An adaptive terminal sliding mode control (SMC) technique is proposed to deal with the tracking problem for a class of high-order nonlinear dynamic systems. It is shown that a function augmented sliding hyperplane can...An adaptive terminal sliding mode control (SMC) technique is proposed to deal with the tracking problem for a class of high-order nonlinear dynamic systems. It is shown that a function augmented sliding hyperplane can be used to develop a new terminal sliding mode for high-order nonlinear systems. A terminal SMC controller based on Lyapunov theory is designed to force the state variables of the closed-loop system to reach and remain on the terminal sliding mode, so that the output tracking error then converges to zero in finite time which can be set arbitrarily. An adaptive mechanism is introduced to estimate the unknown parameters of the upper bounds of system uncertainties. The estimates are then used as controller parameters so that the effects of uncertain dynamics can be eliminated. It is also shown that the stability of the closed-loop system can be guaranteed with the proposed control strategy. The simulation of a numerical example is provided to show the effectiveness of the new method.展开更多
针对高精度光电伺服稳定平台系统中摩擦和非线性干扰对跟踪精度的影响问题,采用加性分解原理将稳定平台系统分解为主系统和辅系统.主系统负责视轴的跟踪,对名义模型设计基于加速度控制的比例—微分(PD)控制器.辅系统负责视轴的稳定,并...针对高精度光电伺服稳定平台系统中摩擦和非线性干扰对跟踪精度的影响问题,采用加性分解原理将稳定平台系统分解为主系统和辅系统.主系统负责视轴的跟踪,对名义模型设计基于加速度控制的比例—微分(PD)控制器.辅系统负责视轴的稳定,并设计了非线性扩张状态观测器(nonlinear extended state observer,NESO),对等效干扰进行有效的估计和补偿;结合有限时间收敛理论和滑模控制理论设计滑模补偿器,进一步补偿未知干扰.利用李亚普诺夫理论证明系统的稳定性.Matlab仿真结果验证了本方法的有效性.展开更多
文摘An adaptive terminal sliding mode control (SMC) technique is proposed to deal with the tracking problem for a class of high-order nonlinear dynamic systems. It is shown that a function augmented sliding hyperplane can be used to develop a new terminal sliding mode for high-order nonlinear systems. A terminal SMC controller based on Lyapunov theory is designed to force the state variables of the closed-loop system to reach and remain on the terminal sliding mode, so that the output tracking error then converges to zero in finite time which can be set arbitrarily. An adaptive mechanism is introduced to estimate the unknown parameters of the upper bounds of system uncertainties. The estimates are then used as controller parameters so that the effects of uncertain dynamics can be eliminated. It is also shown that the stability of the closed-loop system can be guaranteed with the proposed control strategy. The simulation of a numerical example is provided to show the effectiveness of the new method.
文摘针对高精度光电伺服稳定平台系统中摩擦和非线性干扰对跟踪精度的影响问题,采用加性分解原理将稳定平台系统分解为主系统和辅系统.主系统负责视轴的跟踪,对名义模型设计基于加速度控制的比例—微分(PD)控制器.辅系统负责视轴的稳定,并设计了非线性扩张状态观测器(nonlinear extended state observer,NESO),对等效干扰进行有效的估计和补偿;结合有限时间收敛理论和滑模控制理论设计滑模补偿器,进一步补偿未知干扰.利用李亚普诺夫理论证明系统的稳定性.Matlab仿真结果验证了本方法的有效性.
