School of Automation, Qingdao University, Qingdao 266071, China.
Shandong Key Laboratory of Industrial Control Technology, Qingdao University, Qingdao 266071, China.
Math Biosci Eng. 2022 Apr 22;19(6):6362-6378. doi: 10.3934/mbe.2022298.
In this study, an adaptive modified reaching law-based switch controller design was developed for robotic manipulator systems using the disturbance observer (DO) approach. Firstly, a standard DO is employed to estimate the unknown disturbances of the plant, from which the control signal could be compensated. Then, an adaptive modified reaching law is established to dynamically adapt the switching gain of the sliding mode robust term and further guarantee the finite-time arrival of the established sliding surface. Additionally, the convergence of the error system is analyzed via the Lyapunov method. At last, the feasibility and effectiveness of the proposed control scheme are verified by using a two-joint robotic manipulator model. The simulation results show that the developed controller can achieve rapid tracking, reduce system chattering and improve the robustness of the plant. The main innovations of the work are as follows. 1) A new adaptive reaching law is proposed; it can reduce chattering effectively, and it has a fast convergence speed. 2) Regarding the nonlinear robotic manipulator model, a novel adaptive sliding-mode controller was synthesized based on the DO to estimate the unknown disturbance and ensure effective tracking of the desired trajectory.
在这项研究中,我们开发了一种基于自适应修正趋近律的开关控制器设计,用于机器人操作臂系统,采用干扰观测器(DO)方法。首先,使用标准 DO 来估计植物的未知干扰,从而可以补偿控制信号。然后,建立自适应修正趋近律以动态适应滑模鲁棒项的切换增益,并进一步保证所建立的滑动面的有限时间到达。此外,通过 Lyapunov 方法分析了误差系统的收敛性。最后,通过使用双关节机器人模型验证了所提出的控制方案的可行性和有效性。仿真结果表明,所开发的控制器可以实现快速跟踪,减少系统抖振,提高植物的鲁棒性。本工作的主要创新点如下。1)提出了一种新的自适应趋近律,它可以有效地减少抖振,并且具有快速的收敛速度。2)针对非线性机器人操作臂模型,基于 DO 合成了一种新的自适应滑模控制器,以估计未知干扰并确保有效跟踪期望轨迹。
Math Biosci Eng. 2022-4-22