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Non-probabilistic robust reliability method and reliability-based performance optimization for active vibration control of structures and dynamic systems with bounded uncertain parameters

机译:具有不确定参数的结构和动力系统主动振动控制的非概率鲁棒可靠性方法和基于可靠性的性能优化

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摘要

Active vibration control of uncertain structures is an attractive issue and essentially a complicated multidisciplinary problem. In this research, the author focuses on dealing with parametric uncertainties of actively controlled structures and dynamic systems from the viewpoint of reliability. An efficient non-probabilistic robust reliability methodology for mixed H-2/H robust vibration control of uncertain structures and dynamic systems is presented systematically by describing the uncertain parameters as interval variables. The static output robust controller design is carried out by solving a reliability-based multiobjective optimization problem, by which the H-2 and H performances and robustness against uncertainties of the closed-loop system can be taken into account simultaneously in an integrated framework. By this method, a non-probabilistic robust reliability measure of an uncertain controlled dynamic system satisfying required H-2/H performance and desired decay rate can be obtained, and the robustness bounds of uncertain parameters such that the H-2 and H performances of the closed-loop system are guaranteed can be provided. The controller obtained may possess an optimal performance satisfying the condition that the system is robustly reliable to all admissible uncertainties. The non-probabilistic reliability model constructed in this paper is an integrated one and can be used directly for vibration control design of parametric uncertain structures and dynamic systems. Three numerical examples are investigated to demonstrate the effectiveness and feasibility of the presented method.
机译:不确定结构的主动振动控制是一个有吸引力的问题,本质上是一个复杂的多学科问题。在这项研究中,作者从可靠性的角度着眼于处理主动控制结构和动力系统的参数不确定性。通过将不确定性参数描述为区间变量,系统地提出了一种不确定的结构和动力系统的混合H-2 / H鲁棒振动控制的有效的非概率鲁棒可靠性方法。静态输出鲁棒控制器设计是通过解决基于可靠性的多目标优化问题而进行的,该问题可在集成框架中同时考虑H-2和H的性能以及针对闭环系统不确定性的鲁棒性。通过这种方法,可以获得满足要求的H-2 / H性能和期望的衰减率的不确定受控动态系统的非概率鲁棒可靠性测度,并且不确定参数的鲁棒性边界使得H-2和H性能达到保证可以提供闭环系统。获得的控制器可以具有满足以下条件的最佳性能:系统对于所有允许的不确定性都具有可靠的可靠性。本文构建的非概率可靠性模型是一个综合模型,可直接用于参数不确定结构和动力系统的振动控制设计。研究了三个数值例子,以证明所提方法的有效性和可行性。

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