许多动力系统都可以以一阶时滞不稳定传递函数进行建模.但是,无穷维及系统不稳定等因素的存在使得这类系统的控制分析与综合具有很大挑战.考虑一阶时滞不稳定系统的控制问题,基于数字化的开环控制系统,对比例(P)控制器和比例积分(PI)控制器分别提出了明确的优化公式.同时,针对具有时滞的反馈系统,讨论了控制器的稳定范围.与现有的结果相比较,该数字控制方法简化了控制器的优化过程,且证明了稳定范围的充分性及精确性.最后,通过一个数值实例及与已有结果作比较验证该算法的可靠性及有效性.
In practice, many dynamical systems can be modeled with first-order unsteady transfer function, but the existence of infinite dimension and system instability poses a great challenge to the control analysis and synthesis of such systems. Based on the digitalized open-loop control system, a clear optimization formula is proposed for the proportional (P) controller and the proportional integral (PI) controller, respectively. At the same time, for the feedback with time delay System, the stability range of the controller is discussed.Compared with the existing results, the numerical control method simplifies the optimization process of the controller and proves the adequacy and accuracy of the stability range.Finally, by a numerical example and The results have been compared to verify the reliability and effectiveness of the algorithm.