Limited Coding-Length-Based Sliding-Mode Control With Adaptive Quantizer's Parameter

• 成果类型: Article
• 署名作者: Li, Jiarui; Niu, Yugang; Ho, Daniel W. C.
• 署名单位: East China University of Science & Technology; Tongji University; City University of Hong Kong
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3172267
• 发表日期: 2022
• 页码: 4738-4745
• 关键词: Encoding; Quantization (signal); Stochastic processes; Linear matrix inequalities; Decoding; Upper bound; system performance; Dynamic parameter adjusting rule; encoding-decoding scheme (EDS); limited coding length; sliding-mode control (SMC)

摘要

In Niu and Ho (2014), an interesting issue was investigated on how an existing controller can still achieve the same control performance under the quantization case by designing the online adjusting strategy for the quantizer's parameter. However, the above-mentioned work ignored the limitation of the coding length in the practical transmitting procedure such that the desirable performance may not be achieved due to the inevitable coding errors. Hence, this article will further consider the above-mentioned issue under the limited coding length. Different coding rules are designed for the quantized states and the adaptive quantizer's parameters. The minimum bound of coding errors is explicitly given, which are dependent on the coding length and the coding range. Moreover, the relation between the coding length and the control performance is established, that is, the coding length has a direct effect on the convergent upper bound of the system state and the sliding domain around the specified sliding surface. Finally, an operational amplifier circuit system is provided to verify the proposed method.