Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1205-1213 |
| Number of pages | 9 |
| Journal | IET Control Theory and Applications |
| Volume | 11 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2017 May 12 |
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ASJC Scopus subject areas
- Control and Systems Engineering
- Human-Computer Interaction
- Computer Science Applications
- Control and Optimization
- Electrical and Electronic Engineering
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Sliding mode control for non-linear systems by Takagi-Sugeno fuzzy model and delta operator approaches. / Wang, Jiahui; Gao, Yabin; Qiu, Jianbin; Ahn, Choon Ki.
In: IET Control Theory and Applications, Vol. 11, No. 8, 12.05.2017, p. 1205-1213.Research output: Contribution to journal › Article
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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
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
VL - 11
SP - 1205
EP - 1213
JO - IET Control Theory and Applications
JF - IET Control Theory and Applications
SN - 1751-8644
IS - 8
ER -