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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.
Aimed at the nonlinear time-delay model of offshore platform system of steel structure, the problem of active damping control for marine platform vibration reduction system is studied based on integral sliding mode H∞ control.Firstly, the non-modeling dynamic and control Time delay nonlinear delay model.Secondly, the delay-dependent integral sliding mode H∞ control method for offshore platform vibration reduction system is given and a sufficient condition for the existence of the system delay-dependent integral sliding mode H∞ controller is obtained , The gain of the controller can be obtained by solving the nonlinear minimization problem numerically.Finally, the effectiveness of the H∞ control method for time-dependent integral sliding mode control is verified for the simplified model of the offshore platform.The simulation results show that using the delay-dependent integral sliding mode H∞ control method can effectively compensate for the system non-modeling dynamics and control delay on the system performance, significantly reduce the displacement of the marine platform and the acceleration response amplitude, improve the system’s safety and reliability.