Title:
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Robust exponential stability of a class of nonlinear systems (English) |
Author:
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Veselý, Vojtech |
Author:
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Rosinová, Danica |
Language:
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English |
Journal:
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Kybernetika |
ISSN:
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0023-5954 |
Volume:
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34 |
Issue:
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5 |
Year:
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1998 |
Pages:
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[579]-594 |
Summary lang:
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English |
. |
Category:
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math |
. |
Summary:
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The paper addresses the problem of design of a robust controller for a class of nonlinear uncertain systems to guarantee the prescribed decay rate of exponential stability. The bounded deterministic uncertainties are considered both in a studied system and its input part. The proposed approach does not employ matching conditions. (English) |
Keyword:
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robust exponential stability |
Keyword:
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deterministic uncertainties |
Keyword:
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nonlinear system |
Keyword:
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system design |
Keyword:
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robust controller |
MSC:
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93B51 |
MSC:
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93D09 |
MSC:
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93D20 |
idZBL:
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Zbl 1274.93223 |
idMR:
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MR1663744 |
. |
Date available:
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2009-09-24T19:20:47Z |
Last updated:
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2015-03-28 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/135245 |
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Reference:
|
[2] Brogliato B., Neto A. T.: Practical stabilization of a class of nonlinear systems with partially known uncertainties.Automatica 31, (1995), 1, 145–150 Zbl 0825.93650, MR 1312210, 10.1016/0005-1098(94)E0050-R |
Reference:
|
[3] Chua L. Q., Wu C. W., Huang A., Zhong G. Q.: A universal circuit for studying and generating chaos.Part 1. IEEE Trans. Circuits and Systems (1993), 10, 732–744 Zbl 0844.58053, MR 1255706 |
Reference:
|
[4] Corles M.: Control of uncertain nonlinear systems.ASME J. Dyn. Syst. Meas. Control 115 (1993), 362–372 10.1115/1.2899076 |
Reference:
|
[5] Dubrov A. M., Zuber I. E.: Design of exponentially stable control systems for a range of nonlinear processes.Automat. Remote Control (1989), 8, 33–40 MR 1019864 |
Reference:
|
[6] Fradkov A. L., Pogromsky A. Yu., Markov A. Yu.: Adaptive control of chaotic continuously–time systems.In: Proc. 3rd EC Conference, Roma 1995, pp. 3062–3067 |
Reference:
|
[7] Gaiduk A. R.: Analytical controller design for a class of nonlinear systems.Automat. Remote Control (1993), 3, 22–33 |
Reference:
|
[8] Gaiduk A. R.: Analytical nonlinear control systems design.In: Proc. 3rd EC Conference, Roma 1995, pp. 1503–1505 |
Reference:
|
[9] Jury E. I.: Robustness of discrete systems: A review.In: Proc. 11th IFAC World Congres, Tallin 1990, pp. 184–186 MR 1071016 |
Reference:
|
[10] Konstantopoulos I. K., Antsaklis P. J.: New bounds for robust stability of continuous and discrete–time systems under parametric uncertainty.Kybernetika 31 (1995), 6, 623–636 Zbl 0872.93065, MR 1374150 |
Reference:
|
[11] Kozák Š.: Simple and robust PID controller.Appl. Math. Comput. 70 (1995), 2–8 10.1016/0096-3003(94)00119-O |
Reference:
|
[13] Kučera V., DeSouza C. E.: A necessary and sufficient conditions for output feedback stabilizability.Automatica 31 (1995), 1357–1359 MR 1349414, 10.1016/0005-1098(95)00048-2 |
Reference:
|
[14] Leitman G.: One method for robust control of uncertain systems: Theory and practice.Kybernetika 32 (1996), 1, 43–62 MR 1380197 |
Reference:
|
[15] Niculescu S. I., DeSouza C. E., Dugard L., Dion J. M.: Robust exponential stability of uncertain systems with time–varying delays.In: Proc. 3rd EC Conference, Roma 1995, pp. 1802–1807 |
Reference:
|
[16] Poolla K. S., Shamma J. S., Wise K. A.: Linear and nonlinear controller for robust stabilization problem: A survey.In: Proc. 11th IFAC World Congres, Tallin 1990, pp. 176–183 |
Reference:
|
[17] Prokop P., Corriou J. P.: Design and analysis of simple robust controllers.Internat. J. Control 66 (1997), 6, 905–921 Zbl 0875.93137, MR 1686734, 10.1080/002071797224450 |
Reference:
|
[18] Gong, Zhiming, Wen, Changyun, Mital, Dinesh P.: Decentralized robust controller design for a class of interconnected uncertain systems: with known or unknown bound of uncertainty.In: Proc. 3rd EC Conference, Roma 1995, pp. 2940–2945 MR 1391781 |
Reference:
|
[19] Qu, Zhihua, Dorsey J.: Robust control by two Lyapunov functions.Internat J. Control 55 (1992), 1335–1350 Zbl 0751.93019, MR 1170046, 10.1080/00207179208934288 |
Reference:
|
[20] Qu, Zhihua: Asymptotic stability of controlling uncertain dynamical systems.Internat. J. Control 59 (1994), 1345–1355 Zbl 0806.93044, MR 1277266, 10.1080/00207179408923134 |
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