| 引用本文: | 李文杰,张正强.非线性时滞系统基于降阶观测器的反步镇定控制[J].控制理论与应用,2022,39(8):1433~1441.[点击复制] |
| LI Wen-jie,ZHANG Zheng-qiang.Reduced-order observer-based backstepping stabilization control for nonlinear time-delay systems[J].Control Theory and Technology,2022,39(8):1433~1441.[点击复制] |
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| 非线性时滞系统基于降阶观测器的反步镇定控制 |
| Reduced-order observer-based backstepping stabilization control for nonlinear time-delay systems |
| 摘要点击 3363 全文点击 379 投稿时间：2021-09-15 修订日期：2022-08-31 |
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| DOI编号 10.7641/CTA.2021.10872 |
| 2022,39(8):1433-1441 |
| 中文关键词 时滞系统 输出反馈控制 降阶观测器 静态增益函数 渐近稳定 |
| 英文关键词 time-delay system output feedback control reduced-order observer static gain function asymptotic stability |
| 基金项目 国家自然科学基金项目(61873330), 山东省泰山学者项目, 山东省中央引导地方科技发展资金项目(YDZX20203700001633), 山东省自然科 学基金重大基础研究项目(ZR2021ZD13)资助. |
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| 中文摘要 |
| 针对一类状态未知的非线性严格反馈时滞系统, 本文提出了一种基于静态增益函数的输出反馈控制方案.
首先构造了降阶观测器以估计非线性系统的未知状态. 然后在Backstepping设计的每一步定义了具有控制增益函数
的新型Lyapunov-Krasovskii泛函以补偿未知时变时滞, 定义新的选择不唯一的连续控制增益函数以补偿非匹配项
以及Lyapunov-Krasovskii泛函补偿时滞时产生的非负项. 提出了一种无记忆输出反馈控制方案. 理论分析表明: 该
控制方案消除了未知时滞的影响, 保证了闭环系统所有信号的有界性, 并使系统实现渐近稳定. 最后仿真结果验证
了此控制方案的有效性. |
| 英文摘要 |
| For a class of nonlinear strict-feedback time-delay systems with unknown system states, this paper proposes
an output feedback control scheme based on a novel static gain function. Firstly, a reduced-order observer is constructed to
estimate the unmeasured states of the nonlinear time-delay system. Then, a new Lyapunov-Krasovskii functional with an
explicit control gain expression is defined in each step of the backstepping design process to compensate for the unknown
time-varying delays, novel continuous control gain functions are defined to compensate for unmatched terms and the nonnegative
terms that are generated when the Lyapunov-Krasovskii function compensates for time delays. A memoryless
output feedback control scheme is proposed. It shows that the control scheme eliminates the influence of unknown time
delay, ensures the boundedness of all signals of the closed-loop system, and makes the system asymptotically stable. Finally,
simulation results verify the effectiveness of the control scheme. |