压电快反镜的预定时间自适应滑模控制

Predefined-time Adaptive Sliding Mode Control for Piezoelectric Fast Steering Mirror

中文关键词: 预定时间控制  自适应控制  滑模控制

英文关键词: predefined-time control  adaptive control  sliding mode control

中文摘要:

      针对压电快反镜系统（Piezoelectric Fast Steering Mirror, PFSM）在跟踪过程中由自身压电磁滞和外界环境所引起的不确定干扰问题，文中提出了一种创新的预定时间自适应滑模控制器。此控制器使用障碍函数设计自适应律，并引入了预定时间的概念，以确保系统的响应更加灵活和高效。在保证控制系统状态的收敛时间小于预定时间上界的基础上，该控制策略还可通过障碍函数将滑模变量的收敛范围限制在一个微小的邻域内。文中利用Lyapunov稳定性理论证明了闭环控制系统的稳定性。最后，通过数值仿真验证了所设计控制器的有效性。结果表明：该控制器在提升PSFM性能、缩短跟踪时间以及提高精度方面具有显著优势。

英文摘要:

      A predefined-time adaptive sliding mode controller is proposed to solve the problem of uncertain disturbance caused by hysteresis and external environment during tracking process of piezoelectric fast steering mirror (PFSM). This controller employs a barrier function to design the adaptive law and cleverly incorporates the concept of predetermined time to ensure a more flexible and efficient system response. On the basis of ensuring that the convergence time of the control system state is shorter than the upper bound of the predetermined time, the convergence range of the sliding mode variable can be limited to a small neighborhood by barrier function. Furthermore, the stability of closed-loop control system is proved using Lyapunov theory. Finally, the effectiveness of the designed controller is verified by numerical simulation. Results show significant advantages in enhancing the performance of the PFSM, reducing tracking time and improving accuracy.