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Finite-Time Output Feedback Controller Based on Observer for the Time-Varying Delayed Systems: A Moore-Penrose Inverse Approach
Joint Authors
Tsai, Yao-Wen
Nguyen, Cong-Trang
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-05-24
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This study proposes a novel variable structure control (VSC) for the mismatched uncertain systems with unknown time-varying delay.
The novel VSC includes the finite-time convergence sliding mode, invariance property, asymptotic stability, and measured output only.
A necessary and sufficient condition guaranteeing the existence of sliding surface is given.
A novel lemma is established to deal with the control design problem for a wider class of time-delay systems.
A suitable reduced-order observer (ROO) is constructed to estimate unmeasured state variables of the systems.
A novel finite-time output feedback controller (FTOFC) is investigated, which is based on the ROO tool and the Moore-Penrose inverse technique.
Moreover, with the help of this lemma and the proposed FTOFC, restrictions on most existing works are also eliminated.
In addition, an asymptotic stability analysis is implemented by means of the feasibility of the linear matrix inequalities (LMIs) and given desirable sliding mode dynamics.
Finally, a MATLAB simulation result on a numerical example is performed to show the effectiveness and advantage of the proposed method.
American Psychological Association (APA)
Nguyen, Cong-Trang& Tsai, Yao-Wen. 2017. Finite-Time Output Feedback Controller Based on Observer for the Time-Varying Delayed Systems: A Moore-Penrose Inverse Approach. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1189938
Modern Language Association (MLA)
Nguyen, Cong-Trang& Tsai, Yao-Wen. Finite-Time Output Feedback Controller Based on Observer for the Time-Varying Delayed Systems: A Moore-Penrose Inverse Approach. Mathematical Problems in Engineering No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1189938
American Medical Association (AMA)
Nguyen, Cong-Trang& Tsai, Yao-Wen. Finite-Time Output Feedback Controller Based on Observer for the Time-Varying Delayed Systems: A Moore-Penrose Inverse Approach. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1189938
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189938