FURTHER EXTENSIONS ON A STABILITY PROPERTY WITH SLOWLY VARYING INPUTS
FURTHER EXTENSIONS ON A STABILITY PROPERTY WITH SLOWLY VARYING INPUTS
复制标题
输入缓慢变化时稳定性的进一步扩展
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
N. Jo
中科院分区：
文献类型：
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作者：
H. Shim;N. Jo
在本文中，我们提出了三个扩展结果的稳定性与缓慢变化的输入，已研究，例如，Khalil和Kokotović（1991年）。稳定性在控制方法中起着重要的作用，如增益调度控制或具有缓变参数的系统的鲁棒控制。我们开始回顾第一个扩展，它表明输入可能变化很快，但一旦其“平均值”缓慢变化，那么相同的稳定性属性仍然成立。第二个扩展处理的情况下，发生（跨临界）分岔，使稳定性的假设被违反。我们提出了一个跳转和等待策略，即使在这种情况下，仍然可以保证稳定性。最后，我们证明了跳转和等待策略可以采用不与输入本身，但与输入的平均值，如果建议的结构条件得到满足。
In this paper we present three extended results on the stability property with slowly varying inputs that has been studied in, e.g., Khalil and Kokotović (1991). The stability property has played an important role in control methodologies such as gainscheduling controls or robust controls for systems having slowly varying parameters. We begin with a review of the first extension, which shows that the inputs may vary fastly, but once its ‘average’ is slowly varying, then the same stability property still holds. The second extension deals with the case when a (transcritical) bifurcation occurs so that the assumptions of the stability property are violated. We propose a Jump & Wait strategy which will still guarantee the stability property even under this case. Finally we prove that the Jump & Wait strategy can be employed not with the input itself but with the average of the input if the proposed structural condition is satisfied.