Design of a model following control system for nonlinear descriptor system in discrete time

Shujing Wu; Shigenori Okubo; Dazhong Wang

Kybernetika (2008)

  • Volume: 44, Issue: 4, page 546-556
  • ISSN: 0023-5954

Abstract

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A model following control system (MFCS) can output general signals following the desired ones. In this paper, a method of nonlinear MFCS will be extended to be a nonlinear descriptor system in discrete time. The nonlinear system studied in this paper has the property of norm constraint | | f ( v ( k ) ) | | ≤ α + β | | v ( k ) | | γ , where α ≥ 0 , β ≥ 0 , 0 ≤ γ < 1 . In this case, a new criterion is proposed to ensure the internal states be stable.

How to cite

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Wu, Shujing, Okubo, Shigenori, and Wang, Dazhong. "Design of a model following control system for nonlinear descriptor system in discrete time." Kybernetika 44.4 (2008): 546-556. <http://eudml.org/doc/33949>.

@article{Wu2008,
abstract = {A model following control system (MFCS) can output general signals following the desired ones. In this paper, a method of nonlinear MFCS will be extended to be a nonlinear descriptor system in discrete time. The nonlinear system studied in this paper has the property of norm constraint $||f(v(k))||\le \alpha +\beta ||v(k)||^\gamma $, where $\alpha \ge 0$, $\beta \ge 0$ , $0\le \gamma <1$. In this case, a new criterion is proposed to ensure the internal states be stable.},
author = {Wu, Shujing, Okubo, Shigenori, Wang, Dazhong},
journal = {Kybernetika},
keywords = {discrete-time system; descriptor; model following control system; nonlinear control system; disturbance; discrete-time system; descriptor; model following control system; nonlinear control system; disturbance},
language = {eng},
number = {4},
pages = {546-556},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Design of a model following control system for nonlinear descriptor system in discrete time},
url = {http://eudml.org/doc/33949},
volume = {44},
year = {2008},
}

TY - JOUR
AU - Wu, Shujing
AU - Okubo, Shigenori
AU - Wang, Dazhong
TI - Design of a model following control system for nonlinear descriptor system in discrete time
JO - Kybernetika
PY - 2008
PB - Institute of Information Theory and Automation AS CR
VL - 44
IS - 4
SP - 546
EP - 556
AB - A model following control system (MFCS) can output general signals following the desired ones. In this paper, a method of nonlinear MFCS will be extended to be a nonlinear descriptor system in discrete time. The nonlinear system studied in this paper has the property of norm constraint $||f(v(k))||\le \alpha +\beta ||v(k)||^\gamma $, where $\alpha \ge 0$, $\beta \ge 0$ , $0\le \gamma <1$. In this case, a new criterion is proposed to ensure the internal states be stable.
LA - eng
KW - discrete-time system; descriptor; model following control system; nonlinear control system; disturbance; discrete-time system; descriptor; model following control system; nonlinear control system; disturbance
UR - http://eudml.org/doc/33949
ER -

References

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  6. Mita T., Digital Control Theory, Shokoto Company, Tokyo 1984 
  7. Mori Y., Control Engineering, Corona Publishing Company, Tokyo 2001 
  8. Okubo S., A design of nonlinear model following control system with disturbances, Trans. Society of Instrument and Control Engineers 21 (1985), 8, 792–799 (1985) 
  9. Okubo S., A nonlinear model following control system with containing unputs in nonlinear parts, Trans. Society of Instrument and Control Engineers 22 (1986), 6, 792–799 (1986) 
  10. Okubo S., Nonlinear model following control system with unstable zero points of the linear part, Trans. Society of Instrument and Control Engineers 24 (1988), 9, 920–926 (1988) 
  11. Okubo S., Nonlinear model following control system using stable zero assignment, Trans. Society of Instrument and Control Engineers 28 (1992), 8, 939–946 (1992) 
  12. Takaxashi Y., Digital Control, Iwahami Shoten, Tokyo 1985 
  13. Zhang Y., Okubo S., A design of discrete time nonlinear model following control system with disturbances, Trans. Inst. Electrical Engineers of Japan 117–C (1997), 8, 1113–1118 (1997) 

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