Abstract The literature has proven that attaining good transient behavior in leakage-based robust adaptive control of uncertain switched systems is intrinsically challenging. In fact, because the gains of the inactive subsystems must exponentially vanish during inactive times as an effect of leakage action, new learning transients will repeatedly arise at each switching instant. In this paper, a new leakage-based mechanism is designed for robust adaptive control of uncertain switched systems: in contrast to the available designs, the key innovation of the proposed one is that the adaptive gains of the inactive subsystems can be kept constant to their switched-off values, thus preventing vanishing gains. Bounded stability of the closed-loop switched system is guaranteed thanks to the introduction of an auxiliary gain playing the role of leakage. A benchmark example commonly adopted in adaptive switched literature shows that the proposed strategy can consistently improve the transient behavior under various families of switching signals.

中文翻译：

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切换线性系统基于泄漏的模型参考自适应控制中的瞬态问题

摘要 文献已经证明，在不确定切换系统的基于泄漏的鲁棒自适应控制中获得良好的瞬态行为本质上是具有挑战性的。事实上，由于非活动子系统的增益必须在非活动时间内作为泄漏动作的影响呈指数消失，新的学习瞬态将在每个开关时刻重复出现。在本文中，为不确定切换系统的鲁棒自适应控制设计了一种新的基于泄漏的机制：与可用设计相比，所提出的设计的关键创新是非活动子系统的自适应增益可以保持恒定关闭值，从而防止增益消失。由于引入了起到泄漏作用的辅助增益，保证了闭环开关系统的有界稳定性。