Decentralized Control for Large-Scale Interconnected Nonlinear Systems Based on Barrier Lyapunov Function
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-04
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We present a novel decentralized tracking control scheme for a class of large-scale nonlinear systems with partial state constraints.
For the first time, backstepping design with the newly proposed BLF is incorporated to effectively deal with the control problem of nonlinear systems with interconnected constraints.
To prevent the states of each subsystem from violating the constraints, we employ a special barrier Lyapunov function (BLF), which grows to infinity whenever its argument approaches some finite limits.
By ensuring boundedness of the barrier Lyapunov function in the closed loop, we ensure that those limits are not transgressed.
Asymptotic tracking is achieved without violation of the constraints, and all closed-loop signals remain bounded.
In the end, an illustrative example is presented to demonstrate the performance of the proposed control.
American Psychological Association (APA)
Guo, Tao. 2015. Decentralized Control for Large-Scale Interconnected Nonlinear Systems Based on Barrier Lyapunov Function. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1073973
Modern Language Association (MLA)
Guo, Tao. Decentralized Control for Large-Scale Interconnected Nonlinear Systems Based on Barrier Lyapunov Function. Mathematical Problems in Engineering No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1073973
American Medical Association (AMA)
Guo, Tao. Decentralized Control for Large-Scale Interconnected Nonlinear Systems Based on Barrier Lyapunov Function. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1073973
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073973