Discrete-Time Exponentially Stabilizing Fuzzy Sliding Mode Control via Lyapunov’s Method
Joint Authors
Jovanović, Radiša Ž.
Bučevac, Zoran M.
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The exponentially stabilizing state feedback control algorithm is developed by Lyapunov’s second method leading to the variable structure system with chattering free sliding modes.
Linear time-invariant discrete-time second order plant is considered and the control law is obtained by using a simple fuzzy controller.
The analytical structure of the proposed controller is derived and used to prove exponential stability of sliding subspace.
Essentially, the control algorithm drives the system from an arbitrary initial state to a prescribed so-called sliding subspace S, in finite time and with prescribed velocity estimate.
Inside the sliding subspace S, the system is switched to the sliding mode regime and stays in it forever.
The proposed algorithm is tested on the real system in practice, DC servo motor, and simulation and experimental results are given.
American Psychological Association (APA)
Jovanović, Radiša Ž.& Bučevac, Zoran M.. 2015. Discrete-Time Exponentially Stabilizing Fuzzy Sliding Mode Control via Lyapunov’s Method. Advances in Fuzzy Systems،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1052427
Modern Language Association (MLA)
Jovanović, Radiša Ž.& Bučevac, Zoran M.. Discrete-Time Exponentially Stabilizing Fuzzy Sliding Mode Control via Lyapunov’s Method. Advances in Fuzzy Systems No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1052427
American Medical Association (AMA)
Jovanović, Radiša Ž.& Bučevac, Zoran M.. Discrete-Time Exponentially Stabilizing Fuzzy Sliding Mode Control via Lyapunov’s Method. Advances in Fuzzy Systems. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1052427
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052427