【摘要】 针对钢结构海洋平台系统的非线性时滞模型,基于积分滑模H∞控制方法研究海洋平台减振系统的主动减振控制问题.首先,给出了考虑海洋平台系统的非建模动态及控制时滞的非线性时滞简化模型.其次,给出了海洋平台减振系统的时滞依赖积分滑模H∞控制方法,得到了系统时滞依赖积分滑模H∞控制器存在的一个充分条件,控制器增益可通过数值求解非线性最小化问题得到.最后,针对海洋平台简化模型,验证了时滞依赖积分滑模H∞控制方法的有效性.仿真结果表明,采用时滞依赖积分滑模H∞控制方法能有效补偿系统非建模动态和控制时滞对系统性能的影响,显著减小海洋平台的位移和加速度响应幅值,提高系统的安全性和可靠性.更多还原

【Abstract】 We study the integral sliding mode H∞damping control problem for a vibration system of offshore steel jacket platforms subject to wave force. By considering the unmodeled dynamics and control delay,we first establish a nonlinear time-delay system of the simplified offshore platform. Then,we propose a delay-dependent integral sliding mode control scheme and present a sufficient condition of the existence of the delay-independent integral sliding mode H∞controller. The controller gain can be obtained by solving a nonlinear minimization problem numerically. Finally,based on a simplified offshore platform system,we demonstrate the effectiveness of the delay-independent integral sliding mode H∞control scheme. The simulation results show that the delay-dependent integral sliding mode H∞controller can compensate for the effects of the unmodeled dynamics and control delays on the system,reduce the oscillation amplitudes of the displacement and acceleration of the offshore platform significantly,and improve the safety and reliability of the system.更多还原