| Title:
|
Design of a model following control system for nonlinear descriptor system in discrete time (English) |
| Author:
|
Wu, Shujing |
| Author:
|
Okubo, Shigenori |
| Author:
|
Wang, Dazhong |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
44 |
| Issue:
|
4 |
| Year:
|
2008 |
| Pages:
|
546-556 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
discrete-time system |
| Keyword:
|
descriptor |
| Keyword:
|
model following control system |
| Keyword:
|
nonlinear control system |
| Keyword:
|
disturbance |
| MSC:
|
62A10 |
| MSC:
|
62F15 |
| MSC:
|
62K05 |
| MSC:
|
93B51 |
| MSC:
|
93C10 |
| MSC:
|
93C55 |
| MSC:
|
93E12 |
| idZBL:
|
Zbl 1173.93387 |
| idMR:
|
MR2459072 |
| . |
| Date available:
|
2009-09-24T20:37:56Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135873 |
| . |
| Reference:
|
[1] Byrnes C. I., Isidori A.: Asymptotic stabilization of minimum phase nonlinear systems.IEEE Trans. Automat. Control 36 (1991), 10, 1122–1137 Zbl 0758.93060, MR 1125894 |
| Reference:
|
[2] Casti J. L.: Nonlinear Systems Theory.Academic Press, London 1985 MR 0777143 |
| Reference:
|
[3] Furuta K.: Digital Control.Corona Publishing Company, Tokyo 1989 Zbl 0615.93060 |
| Reference:
|
[4] Isidori A.: Nonlinear Control Systems.Third edition. Springer-Verlag, Berlin 1995 Zbl 0931.93005, MR 1410988 |
| Reference:
|
[5] Khalil H. K.: Nonlinear Systems.MacMillan Publishing Company, New York 1992 Zbl 1140.93456, MR 1201326 |
| Reference:
|
[6] Mita T.: Digital Control Theory.Shokoto Company, Tokyo 1984 |
| Reference:
|
[7] Mori Y.: Control Engineering.Corona Publishing Company, Tokyo 2001 |
| Reference:
|
[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 |
| Reference:
|
[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 |
| Reference:
|
[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 |
| Reference:
|
[11] Okubo S.: Nonlinear model following control system using stable zero assignment.Trans. Society of Instrument and Control Engineers 28 (1992), 8, 939–946 |
| Reference:
|
[12] Takaxashi Y.: Digital Control.Iwahami Shoten, Tokyo 1985 |
| Reference:
|
[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 |
| . |
