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Encoder/decoder mismatch for input quantisation with discrete time [K,KL] sector

Author

Listed:
  • Sonali Singh
  • Ankit Sachan
  • Jitendra Kumar Goyal
  • Shubhi Purwar
  • Xiaogang Xiong

Abstract

This study concerns with hands-off control for the discrete-time nonlinear system related to the encoder/decoder mismatched input channel. For this, a Lyapunov function is constructed for a discrete-time nonlinear system with equilibrium point at origin by solving a convex semi-infinite algorithm for a computationally feasible problem. Next, a discrete-time $ \mathcal {[K,KL]} $ [K,KL] sector is designed by means of Matrosov's results which satisfy $ \mathcal {KL} $ KL-stability inside it. The quantisation parameters exhibit a time-varying ratio due to non-synchronous adjustment that causes quantisation discrepancy issue attenuated by an On-Off logic-based control and the Lyapunov stability is analysed. The proposed approach is illustrated by Matlab simulation of a nonlinear circuit.

Suggested Citation

  • Sonali Singh & Ankit Sachan & Jitendra Kumar Goyal & Shubhi Purwar & Xiaogang Xiong, 2025. "Encoder/decoder mismatch for input quantisation with discrete time [K,KL] sector," International Journal of Systems Science, Taylor & Francis Journals, vol. 56(14), pages 3289-3302, October.
    • Handle: RePEc:taf:tsysxx:v:56:y:2025:i:14:p:3289-3302
    DOI: 10.1080/00207721.2025.2467839
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