控制理论与应用2025,Vol.42Issue(8):1641-1649,9.DOI:10.7641/CTA.2024.30428
基于输入输出数据的预设性能自适应参数估计
Adaptive prescribed performance parameter estimation with input/output data
摘要
Abstract
Although numerous adaptive parameter estimation methods have been developed,most of them rely on the system state information and cannot quantitatively analyze the parameter error convergence performance(e.g.,convergence rate,maximum overshoot,etc).In this sense,this paper will propose a novel adaptive prescribed performance parameter estimation method with nonlinear system input/output.To avoid using system state information,the K-filter operation is first introduced to obtain a mapping from the system input/output to the system unknown parameters.Then,a set of auxiliary variables are designed to extract the parameter estimation error information with simple algebraic calculation for parameter estimation.To improve the parameter estimation error convergence,the prescribed performance function(PPF)and associated error transformation mechanism are suggested to predefine the transient performance and steady-state performance of the parameter estimation error.Then,a novel adaptive parameter estimation algorithm is presented and the parameter estimation error convergence is rigorously proved by using the Lyapunov theory.Finally,numerical simulation and experimental results are also provided to show the superiority of the proposed method over some available results.关键词
参数估计/预设性能/非线性系统/系统输入输出Key words
parameter estimation/prescribed performance/nonlinear system/system input-output引用本文复制引用
曾煜轩,王娴,何浩然,黄英博,那靖..基于输入输出数据的预设性能自适应参数估计[J].控制理论与应用,2025,42(8):1641-1649,9.基金项目
国家自然科学基金项目(62003153,62273169),云南省基础研究计划项目(202201AW070005,202101AU070162,202001AV070001)资助.Supported by the National Natural Science Foundation of China(62003153,62273169)and the Yunnan Fundamental Research Projects(202201AW070005,202101AU070162,202001AV070001). (62003153,62273169)