TY - JOUR
T1 - Sliding mode control for non-linear systems by Takagi-Sugeno fuzzy model and delta operator approaches
AU - Wang, Jiahui
AU - Gao, Yabin
AU - Qiu, Jianbin
AU - Ahn, Choon Ki
N1 - Funding Information:
This work was partially supported by the National Natural Science Foundation of China (61374031, 61573070, 61622302, 61673072), Postgraduate Innovation Fundation of Bohai University (071502224-54) and the Special Chinese National Postdoctoral Science Foundation (2015T80262).
PY - 2017/5/12
Y1 - 2017/5/12
N2 - This study considers the problem of adaptive sliding mode control for discrete-time Takagi-Sugeno (T-S) fuzzy systems with actuator faults and external disturbances via the delta operator method. The delta operator approach is used to represent the discrete-time non-linear systems described by T-S fuzzy models. The actuator fault considered in this study is unknown and its fault-deviation is also unknown. A reduced-order system is utilised to design the sliding mode surface subject to linear matrix inequality constraint. By constructing the sliding mode surface, a novel adaptive sliding mode controller is designed to guarantee that the closed-loop system is uniformly ultimately bounded. Finally, two practical examples are presented to show the effectiveness and applicability of the developed fault-tolerant control scheme.
AB - This study considers the problem of adaptive sliding mode control for discrete-time Takagi-Sugeno (T-S) fuzzy systems with actuator faults and external disturbances via the delta operator method. The delta operator approach is used to represent the discrete-time non-linear systems described by T-S fuzzy models. The actuator fault considered in this study is unknown and its fault-deviation is also unknown. A reduced-order system is utilised to design the sliding mode surface subject to linear matrix inequality constraint. By constructing the sliding mode surface, a novel adaptive sliding mode controller is designed to guarantee that the closed-loop system is uniformly ultimately bounded. Finally, two practical examples are presented to show the effectiveness and applicability of the developed fault-tolerant control scheme.
UR - http://www.scopus.com/inward/record.url?scp=85019101945&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85019101945&partnerID=8YFLogxK
U2 - 10.1049/iet-cta.2016.0231
DO - 10.1049/iet-cta.2016.0231
M3 - Article
AN - SCOPUS:85019101945
VL - 11
SP - 1205
EP - 1213
JO - IET Control Theory and Applications
JF - IET Control Theory and Applications
SN - 1751-8644
IS - 8
ER -