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Improved simplification technique for LTI systems using modified time moment matching method

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Abstract

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.

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Acknowledgements

We are thankful to the Department of Electrical Engineering, Indian Institute of Technology Roorkee (IITR), and Ministry of Human Resource Development (MHRD).

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Authors and Affiliations

  1. Department of Electronics and Communication Engineering, Koneru Lakshmaiah Education Foundation Hyderabad, Telangana, 500075, India

    Sudharsana Rao Potturu

  2. Department of Electrical Engineering, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    Rajendra Prasad

  3. Department of Electronics and Communication Engineering, Indian Institute of Information Technology Allahabad (Prayagraj), Prayagraj, 211015, India

    Rahul Meshram

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  1. Sudharsana Rao Potturu
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Correspondence to Sudharsana Rao Potturu.

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Potturu, S.R., Prasad, R. & Meshram, R. Improved simplification technique for LTI systems using modified time moment matching method. Sādhanā 46, 126 (2021). https://doi.org/10.1007/s12046-021-01647-8

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