Skip to main content
Log in

Strong decoupling in singular systems

  • Published:
Mathematical systems theory Aims and scope Submit manuscript

Abstract

This paper considers the dynamic decoupling problem under state feedback control in singular systems. Control laws are suggested for a notion of strong decoupling which is characterized by the physical realizability of control laws and the lack of impulsive modes in closed-loop systems.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Campbell, S. L.,Singular Systems of Differential Equations II, Pitman, New York, 1982.

    Google Scholar 

  2. Christodoulou, M. A., Decoupling in the design and synthesis of singular systems,Automatica,22 (1986), 245–250.

    Google Scholar 

  3. Cobb, J. D., Controllability, observability, and duality in singular systems,IEEE Trans. Automat. Control,29 (1984), 1076–1082.

    Google Scholar 

  4. Dai, L., Controllability, observability and system equivalence in singular systems,J. Graduate School, USTC, Academia Sinica,4 (1987), 42–50.

    Google Scholar 

  5. Dai, L., Impulsive modes and causality in singular systems,Internat. J. Control (1989), in press.

  6. Falb, P. L., and W. A. Wolovich, Decoupling in the design and synthesis of multivariable control systems,IEEE Trans. Automat. Control,12 (1967), 651–659.

    Google Scholar 

  7. Fortman, T. E., and K. L. Hitz,An Introduction to Linear Control Systems, Marcel Dekker, New York, 1977.

    Google Scholar 

  8. Kailath, T.,Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1980.

    Google Scholar 

  9. Lewis, F. L., Fundamental, reachability and observability matrices for discrete descriptor systems,IEEE Trans. Automat. Control,30 (1985), 502–505.

    Google Scholar 

  10. Lewis, F. L., A survey of linear singular systems,Circuits Systems Signal Process.,5 (1986), 3–36.

    Google Scholar 

  11. Mertzios, B. G., and M. A. Christodoulou, Decoupling and pole-zero assignment of singular systems with dynamic state feedback,Circuits Systems Signal Process.,5 (1986), 49–68.

    Google Scholar 

  12. Verghese, G. C., B. C. Levy, and T. Kailath, A generalized state-space for singular systems,IEEE Trans. Automat. Control,26 (1981), 811–831.

    Google Scholar 

  13. Wang, C., and L. Dai, Singular dynamic control systems—A survey,Control Theory Appl.,3 (1986), 2–12.

    Google Scholar 

  14. Wonham, W. M.,Linear Multivariable Control—A Geometric Approach, 2nd Edn., Springer-Verlag, New York, 1979.

    Google Scholar 

  15. Wonham, W. M., and A. S. Morse, Decoupling and pole assignment in linear systems: a geometric approach,SIAM J. Control Optim.,8 (1970), 1–18.

    Google Scholar 

  16. Yip, E. L., and E. F. Sincovec, Solvability, controllability, and observability of continuous descriptor systems,IEEE Trans. Automat. Control,26 (1981), 702–707.

    Google Scholar 

  17. Zhou, Z., M. A. Shayman, and T. J. Tarn, Singular systems: a new approach in the time domain,IEEE Trans. Automat. Control,32 (1987), 42–50.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This project was supported by the National Natural Science Foundation of China.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dai, L. Strong decoupling in singular systems. Math. Systems Theory 22, 275–289 (1989). https://doi.org/10.1007/BF02088303

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02088303

Keywords

Navigation