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

Civil Engineering

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