Design of estimator-based sliding-mode output-feedback controllers for discrete-time systems

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Original languageEnglish
Article number6566053
Pages (from-to)2432-2440
Journal / PublicationIEEE Transactions on Industrial Electronics
Issue number5
Online published23 Jul 2013
Publication statusPublished - May 2014


This paper considers the output-feedback sliding-mode-control (SMC) problem for a class of discrete-time systems with matched disturbances. A novel approach to the design of the sliding surface is proposed, which is based on a novel result on discrete-time singular systems. For the state variables which cannot be obtained from output variables directly, a simple estimator is proposed to estimate them. Then, the estimator-based robust SMC law is also proposed by using a new reaching law. It is further shown that the closed-loop control system is uniformly ultimately bounded. Furthermore, a memory-based sliding-mode controller with a modified estimator is also proposed. Finally, numerical examples are given to illustrate the effectiveness of the proposed design methods. © 2013 IEEE.

Research Area(s)

  • Discrete quasi-sliding mode, static output feedback, uniform ultimate boundedness