Low-order modelling via discrete stability equations

Access Full Text

Low-order modelling via discrete stability equations

For access to this article, please select a purchase option:

Buy article PDF
£12.50
(plus tax if applicable)
Add to cart
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)
Add to cart

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IEE Proceedings D (Control Theory and Applications) — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

© The Institution of Electrical Engineers
Published

The continuous-time stability equation method is extended to reduce the order of discrete stable high-order transfer functions. The operations of the proposed method are carried out entirely in the z domain. Thus, use of the bilinear transformation is avoided, and considerable savings in computation are achieved. Furthermore, all the desired properties of the stability equation method, such as stability preservation, satisfactory approximation at large times, estimation of the reduced order and accurate preservation of the oscillation frequencies are retained.

Inspec keywords: transfer functions; discrete systems; modelling; stability

Other keywords: discrete stability equations; preservation; z domain; discrete stable high-order transfer functions; low order modelling

Subjects: Control system analysis and synthesis methods; Simulation, modelling and identification; Stability in control theory; Discrete control systems

References

    1. 1)
      • Y.P. Shih , W.T. Wu . Simplification of z-transfer functions by continued fractions. Int. J. Control , 1089 - 1094
    2. 2)
      • C.T. Chen , C.Y. Chang , K.W. Han . Reduction of transfer functions by the stability-equation method. J. Franklin Inst. , 389 - 404
    3. 3)
      • C. Hwang , Y.P. Shih , R.Y. Hwang . A combined time and frequency domain method for model reduction of discrete systems. J: Franklin Inst. , 391 - 402
    4. 4)
      • R.Y. Hwang , Y.P. Shih . Combined methods for model reduction via discrete Laguerre polynomials. Int. J. Control , 615 - 622
    5. 5)
      • C.P. Therapos . Suboptimal control with incomplete state feedback. Electron. Lett. , 996 - 997
    6. 6)
      • T.C. Chen , C.Y. Chang , K.W. Han . Model reduction using the stability equation method and the continued-fraction method. Int. J. Control , 81 - 94
    7. 7)
      • B.W. Wan . Linear model reduction using Mihailov criterion and Pade approximation technique. Int. J. Control , 1073 - 1089
    8. 8)
      • R. Parthasarathy , K.N. Jayasimha . Modelling of linear discrete time systems using modified Cauer continued fraction. J. Franklin Inst. , 79 - 86
    9. 9)
      • Y. Shamash . Continued fraction methods for the reduction of discrete time dynamic systems. Int. J. Control , 267 - 275
    10. 10)
      • C.P. Therapos . Stability equation method to reduce the order of fast oscillating systems. Electron. Lett. , 183 - 184
    11. 11)
      • L.R. Pujara , K.S. Rattan . A frequency matching method for model reduction of digital control systems. Int. J. Control , 139 - 148
    12. 12)
      • V. Ramachandran , C.S. Gargour . Implementation of a stability test of 1-D discrete system based on Schusslers Theorem and some consequent coefficient conditions. J. Franklin Inst. , 341 - 358
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-d.1984.0042
Loading

Related content

content/journals/10.1049/ip-d.1984.0042
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading