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Stability of nonlinear uncertain Lipschitz systems over the digital noiseless channel

Farhadi, A ; Sharif University of Technology | 2018

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  1. Type of Document: Article
  2. DOI: 10.24200/sci.2017.4370
  3. Publisher: Sharif University of Technology , 2018
  4. Abstract:
  5. This paper is concerned with the stability of nonlinear Lipschitz systems subject to bounded process and measurement noises when transmission from sensor to controller is subject to distortion due to quantization. A stabilizing technique and a sufficient condition relating transmission rate to Lipschitz coefficients are presented for almost sure asymptotic bounded stability of nonlinear uncertain Lipschitz systems. In the absence of process and measurement noises, it is shown that the proposed stabilizing technique results in almost sure asymptotic stability. Computer simulations illustrate the satisfactory performance of the proposed technique for almost sure asymptotic bounded stability and asymptotic stability. © 2018 Sharif University of Technology. All rights reserved
  6. Keywords:
  7. Lipschitz nonlinear system ; Networked control system ; The digital noise-less channel ; Uncertain dynamic system ; Asymptotic stability ; Networked control systems ; Spurious signal noise ; Almost sure asymptotic stabilities ; Bounded stability ; Digital noise ; Lipschitz nonlinear systems ; Noiseless channels ; Nonlinear Lipschitz systems ; Transmission rates ; Uncertain dynamic systems ; System stability ; Computer simulation ; Measurement method ; Nonlinearity ; Performance assessment ; Quantum mechanics ; Sensor ; Uncertainty analysis
  8. Source: Scientia Iranica ; Volume 25, Issue 3D , 2018 , Pages 1523-1532 ; 10263098 (ISSN)
  9. URL: http://scientiairanica.sharif.edu/article_4370.html