Reaching phase elimination in variable structure control of the third order system with state constraints
Andrzej Bartoszewicz; A. Nowacka
Kybernetika (2006)
- Volume: 42, Issue: 1, page 111-126
- ISSN: 0023-5954
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topBartoszewicz, Andrzej, and Nowacka, A.. "Reaching phase elimination in variable structure control of the third order system with state constraints." Kybernetika 42.1 (2006): 111-126. <http://eudml.org/doc/33795>.
@article{Bartoszewicz2006,
abstract = {In this paper the design of a time varying switching plane for the sliding mode control of the third order system subject to the velocity and acceleration constraints is considered. Initially the plane passes through the system representative point in the error state space and then it moves with a constant velocity to the origin of the space. Having reached the origin the plane stops and remains motionless. The plane parameters (determining angles of inclination and the velocity of its motion) are selected to ensure the minimum integral absolute error without violating velocity and acceleration constraints. The optimal parameters of the plane for the system subject to the acceleration constraint are derived analytically, and it is strictly proved that when both the system velocity and acceleration are limited, the optimal parameters can be easily found using any standard numerical procedure for solving nonlinear equations. The equation to be solved is derived and the starting points for the numerical procedure are given.},
author = {Bartoszewicz, Andrzej, Nowacka, A.},
journal = {Kybernetika},
keywords = {variable structure systems; sliding mode control; switching plane design; variable structure system; sliding mode control; switching plane design},
language = {eng},
number = {1},
pages = {111-126},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Reaching phase elimination in variable structure control of the third order system with state constraints},
url = {http://eudml.org/doc/33795},
volume = {42},
year = {2006},
}
TY - JOUR
AU - Bartoszewicz, Andrzej
AU - Nowacka, A.
TI - Reaching phase elimination in variable structure control of the third order system with state constraints
JO - Kybernetika
PY - 2006
PB - Institute of Information Theory and Automation AS CR
VL - 42
IS - 1
SP - 111
EP - 126
AB - In this paper the design of a time varying switching plane for the sliding mode control of the third order system subject to the velocity and acceleration constraints is considered. Initially the plane passes through the system representative point in the error state space and then it moves with a constant velocity to the origin of the space. Having reached the origin the plane stops and remains motionless. The plane parameters (determining angles of inclination and the velocity of its motion) are selected to ensure the minimum integral absolute error without violating velocity and acceleration constraints. The optimal parameters of the plane for the system subject to the acceleration constraint are derived analytically, and it is strictly proved that when both the system velocity and acceleration are limited, the optimal parameters can be easily found using any standard numerical procedure for solving nonlinear equations. The equation to be solved is derived and the starting points for the numerical procedure are given.
LA - eng
KW - variable structure systems; sliding mode control; switching plane design; variable structure system; sliding mode control; switching plane design
UR - http://eudml.org/doc/33795
ER -
References
top- Bartoszewicz A., 10.1016/0005-1098(95)00122-1, Automatica 31 (1995), 1893–1895 (1995) Zbl0850.93147MR1364694DOI10.1016/0005-1098(95)00122-1
- Bartoszewicz A., Time-varying sliding modes for second-order systems, Proc. IEE-D Control Theory and Applications 143 (1996), 455–462 (1996) Zbl0867.93020
- Choi S. B., Cheong C. C., Park D. W., 10.1080/00207179308922999, Internat. J. Control 58 (1993), 229–245 (1993) Zbl0777.93012MR1222145DOI10.1080/00207179308922999
- Choi S. B., Park D. W., 10.1115/1.2900671, Trans. ASME J. Dynamic Systems Measurement and Control 116 (1994), 154–158 (1994) DOI10.1115/1.2900671
- Choi S. B., Park D. W., Jayasuriya S., 10.1016/0005-1098(94)90180-5, Automatica 30 (1994), 899–904 (1994) Zbl0800.93202MR1276540DOI10.1016/0005-1098(94)90180-5
- DeCarlo R. S., Żak, S., Mathews G., Variable structure control of nonlinear multivariable systems: a tutorial, Proc. IEEE 76 (1988), 212–232 (1988)
- Hung J. Y., Gao, W., Hung J. C., 10.1109/41.184817, IEEE Trans. Industrial Electronics 40 (1993), 2–22 (1993) DOI10.1109/41.184817
- Slotine J. J., Li W., Applied Nonlinear Control, Prentice–Hall, Englewood Cliffs, NJ 1991 Zbl0753.93036
- Tokat S., Eksin, I., Gűzelkaya M., A new design method for sliding mode controllers using a linear time-varying sliding surface, Proc. Inst. Mechanical Engineers – Part I 216 (2002), 455–466
- Tokat S., Eksin I., Gűzelkaya, M., Sőylemez M. T., 10.1191/0142331203tm079oa, Trans. Inst. of Measurement and Control 25 (2003), 145–162 DOI10.1191/0142331203tm079oa
- Utkin V., 10.1109/TAC.1977.1101446, IEEE Trans. Automat. Control 22 (1977), 212–222 (1977) Zbl0382.93036MR0484664DOI10.1109/TAC.1977.1101446
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