Robust mixed H∞/passive vibration control of offshore steel jacket platforms with structured uncertainty
Robust mixed H∞/passive vibration control of offshore steel jacket platforms with structured uncertainty
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DOI：
10.1016/j.oceaneng.2017.04.045
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发表时间：
2017-07-15
影响因子：
5
通讯作者：
Kazemy, Ali
中科院分区：
文献类型：
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作者：
Kazemy, Ali
针对结构不确定性海洋钢导管架平台的鲁棒H ∞/无源混合控制问题进行了研究。本文的目的是设计一个控制器，这是为了稳定的海洋平台动态时，暴露于结构化的不确定性。该名称还必须满足混合H ∞/被动性能指标。为了设计这样的控制器，首先，瞬时状态反馈控制器应该被考虑。然后，混合时滞状态和瞬时状态被认为是在这样一种方式，控制律涵盖各种实际情况。基于Lyapunov-Krasovskii泛函（LKF），得到了一些稳定性判据，并以线性矩阵不等式（LMI）的形式表示。根据这些稳定性判据，状态反馈控制器增益存在的一些充分条件得到满足。最后，将所设计的控制器应用于具有不确定性的海洋平台模型，并进行了数值仿真，验证了所提出方法的有效性。
This paper focuses on the problems associated with designing a robust mixed H-infinity/passive controller for offshore steel jacket platforms with structured uncertainty. The objective of this paper is to design a controller that is meant to stabilize the offshore platform dynamic when exposed to structured uncertainties. This designation must also satisfy a mixed H-infinity/passive performance index. In order to design such a controller, at first, the instantaneous state feedback controller ought to be considered. Then, mixed time-delayed states and instantaneous states are to be considered in such a way that the control law covers various kinds of practical situations. Based on the Lyapunov-Krasovskii Functional (LKF), some stability criteria are obtained and expressed in the form of Linear Matrix Inequalities (LMIs). According to these stability criteria, some sufficient conditions for the existence of the state feedback controller gain are to be met. At the end, the designed controllers are applied to the model of the offshore platform with uncertainty before numerically simulating the effectiveness of the proposed methods.