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Encoder/decoder mismatch for input quantisation with discrete time [K,KL] sector
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DOI：10.1080/00207721.2025.2467839.png)
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Abstract
En 中文
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[K,KL]sector is designed by means of Matrosov's results which satisfyKL-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.
Keywords:
Discrete-time [K
KL] sector
KL-stability
hands-off control
quantisation
control-Lyapunov function
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