ABSTRACT Sliding mode quantisers (SMQs), where signals are converted to switching signals represented by the sequence of binary values 's and 's, are increasingly being used in various applications including control of power converters, networked control systems (NCSs), one-bit control processing, etc. This paper derives the stability conditions of nonlinear control system embedded with SMQ-based Δ-M. The equivalence conditions of the proposed SMQ, which assure that its binary outputs are equivalent to its inputs, are established. The results of theoretical analysis are validated through simulation considering an example of the underwater vehicle control system, where the transmission bit-rate is limited by . The results of the simulation demonstrates that the quantised feedback signals effectively control the system and achieves both the desired specifications and the bandwidth reduction.

中文翻译：

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两级量化控制系统：滑模方法

摘要 滑模量化器 (SMQ)，其中信号被转换为由二进制值序列表示的开关信号，越来越多地用于各种应用，包括电源转换器的控制、网络控制系统 (NCS)、单-位控制处理等。本文推导了嵌入基于SMQ的Δ-M非线性控制系统的稳定性条件。所提议的 SMQ 的等效条件已建立，该条件确保其二进制输出与其输入等效。以传输比特率受限于 的水下航行器控制系统为例，通过仿真验证了理论分析的结果。