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arXiv 2012.15815eess.SYcs.ROcs.SY
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非线性系统的通用自适应控制

Universal Adaptive Control of Nonlinear Systems

University of California – Los Angeles(加利福尼亚大学洛杉矶分校);Massachusetts Institute of Technology(麻省理工学院)

Brett T. Lopez, Jean-Jacques E. Slotine

摘要:

本文提出了一种新的直接自适应控制框架,将确定性等价原理推广到具有非匹配模型不确定性的一般非线性系统。该方法在线调整自适应速率,以消除参数估计瞬态对闭环稳定性的影响。该方法可以立即与先前设计或学习的反馈策略相结合,如果相应的模型参数化的李雅普诺夫函数或收缩度量是已知的。对具有非匹配不确定性的各种非线性系统的仿真结果表明了该方法的有效性。

英文摘要:

This work develops a new direct adaptive control framework that extends the certainty equivalence principle to general nonlinear systems with unmatched model uncertainties. The approach adjusts the rate of adaptation online to eliminate the effects of parameter estimation transients on closed-loop stability. The method can be immediately combined with a previously designed or learned feedback policy if a corresponding model-parameterized Lyapunov function or contraction metric is known. Simulation results of various nonlinear systems with unmatched uncertainties demonstrates the approach.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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