Regulation of Nonlinear Systems Subject to Uniform Output Quantization

• 成果类型: Article
• 署名作者: Castro, Rafael S.; Salton, Aurelio T.; Fu, Minyue; Isidori, Alberto
• 署名单位: Universidade Federal do Rio Grande do Sul; Southern University of Science & Technology; Sapienza University Rome
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3404171
• 发表日期: 2024
• 页码: 7996-8002
• 关键词: Regulation; Quantization (signal); mathematical models; steady-state; POLYNOMIALS; MANIFOLDS; trajectory; internal model principle; Nonlinear systems; output regulation; QUANTIZATION

摘要

This article addresses the problem of controlling a nonlinear plant subject to uniformly quantized measurements to have its output track and/or reject a family of signals produced by some external generator. First, conditions based on passivity and the theory of output regulation are devised to achieve convergence of the quantized error, namely, the difference between the quantized output and the (artificially) quantized reference. Then, further conditions on the reference are shown such that the actual output error achieves asymptotic convergence to zero.