Sliding mode control for linear systems with time-varying input and state delays

Yuanqing Xia; Hongjiu Yang; Mengyin Fu; Peng Shi

doi:10.1007/s00034-010-9237-x

Sliding mode control for linear systems with time-varying input and state delays

Yuanqing Xia^*
, Hongjiu Yang
, Mengyin Fu
, Peng Shi

^*Corresponding author for this work

School of Automation

Beijing Institute of Technology
University of South Wales
Victoria University

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

Abstract

This paper deals with a sliding mode control for linear systems with input and state time-varying delays. Two different time delays are considered for the sliding mode control of a continuous linear system. Delay-dependent sufficient conditions are given for the existence of sliding manifolds in terms of linear matrix inequalities. A reaching motion controller is also proposed for such systems by means of both reaching law and inequality approach. An inverted pendulum system is utilized to illustrate the effectiveness of the developed techniques.

Original language	English
Pages (from-to)	629-641
Number of pages	13
Journal	Circuits, Systems, and Signal Processing
Volume	30
Issue number	3
DOIs	https://doi.org/10.1007/s00034-010-9237-x
Publication status	Published - Jun 2011

Keywords

Delay-dependent stability
Input-state delay
Linear matrix inequality
Sliding mode control

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abstract = "This paper deals with a sliding mode control for linear systems with input and state time-varying delays. Two different time delays are considered for the sliding mode control of a continuous linear system. Delay-dependent sufficient conditions are given for the existence of sliding manifolds in terms of linear matrix inequalities. A reaching motion controller is also proposed for such systems by means of both reaching law and inequality approach. An inverted pendulum system is utilized to illustrate the effectiveness of the developed techniques.",

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AB - This paper deals with a sliding mode control for linear systems with input and state time-varying delays. Two different time delays are considered for the sliding mode control of a continuous linear system. Delay-dependent sufficient conditions are given for the existence of sliding manifolds in terms of linear matrix inequalities. A reaching motion controller is also proposed for such systems by means of both reaching law and inequality approach. An inverted pendulum system is utilized to illustrate the effectiveness of the developed techniques.

KW - Delay-dependent stability

KW - Input-state delay

KW - Linear matrix inequality

KW - Sliding mode control

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Sliding mode control for linear systems with time-varying input and state delays

Abstract

Keywords

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