Skip to main content
  • 1259 Accesses

An algebraic model for interconnected dynamic systems with dead time is proposed. The model structure separates the system dynamics and connections into two sets of equations in which the dynamic equation is invariant under changes in system interconnections. Useful properties of the characteristic connection matrix of the resulting model are illustrated through applications of the theoretical results for feedback connections and for model inversion. It is shown that the former can guide the design of control structures in industrial plants before modelling their dynamics whilst the latter can optimize block diagram connections to ensure causal dynamic blocks where possible.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Maciejowski, M (1989). Multivariable feedback design. Addison-Wesley, Wokingham.

    MATH  Google Scholar 

  • Guan, Z-H, G. Chen, X. Yu and Y. Qin. (2002). Robust decentralized stabilization for a class of large-scale time-delay uncertain impulsive dynamical systems. Automatica, 38, p2075-2084.

    Article  MATH  MathSciNet  Google Scholar 

  • Rosenbrock, H.H. (1974). Computer-aided control system design. Academic Press, London.

    Google Scholar 

  • Siljak, D.D. (1996). Decentralized control and computations: Status and prospects. A. Rev. Control, 20, 131-141.

    Article  Google Scholar 

  • Callier, F.M., W.S. Chan and C.A. Desoer. (1978) Input-output stability of interconnected systems using decompositions. IEEE Trans. Automatic Control, AC-23 (2), 150-162.

    Article  MathSciNet  Google Scholar 

  • Groumpos, P.P and A.V. Pagalos. (1998) A two-level structural model for large scale systems. Computers in Industry, 36, 147-154.

    Article  Google Scholar 

  • Guo Y, D.J. Hill and Y. Wang. (2000). Nonlinear decentralized control of large-scale power systems. Automatica, 36, 1275-1289

    Article  MATH  Google Scholar 

  • Hovd, M, R.D. Braatz and S. Skogestad (1997). SVD controllers for [H2 ]-, [H_∞ ]- and [μ ]- optimal control. Automatica, 33 (3), 433-439.

    Article  MATH  MathSciNet  Google Scholar 

  • Michel, A.N. (1983). On the status of stability of interconnected systems. IEEE Trans. Automatic Control, AC-28 (6), June 1983, p639-652.

    Google Scholar 

  • Siljak, D.D. (1991). Decentralized control of complex systems. Academic Press, Boston.

    Google Scholar 

  • VanAntwerp, J.G., A.P. Featherstone, R.D. Braatz. (2001). Robust cross-directional control of large scale sheet and film processes. J. Process Control, 11, 149-177.

    Article  Google Scholar 

  • Zhisheng Duan, Jin-Zhi Wang and Lin Huang (2005). Input and output nonlinear systems. IEEE Transactions on Circuits and Systems, 52(3), 567-575

    Article  MathSciNet  Google Scholar 

  • Braae, M. (2003). A connection theory for the analysis of large-scale systems. Proc. First African Control Conference, Cape Town, 3-5 December, p486-491.

    Google Scholar 

  • Dougherty, D and D. Cooper (2003). A practical multiple model adaptive strategy for single-loop MPC, Control Engineering Practice, 11(2), p141-159.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer Science+Business Media B.V.

About this paper

Cite this paper

Braae, M. (2008). Use Of A Connection Model For Dynamic Systems. In: Sobh, T., Elleithy, K., Mahmood, A., Karim, M.A. (eds) Novel Algorithms and Techniques In Telecommunications, Automation and Industrial Electronics. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8737-0_30

Download citation

  • DOI: https://doi.org/10.1007/978-1-4020-8737-0_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-8736-3

  • Online ISBN: 978-1-4020-8737-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics