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Adaptive control schemes specially designed for systems with unknown orthogonal matrix parameters

机译:专为未知正交矩阵参数的系统而设计的自适应控制方案

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摘要

In this paper, we consider two adaptive control problems for systems containing constant unknown proper orthogonal matrices. The first one refers to the adaptive control problem for drift-free systems with unknown control direction (high-frequency gain). The second one refers to the adaptive control problem for systems with unknown drift directions. For both adaptive control problems, we propose new non-certainty-equivalent adaptive controllers that ensure closed-loop signal boundedness and asymptotic convergence of the tracking error to the origin for most initial conditions while simultaneously enforcing orthogonality on the matrix estimate for all time. In addition to stability proofs, numerical simulations are presented to illustrate the closed-loop performance of the resulting controller designs.
机译:在本文中,我们考虑了包含常数未知的正确正交矩阵的系统的两个自适应控制问题。第一个问题涉及控制方向未知(高频增益)的无漂移系统的自适应控制问题。第二个是针对具有未知漂移方向的系统的自适应控制问题。对于这两种自适应控制问题,我们提出了新的非等价自适应控制器,这些控制器可确保在大多数初始条件下,闭环信号有界性和跟踪误差到原点的渐近收敛性,同时始终在矩阵估计上强制正交。除了稳定性证明之外,还提供了数值模拟来说明所得控制器设计的闭环性能。

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