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Improved simplification technique for LTI systems using modified time moment matching method
Sādhanā ( IF 1.6 ) Pub Date : 2021-06-24 , DOI: 10.1007/s12046-021-01647-8
Sudharsana Rao Potturu , Rajendra Prasad , Rahul Meshram

A new simplification technique is proposed for reducing the large scale dynamic systems to the small scale dynamic systems by preserving input and output characteristics of the original system. The reduced order model is obtained using modified time moment matching method and basic mathematical technique. The reduced order denominator is determined by modified time-moment matching method. The reduced order numerator parameters are found by basic mathematical technique which is discussed in the proposed methodology. This method guarantees the stability of reduced order models if the original higher order systems are stable. This method gives close approximation with the original system in both transient and steady state responses. Moreover, the results show the superior performance of the proposed technique. The performance of the this technique is evaluated in terms of step and bode responses as well as integral square error (ISE), integral absolute error (IAE) and integral time absolute error (ITAE). These results are compared with the existing reduction techniques. Furthermore, the results illustrate the efficiency and effectiveness of the proposed technique. This method is appropriate for both single input single output (SISO) systems and multivariable systems.



中文翻译:

改进的 LTI 系统简化技术使用改进的时间矩匹配方法

提出了一种新的简化技术,通过保留原始系统的输入和输出特性,将大规模动态系统简化为小规模动态系统。降阶模型是利用改进的时间矩匹配方法和基本数学技术获得的。降阶分母由修正的时间-矩匹配法确定。降阶分子参数是通过在所提出的方法中讨论的基本数学技术找到的。如果原始高阶系统稳定,该方法保证降阶模型的稳定性。这种方法在瞬态和稳态响应中与原始系统非常接近。此外,结果表明所提出的技术的优越性能。该技术的性能根据阶跃和波特率响应以及积分平方误差 (ISE)、积分绝对误差 (IAE) 和积分时间绝对误差 (ITAE) 进行评估。这些结果与现有的还原技术进行了比较。此外,结果说明了所提出技术的效率和有效性。这种方法适用于单输入单输出 (SISO) 系统和多变量系统。

更新日期:2021-06-24
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