State Synchronization for a Class of n-Dimensional Nonlinear Systems with Sector Input Nonlinearity via Adaptive Two-Stage Sliding Mode Control
Joint Authors
Wang, Kun-Chieh
Yang, Chi-Hsin
Wu, Long
Wen, Ren
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-04
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This study addresses an adaptive two-stage sliding mode control (SMC) scheme for the state synchronization between two identical systems, which belong to a kind of n-dimensional chaotic system, by considering the appearance of lumped system uncertainties and external disturbances.
The controlled system is assumed to be attached to sector nonlinearity for the control input.
The proposed adaptive control scheme involves time-variable state-feedback gains, which are updated in accordance with the appropriate adapted rules without foreknown the certain information of nonlinear system dynamics, bounds of lumped system uncertainties and external disturbances, and sector input nonlinearity.
The derivation of the control scheme is found based on the introduced sequence of two sliding functions.
The stage 1 sliding function is defined by the states of the error dynamical system, where the asymptotical stability is inherent.
Then, the stage 2 sliding function is formed by the stage 1 function, where the finite-time stabilization is guaranteed.
The proposed adaptive control scheme can cope with the effect of sector nonlinearity for the control to meet the control goal.
The sufficient conditions of the stability of the error dynamical system are proven mathematically by means of the Lyapunov theorem.
Besides, the capacity of the present scheme is carried out by the numerical studies.
American Psychological Association (APA)
Yang, Chi-Hsin& Wang, Kun-Chieh& Wu, Long& Wen, Ren. 2020. State Synchronization for a Class of n-Dimensional Nonlinear Systems with Sector Input Nonlinearity via Adaptive Two-Stage Sliding Mode Control. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1195916
Modern Language Association (MLA)
Yang, Chi-Hsin…[et al.]. State Synchronization for a Class of n-Dimensional Nonlinear Systems with Sector Input Nonlinearity via Adaptive Two-Stage Sliding Mode Control. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1195916
American Medical Association (AMA)
Yang, Chi-Hsin& Wang, Kun-Chieh& Wu, Long& Wen, Ren. State Synchronization for a Class of n-Dimensional Nonlinear Systems with Sector Input Nonlinearity via Adaptive Two-Stage Sliding Mode Control. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1195916
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195916