In this paper, a new robust wavelet time-variant sliding-mode control (RWTVSMC) for an uncertain nonlinear system is presented. The proposed method is composed of two controllers, based on a time variant sliding equation. For this purpose a neural wavelet controller is designed to approximate an ideal controller based on the wavelet network approximation. Also a robust controller is designed to achieve H∞ tracking performance. New terminologies, rejection parameter and rejection regulator, for filtering all un-modeled frequencies are defined. A time-variant sliding equation based on the time-variant rejection parameter to achieve the best tracking performance is then presented. In addition, two theorems and one lemma which facilitate design of robust wavelet sliding-mode control are proved. Also, two simulation examples are presented to illustrate the performance and the advantages of the proposed method.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
Majid YARAHMADI, Seyed-Mehdi KARBASSI, Ahmad MIRZAEI, "Robust Wavelet Sliding-Mode Control via Time-Variant Sliding Function" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 6, pp. 1181-1189, June 2010, doi: 10.1587/transfun.E93.A.1181.
Abstract: In this paper, a new robust wavelet time-variant sliding-mode control (RWTVSMC) for an uncertain nonlinear system is presented. The proposed method is composed of two controllers, based on a time variant sliding equation. For this purpose a neural wavelet controller is designed to approximate an ideal controller based on the wavelet network approximation. Also a robust controller is designed to achieve H∞ tracking performance. New terminologies, rejection parameter and rejection regulator, for filtering all un-modeled frequencies are defined. A time-variant sliding equation based on the time-variant rejection parameter to achieve the best tracking performance is then presented. In addition, two theorems and one lemma which facilitate design of robust wavelet sliding-mode control are proved. Also, two simulation examples are presented to illustrate the performance and the advantages of the proposed method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.1181/_p
Copy
@ARTICLE{e93-a_6_1181,
author={Majid YARAHMADI, Seyed-Mehdi KARBASSI, Ahmad MIRZAEI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Robust Wavelet Sliding-Mode Control via Time-Variant Sliding Function},
year={2010},
volume={E93-A},
number={6},
pages={1181-1189},
abstract={In this paper, a new robust wavelet time-variant sliding-mode control (RWTVSMC) for an uncertain nonlinear system is presented. The proposed method is composed of two controllers, based on a time variant sliding equation. For this purpose a neural wavelet controller is designed to approximate an ideal controller based on the wavelet network approximation. Also a robust controller is designed to achieve H∞ tracking performance. New terminologies, rejection parameter and rejection regulator, for filtering all un-modeled frequencies are defined. A time-variant sliding equation based on the time-variant rejection parameter to achieve the best tracking performance is then presented. In addition, two theorems and one lemma which facilitate design of robust wavelet sliding-mode control are proved. Also, two simulation examples are presented to illustrate the performance and the advantages of the proposed method.},
keywords={},
doi={10.1587/transfun.E93.A.1181},
ISSN={1745-1337},
month={June},}
Copy
TY - JOUR
TI - Robust Wavelet Sliding-Mode Control via Time-Variant Sliding Function
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1181
EP - 1189
AU - Majid YARAHMADI
AU - Seyed-Mehdi KARBASSI
AU - Ahmad MIRZAEI
PY - 2010
DO - 10.1587/transfun.E93.A.1181
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E93-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2010
AB - In this paper, a new robust wavelet time-variant sliding-mode control (RWTVSMC) for an uncertain nonlinear system is presented. The proposed method is composed of two controllers, based on a time variant sliding equation. For this purpose a neural wavelet controller is designed to approximate an ideal controller based on the wavelet network approximation. Also a robust controller is designed to achieve H∞ tracking performance. New terminologies, rejection parameter and rejection regulator, for filtering all un-modeled frequencies are defined. A time-variant sliding equation based on the time-variant rejection parameter to achieve the best tracking performance is then presented. In addition, two theorems and one lemma which facilitate design of robust wavelet sliding-mode control are proved. Also, two simulation examples are presented to illustrate the performance and the advantages of the proposed method.
ER -