Reduced Order Modelling of Continuous Time SISO Systems

Rajesh Tanna*, 0**
* Assistant Professor, Department of Electrical and Electronics Engineering, Vignan Institute of Information Technology, Andhra Pradesh, India.
** Professor & Principal, Vignan Institute of Information Technology, Visakhapatnam, Andhra Pradesh, India.
Periodicity:November - January'2016
DOI : https://doi.org/10.26634/jic.4.1.3776

Abstract

Many systems that arise in practice are complex in nature and of a higher-order. The mathematical procedures of modeling such systems lead to a comprehensive description of the process in the form of complex, higher-order transfer functions or state-space models. This complexity often makes it difficult to obtain a good understanding of the behavior of the system. Therefore, higher-order models are difficult to use for simulation, analysis or controller synthesis, and it is not only desirable, but often necessary to obtain satisfactory reduced-order representations of such higher-order models. The main objective of model order reduction is to obtain a reduced-order approximate of a complex higher-order system that retains and reflects the important characteristics of the original system as closely as possible.

Keywords

Reduced Order Model, CRA (Characteristic Ratio Assignment), AGTM (Approximate Generatized Time Management), SISO (Single Input Signal Output ) Systems

How to Cite this Article?

Tanna, R., and Mary, K.A. (2016). Reduced Order Modelling of Continuous Time SISO Systems. i-manager’s Journal on Instrumentation and Control Engineering, 4(1), 24-31. https://doi.org/10.26634/jic.4.1.3776

References

[1]. Kim Y.C, Keel L.H, and Bhattacharyya S.P, (2003). “Transient Response Control via Characteristic Ratio Assignment”. IEEE Transactions on Automatic Control, Vol.48, pp.2238–2244.
[2]. Kim Y.C, Keel L.H, and Bhattacharyya S.P., (2003). “PID Controller Design with Time Response Specifications”. Proceedings of the American Control Conference, pp. 5005–5010.
[3]. Kim Y.C, Kim K.S, and Manabe S., (2006). “Sensitivity of Time Response To Characteristic Ratios”. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.89, pp. 520–526.s
[4]. Kim Y, (2008). “Transient Response Control”. 17 IFAC World Congress Tutorial Workshop on Advances in 3 Term Control.
[5]. Sarvesh, B, (1995). “Some New Methods For Reducedorder Modeling and Controller Design”. PhD thesis, Indian Institute of Technology, Kharagpur.
[6]. Shamash, Y., (1974). “Stable Reduced-order Models Using Paid- Type Approximations”. IEEE Transactions on Automatic Control, Vol. 19, No. 5, pp. 615-616.
[7]. Hickin, J. and Sinha, N. K., (1980). “Model Reduction for Linear Multivariable Systems”. IEEE Transactions on Automatic Control, Vol. 25, No. 6, pp. 1121-1127.
[8]. Bandekas, D. V. and Papadopoulos, D. P., (1992). “Time Moment and Paid Approximation Methods Applied to the Order Reducti9on of MIMO Linear Systems”. Journal of the Franklin Institute, Vol. 329, No. 3, pp. 521-538.
[9]. J. Van De Vegte, (1987). “Classical Design, With Application To A 3x3 Turbofan Engine Model”. International Journal of Control, Vol. 45, No. 1, pp. 1-16.
[10]. Krishna Murthy V., and Seshadri V., (1978). “Model reduction using the Routh stability criterion”. IEEE Transactions on Automatic Control, Vol. AC-23, No.4.
[11]. Ashoor N., and Singh V, (1982). “A Note On Low-order Modeling”. IEEE Transactions on Automatic Control, Vol.27, No.5.
[12]. Pal J, Sarvesh B , and Ghosh M.K., (1995). “A New Method For Model Order Reduction”. Journal of the IETE, Vol. 41, Nos. 5 & 6, pp. 305-311.
[13]. Chen C.T., (1987). “Introduction To The Linear Algebraic Method For Control System Design”. IEEE Transactions on Control System Management, Vol. 7, No. 5, pp. 36-42.s
[14]. C. T. Chen and B. Seo, (1989). “Application of the Linear Algebraic Method For Control System Design”. IEEE Transactions on Control System Management, Vol. 10, No. 1.
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Online 200 35 35 200 15
Pdf 35 35 200 20
Pdf & Online 35 35 400 25

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.