This study presents a novel approach for the simplification and controller design of expansive dynamic linear time-invariant plants. This approach applies to both single input single output and multiple input multiple output models on a wide scale. The diminution approach is a straightforward method that guarantees the stability of the lower-order plant, given that the higher-order system is stable. Implementing the balanced truncation approach determines the denominator polynomial of the required system. The coefficients of the numerator polynomial are computed using a simple mathematical procedure, as outlined in the suggested scenario. The proposed method overcomes the constraints of the balanced truncation scheme while maintaining its crucial attributes, including stability, controllability, observability, passivity, etc. The strategy that has been developed guarantees the preservation of stability, time moments, Markov parameters, and other features of the higher-order plant in the reduced model. A two-input, two-output, single-machine infinite bus real-time power system model and a ninth-order system are utilized to test the accuracy and effectiveness of the proposed method. The findings of the suggested technique are compared against other popular algorithms. Furthermore, controllers are derived using the moment-matching process using the recommended lower-order plant for two real-time case studies. The controller’s design is shown, and its efficacy is confirmed using a real-time system described in the literature.

这项研究提出了一种用于扩展动态线性时不变对象的简化和控制器设计的新方法。该方法适用于大范围的单输入单输出和多输入多输出模型。缩减方法是一种直接的方法，在高阶系统稳定的情况下保证低阶对象的稳定性。实施平衡截断方法确定所需系统的分母多项式。分子多项式的系数是使用简单的数学过程计算的，如建议场景中所述。该方法克服了平衡截断方案的限制，同时保持了其关键属性，包括稳定性、可控性、可观测性、无源性等。所开发的策略保证了平衡截断方案的稳定性、时间矩、马尔可夫参数和其他特征的保存。简化模型中的高阶工厂。利用两输入、两输出、单机无限总线实时电力系统模型和九阶系统来测试该方法的准确性和有效性。将所建议技术的结果与其他流行算法进行比较。此外，控制器是使用矩匹配过程导出的，并使用推荐的低阶设备进行两个实时案例研究。显示了控制器的设计，并使用文献中描述的实时系统确认了其功效。