This article studies control and performance enforcement for a class of uncertain dynamical systems that consist of actuated and unactuated portions physically interconnected to each other. The proposed approach stabilizes the overall interconnected system in the presence of unknown physical interconnections as well as system uncertainties. Performance guarantees are enforced, individually, on the actuated as well as unactuated portions of the interconnected system via this approach. For enforcing these performance guarantees, a set‐theoretic model reference adaptive control approach is used, in conjunction with linear matrix inequalities, to restrict the respective system error trajectories of the actuated and unactuated dynamics inside a priori, user‐defined compact sets. The efficacy of the proposed approach is demonstrated using simulations.

中文翻译：

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通过互连对未动力系统进行自适应控制：稳定性和性能保证

本文研究了一类不确定的动力学系统的控制和性能实施，该系统由物理上相互连接的致动部分和未致动部分组成。所提出的方法在存在未知物理互连以及系统不确定性的情况下稳定了整个互连系统。通过这种方法，可以对互连系统的促动部分和未促动部分分别实施性能保证。为了加强这些性能保证，结合线性矩阵不等式使用了集合理论模型参考自适应控制方法，以限制先验用户定义的紧凑集合内已激活和未激活动力学的相应系统误差轨迹。通过仿真证明了该方法的有效性。