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Variable Structure Disturbance Rejection Control for Nonlinear Uncertain Systems with State and Control Delays via Optimal Sliding Mode Surface Approach
Joint Authors
She, Yu-Mei
Zhang, Tian-Jun
Lei, Jing
Wang, Xin
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-10
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The paper considers the problem of variable structure control for nonlinear systems with uncertainty and time delays under persistent disturbance by using the optimal sliding mode surface approach.
Through functional transformation, the original time-delay system is transformed into a delay-free one.
The approximating sequence method is applied to solve the nonlinear optimal sliding mode surface problem which is reduced to a linear two-point boundary value problem of approximating sequences.
The optimal sliding mode surface is obtained from the convergent solutions by solving a Riccati equation, a Sylvester equation, and the state and adjoint vector differential equations of approximating sequences.
Then, the variable structure disturbance rejection control is presented by adopting an exponential trending law, where the state and control memory terms are designed to compensate the state and control delays, a feedforward control term is designed to reject the disturbance, and an adjoint compensator is designed to compensate the effects generated by the nonlinearity and the uncertainty.
Furthermore, an observer is constructed to make the feedforward term physically realizable, and thus the dynamical observer-based dynamical variable structure disturbance rejection control law is produced.
Finally, simulations are demonstrated to verify the effectiveness of the presented controller and the simplicity of the proposed approach.
American Psychological Association (APA)
Lei, Jing& Wang, Xin& She, Yu-Mei& Zhang, Tian-Jun. 2013. Variable Structure Disturbance Rejection Control for Nonlinear Uncertain Systems with State and Control Delays via Optimal Sliding Mode Surface Approach. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-449005
Modern Language Association (MLA)
Lei, Jing…[et al.]. Variable Structure Disturbance Rejection Control for Nonlinear Uncertain Systems with State and Control Delays via Optimal Sliding Mode Surface Approach. Abstract and Applied Analysis No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-449005
American Medical Association (AMA)
Lei, Jing& Wang, Xin& She, Yu-Mei& Zhang, Tian-Jun. Variable Structure Disturbance Rejection Control for Nonlinear Uncertain Systems with State and Control Delays via Optimal Sliding Mode Surface Approach. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-449005
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449005