Robust discrete-time sliding mode control for uncertain systems with time-varying state delay

Author(s): M. Yan and Y. Shi
DOI: 10.1049/iet-cta:20070460

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Author(s): M. Yan ^{1, 2} and Y. Shi ²
- Affiliations: 1: School of Electronics and Control Engineering, Chang'an University, Xi'an, People's Republic of China
  2: Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, Canada
Source: Volume 2, Issue 8, August 2008, p. 662 – 674
DOI: 10.1049/iet-cta:20070460 , Print ISSN 1751-8644, Online ISSN 1751-8652

A robust discrete-time sliding mode control (DT-SMC) for uncertain linear systems with unknown time-varying state delay is analysed, in which uncertainties consist of mismatched uncertain parameters and unknown bounded nonlinear function. By using the linear matrix inequality approach, a sufficient condition for the existence of stable sliding surfaces depending on the lower and upper delay bounds is established. On the basis of this existence condition, the synthesised DT-SMC can guarantee the sliding mode reaching condition of the specified discrete-time sliding surface. Two examples verify the effectiveness of the proposed method.

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Robust discrete-time sliding mode control for uncertain systems with time-varying state delay

Robust discrete-time sliding mode control for uncertain systems with time-varying state delay

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