Simultaneous Optimal Design of the Lyapunov-Based Semi-Active Control and the Semi-Active Vibration Control Device: Inverse Lyapunov Approach
Simultaneous Optimal Design of the Lyapunov-Based Semi-Active Control and the Semi-Active Vibration Control Device: Inverse Lyapunov Approach
复制标题
基于李雅普诺夫的半主动控制和半主动振动控制装置的同步优化设计：逆李雅普诺夫方法
DOI：
10.1115/1.4007033
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
T. Matsuoka and K. Sunakoda
中科院分区：
文献类型：
--
作者：
K. Hiramoto;T. Matsuoka and K. Sunakoda
我们解决了同时优化设计问题的半主动（SA）控制律和设计参数的半主动控制装置的土木结构。采用作者正在研制的振动控制装置（VCD）作为半主动控制装置。VCD由一个滚珠丝杠和一个飞轮组成，飞轮提供惯性阻力，电动机和一个电路提供阻尼阻力。提出了一种新的Bang-Bang型半主动控制律，称为逆李雅普诺夫方法。在逆李雅普诺夫方法中，基于李雅普诺夫函数搜索bang-bang型半主动控制的李雅普诺夫矩阵，从而优化半主动控制系统的控制性能。设计参数，以确定李雅普诺夫函数和VCD的优化与遗传算法（GA）。所提出的方法的有效性与仿真研究。
We address a simultaneous optimal design problem of a semi-active (SA) control law and design parameters in a semi-active control device for civil structures. The vibration control device (VCD) that is being developed by authors is used as the semi-active control device. The VCD is composed of a ball screw with a flywheel for the inertial resistance force and an electric motor with an electric circuit for the damping resistance force. A new bang–bang type semi-active control law referred to as inverse Lyapunov approach is proposed. In the inverse Lyapunov approach, the Lyapunov matrix in the bang–bang type semi-active control based on the Lyapunov function is searched so that the control performance of the semi-active control system is optimized. Design parameters to determine the Lyapunov function and those of the VCD are optimized with the genetic algorithm (GA). The effectiveness of the proposed approach is presented with simulation studies.