Quantization Behaviors in Equivalent-Control Based Sliding-Mode Control Systems

  • Yan YanEmail author
  • Xinghuo Yu
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 440)


In this chapter, we study the quantization behaviors of the equivalent control based second order single-input sliding-mode control (SMC) systems in the presence of quantized state feedback.We show that the class of SMC systems with both uniform and logarithmic quantizers can make the system states converge into a band, which relates to the quantization parameters. Properties of the system trajectories with quantized state feedback are characterized by using the concepts of quantized sliding mode (QSM) and quantized sliding-mode control (QSMC) system. We show that the QSM is piecewise constant. Various simulations illustrate the behaviors of the equivalent-control based SMC system under uniform and logarithmic quantized state feedback.


Quantization Error Equivalent Control Quantization Behavior Uniform Quantizer Variable Structure System 
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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.School of Information Science and TechnologyDalian Maritime UniversityDalianChina
  2. 2.School of Electrical and Computer EngineeringRMIT UniversityMelbourneAustralia
  3. 3.School of AutomationSoutheast UniversityNanjingChina

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