Sliding mode control for non-linear systems by Takagi-Sugeno fuzzy model and delta operator approaches
- Authors
- Wang, Jiahui; Gao, Yabin; Qiu, Jianbin; Ahn, Choon Ki
- Issue Date
- 12-5월-2017
- Publisher
- INST ENGINEERING TECHNOLOGY-IET
- Keywords
- variable structure systems; nonlinear control systems; mathematical operators; adaptive control; actuators; discrete time systems; reduced order systems; linear matrix inequalities; closed loop systems; control system synthesis; fault tolerant control; fuzzy systems; adaptive sliding mode control; discrete-time Takagi-Sugeno fuzzy systems; actuator faults; external disturbances; delta operator method; discrete-time nonlinear systems; T-S fuzzy models; linear matrix inequality constraint; uniform ultimately bounded closed-loop system; fault-tolerant control scheme
- Citation
- IET CONTROL THEORY AND APPLICATIONS, v.11, no.8, pp.1205 - 1213
- Indexed
- SCIE
SCOPUS
- Journal Title
- IET CONTROL THEORY AND APPLICATIONS
- Volume
- 11
- Number
- 8
- Start Page
- 1205
- End Page
- 1213
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/83464
- DOI
- 10.1049/iet-cta.2016.0231
- ISSN
- 1751-8644
- 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.
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