A Fuzzy Integral Sliding Mode Control Algorithm for High-Speed Laser Beam Focus Tracking Control

In this paper, a fuzzy integral SMC (sliding mode control) strategy is developed for the intelligent focus control module of an intelligent multi-axis laser machining CNC system and some tracking experiments with this control strategy are performed. The results of the intelligent positioning experiment with fuzzy integral SMC strategy show that the intelligent multi-axis laser CNC machining with this intelligent focus positioning controller has high robustness and global stability, high tracking speed and precision.     

挖掘机器人伺服系统神经网络滑模控制

挖掘机器人伺服系统存在高度非线性、参数不确定和未建模动态等诸多不利因素,提出了一种结合径向基函数(RBF)神经网络的非线性滑模控制器,以提高控制精度和鲁棒性。首先,建立了单联伺服系统的数学模型;其次,采用RBF神经网络对系统的不利因素进行逼近,提出积分滑模面进一步减小稳态误差,同时减少对伺服系统参数的依赖,在此基础上,设计了基于RBF神经网络的滑模控制器(SMC-RBF),利用Lyapunov理论证明了系统的渐近稳定性;最后,通过不同的参考信号和整平实验验证了控制器的优越性。仿真结果表明,SMC-RBF控制器响应快,跟踪精度高且鲁棒性强,与PID控制器相比正弦轨迹跟踪精度提高了46%。整平实验结果表明,铲斗末端轨迹跟踪精度提高了52%。     

随机振动机械臂的自适应鲁棒滑模控制

为了解决存在外部不确定随机干扰情况下机械臂的高精度轨迹跟踪问题,提出了一种自适应鲁棒滑模控制方法,并用Lyapunov稳定性定理证明了其闭环系统的稳定性。采用饱和函数取代控制器中的符号函数,有效消除了控制器的抖振现象。仿真结果证明：与传统的PID控制器相比,提出的自适应鲁棒滑模控制器具有更高的鲁棒性、稳定性和精度。     

DERIVATION AND INTEGRAL SLIDING MODE VARIABLE STRUCTURE CONTROL OF HYDRAULIC VELOCITY TRACKING SYSTEM

The velocity tracking control of a hydraulic servo system is studied. Since the dynamics of the system are highly nonlinear and have large extent of model uncertainties, such as big changes in load and parameters, a derivation and integral sliding mode variable structure control scheme (DI-SVSC) is proposed. An integral controller is introduced to avoid the assumption that the derivative of desired signal must be known in conventional sliding mode variable structure control, a nonlinear derivation controller is used to weaken the chattering of system. The design method of switching function in integral sliding mode control, nonlinear derivation coefficient and controllers of DI-SVSC is presented respectively. Simulation shows that the control approach is of nice robustness and improves velocity tracking accuracy considerably.     

基于分数阶微积分的机械臂迭代滑模控制策略研究

为提高工业机械臂的控制性能,将分数阶微积分理论与迭代学习控制及滑模控制相结合,提出一种有效的分数阶迭代滑模控制策略.在控制器的设计过程中,分别采用分数阶趋近律与分数阶滑模控制律两种方法将分数阶微积分引入到迭代滑模控制中,提出分数阶迭代滑模控制策略.并使用李雅普诺夫理论分析系统的稳定性.然后以一个两关节机械臂为例,通过MATLAB仿真对所提出的控制策略进行了验证.实验表明:分数阶迭代滑模控制策略可以有效提高关节的跟踪速度和跟踪精度,减小跟踪误差,具有较强的鲁棒性,并有效地抑制了滑模控制的抖振现象.     

基于分数阶微积分的机械臂迭代滑模控制策略研究

为提高工业机械臂的控制性能,将分数阶微积分理论与迭代学习控制及滑模控制相结合,提出一种有效的分数阶迭代滑模控制策略.在控制器的设计过程中,分别采用分数阶趋近律与分数阶滑模控制律两种方法将分数阶微积分引入到迭代滑模控制中,提出分数阶迭代滑模控制策略.并使用李雅普诺夫理论分析系统的稳定性.然后以一个两关节机械臂为例,通过MATLAB仿真对所提出的控制策略进行了验证.实验表明:分数阶迭代滑模控制策略可以有效提高关节的跟踪速度和跟踪精度,减小跟踪误差,具有较强的鲁棒性,并有效地抑制了滑模控制的抖振现象.     

Adaptive sliding mode current control with sliding mode disturbance observer for PMSM drives

This paper focuses on the current control of a permanent magnet synchronous motor (PMSM) for electric drives with model uncertainties and external disturbances. To improve the performance of the PMSM current loop in terms of the speed of response, tracking accuracy, and robustness, a hybrid control strategy is proposed by combining the adaptive sliding mode control and sliding mode disturbance observer (SMDO). An adaptive law is introduced in the sliding mode current controller to improve the dynamic response speed of the current loop and robustness of the PMSM drive system to the existing parameter variations. The SMDO is used as a compensator to restrain the external disturbances and reduce the sliding mode control gains. Experiments results demonstrate that the proposed control strategy can guarantee strong anti-disturbance capability of the PMSM drive system with improved current and speed-tracking performance.     

A novel adaptive sliding mode control with application to MEMS gyroscope

This paper presents a new adaptive sliding mode controller for MEMS gyroscope; an adaptive tracking controller with a proportional and integral sliding surface is proposed. The adaptive sliding mode control algorithm can estimate the angular velocity and the damping and stiffness coefficients in real time. A proportional and integral sliding surface, instead of a conventional sliding surface is adopted. An adaptive sliding mode controller that incorporates both matched and unmatched uncertainties and disturbances is derived and the stability of the closed-loop system is established. The numerical simulation is presented to verify the effectiveness of the proposed control scheme. It is shown that the proposed adaptive sliding mode control scheme offers several advantages such as the consistent estimation of gyroscope parameters including angular velocity and large robustness to parameter variations and external disturbances.     

Robust adaptive integral backstepping control for opto-electronic tracking system based on modified LuGre friction model

This paper presents a robust adaptive integral backstepping control strategy with friction compensation for realizing accurate and stable control of opto-electronic tracking system in the presence of nonlinear friction and external disturbance. With the help of integral control term to decrease the steady-state error of the system and combining robust adaptive control approach with the backstepping design method, a novel control method is constructed. Nonlinear modified LuGre observer is designed to estimate friction behavior. Robust adaptive integral backstepping control strategy is developed to compensate the changes in friction behavior and external disturbance of the servo system. The stability of the opto-electronic tracking system is proved by Lyapunov criterion. The performance of robust adaptive integral backstepping controller is verified by the opto-electronic tracking system with modified LuGre model in simulation and practical experiments. Compared to the adaptive integral backstepping sliding mode control method, the root mean square of angle error is reduced by 26.6% when the proposed control method is used. The experiment results demonstrate the effectiveness and robustness of the proposed strategy.     

基于非线性干扰观测器的自动弹仓终端滑模控制

针对某自动弹仓位置控制过程中的负载变化和不确定性干扰，设计了基于干扰观测器和非奇异快速终端滑模的复合控制策略，建立了自动弹仓的不确定性动力学模型。干扰观测器用于估计系统复合干扰，估计值用于补偿滑模控制器以增强控制器的鲁棒性和抗干扰能力。运用Lyapunov准则证明了系统闭环稳定。所提算法和PID算法的对比实验结果显示，设计的控制律实现了自动弹仓位置的精确控制，具有良好的鲁棒性，有效提高了自动弹仓的定位稳定性。     

Finite time control for MIMO nonlinear system based on higher-order sliding mode

Considering a class of MIMO uncertain nonlinear system, a novel finite time stable control algorithm is proposed based on higher-order sliding mode concept. The higher-order sliding mode control problem of MIMO nonlinear system is firstly transformed into finite time stability problem of multivariable system. Then continuous control law, which can guarantee finite time stabilization of nominal integral chain system, is employed. The second-order sliding mode is used to overcome the system uncertainties. High frequency chattering phenomenon of sliding mode is greatly weakened, and the arbitrarily fast convergence is reached. The finite time stability is proved based on the quadratic form Lyapunov function. Examples concerning the triple integral chain system with uncertainty and the hovercraft trajectory tracking are simulated respectively to verify the effectiveness and the robustness of the proposed algorithm.     

线性不确定性电液位置伺服系统的前馈补偿滑模鲁棒跟踪控制研究

针对线性不确定性系统的鲁棒跟踪控制问题,提出了一种前馈补偿滑模鲁棒跟踪控制方法,并证明了采用该方法所构成的闭环系统是李亚普诺夫意义下渐近稳定的,将该控制器设计方法应用于某结构疲劳试验机电液位置伺服控制系统,验证了所设计控制器的有效性。仿真和实时控制结果均证明：对存在不确定性的结构疲劳试验机电液位置伺服系统,应用该研究所提出的具有前馈补偿的滑模鲁棒跟踪控制器,能较有效地削弱常规VSC所固有的抖振现象,在不同的负载条件下跟踪不同频率的正弦信号均能获得良好的跟踪精度,控制器对系统的不确定性呈现较强的鲁棒性。     

大型装备电液系统高精度鲁棒位置控制

阀控非对称缸电液系统具有参数不确定性和强外部扰动,导致系统鲁棒性和跟踪性能变差,控制难度增加。考虑外部扰动建立系统动态模型,为了提高系统鲁棒性和跟踪精度,提出自适应滑模控制策略,用滑模边界层厚度函数代替符号函数以减小系统颤振,构建扰动观测器来调整切换增益,进一步提高系统稳定性。引入可变边界层厚度函数,抑制变化负载对系统性能的影响。在固定负载和变化负载条件下进行实验验证,结果证明了所提出控制策略的有效性。     

Sliding mode disturbance observer-based control of a twin rotor MIMO system

This work proposes a robust tracking controller for a helicopter laboratory setup known as the twin rotor MIMO system (TRMS) using an integral sliding mode controller. To eliminate the discontinuity in the control signal, the controller is augmented by a sliding mode disturbance observer. The actuator dynamics is handled using a backstepping approach which is applicable due to the continuous chattering-free nature of the command signals generated using the disturbance observer based controller. To avoid the complexity of analytically differentiating the command signals, a first order sliding mode differentiator is used. Stability analysis of the closed loop system and the ultimate boundedness of the tracking error is proved using Lyapunov stability arguments. The proposed controller is validated by several simulation studies and is compared to other schemes in the literature. Experimental results using a hardware-in-the-loop system validate the robustness and effectiveness of the proposed controller.     

An enhanced tracking control of marine surface vessels based on adaptive integral sliding mode control and disturbance observer

In this paper, a new control methodology is developed to enhance the tracking performance of fully actuated surface vessels based on an integrating between an adaptive integral sliding mode control (AISMC) and a disturbance observer (DO). First, an integral sliding mode control (ISMC), in which the backstepping control technique is used as the nominal controller, is designed for the system. The major features, i.e., benefits and drawbacks, of the ISMC are discussed thoroughly. Then, to enhance the tracking performance of the system, an adaptive technique and a new disturbance observer based on sliding mode technique are developed and integrated into the ISMC. The stability of the closed-loop system is proved based on Lyapunov criteria. Computer simulation is performed to illustrate the tracking performance of the proposed controller and compare with the existing controllers for the tracking control of a surface vessel. The simulation results demonstrate the superior performance of the proposed strategy.     

Robust adaptive motion/force control scheme for crawler-type mobile manipulator with nonholonomic constraint based on sliding mode control approach

In this paper, a robust adaptive motion/force control (RAMFC) scheme is presented for a crawler-type mobile manipulator (CTMM) with nonholonomic constraint. For the position tracking control design, an adaptive sliding mode tracking controller is proposed to deal with the unknown upper bounds of system parameter uncertainties and external disturbances. Based on the position tracking results, a robust control strategy is also developed for the nonholonomic constraint force of CTMM. According to the Lyapunov stability theory, the stability of the closed-loop control system, the uniformly ultimately boundedness of position tracking errors, and the boundedness of the force error and adaptive coefficient errors are all guaranteed by using the derived RAMFC scheme. Simulation and experimental tests on a CTMM with two-link manipulator demonstrate the effectiveness and robustness of the proposed control scheme.     

基于AMESim的动压缸电液伺服压力控制系统积分滑模自适应控制

 根据轨道路基测试装置工作原理,建立了动压缸电液伺服压力系统AMESim模型和数学模型。基于期望变量构造了积分滑模控制切换函数,设计积分滑模控制器使切换函数收敛来实现对期望变量的跟踪,同时采用参数自适应估计来减小参数不确定性对系统控制性能的影响,最后将积分滑模自适应控制作用于该系统AMESim模型上。仿真结果表明：该算法不仅可以快速有效地估计系统中参数,保证估计参数的有界收敛,而且可以很好地跟踪期望变量,具有较好的跟踪精度和抗干扰能力。     

Dynamic compensation of modeling uncertainties and disturbances of a precision planar motion stage based on sliding mode observer

This paper discusses dynamic modeling, controller design, simulation, and experiment for a non-contact three-degree-of-freedom planar motion stage for precision measurement and control of positions. A simplified model of this planar motion stage driven by four permanent magnetic linear motors is established on an assumption that the influence of the small yawing motion on the electromagnetic characteristics of the planar motion stage can be neglected. Overall control strategy, including a fine-tuned proportional integral derivative component to yield basic dynamic performance and a component derived from sliding mode observer to estimate and compensate for modeling uncertainties and disturbances, is developed and implemented in a digital signal processor. Simulation study and experimental results of using a three-axis interferometer as the position sensor are presented to verify the effectiveness of the suggested dynamic compensation strategy and tracking performance of the non-contact planar motion stage.     

Target Tracking Algorithm Using Finite-time Convergence Smooth Second-order Sliding Mode Controller for Mobile Robots

Target tracking control for wheeled mobile robot (WMR) need resolve the problems of kinematics model and tracking algorithm.High-order sliding mode control is a valid method used in the nonlinear tracking control system,which can eliminate the chattering of sliding mode control.Currently there lacks the research of robustness and uncertain factors for high-order sliding mode control.To address the fast convergence and robustness problems of tracking target,the tracking mathematical model of WMR and the target is derived.Based on the finite-time convergence theory and second order sliding mode method,a nonlinear tracking algorithm is designed which guarantees that WMR can catch the target in finite time.At the same time an observer is applied to substitute the uncertain acceleration of the target,then a smooth nonlinear tracking algorithm is proposed.Based on Lyapunov stability theory and finite-time convergence,a finite time convergent smooth second order sliding mode controller and a target tracking algorithm are designed by using second order sliding mode method.The simulation results verified that WMR can catch up the target quickly and reduce the control discontinuity of the velocity of WMR.     

机械臂任务空间鲁棒Terminal滑模控制

不确定性和外部干扰是制约机器人控制精度的主要因素,传统Terminal滑模控制方法未能考虑机械臂运动学不确定性。提出一种新的机械臂任务空间鲁棒连续非奇异Terminal滑模跟踪控制方法。该方法具有较强的鲁棒性,能够有效克服运动学不确定性、动力学不确定性和外部干扰,保证机械臂任务空间跟踪误差有限时间稳定,将现有机械臂Terminal滑模控制方法从关节空间扩展到任务空间。通过模型转换,同时考虑机械臂运动学不确定性和动力学模型不确定性。使用矢量和矩阵范数定义,给出系统不确定性的界定方法。运用Lyapunov再设计方法和有界稳定理论,分析系统稳定性,明确给出系统调节时间和跟踪误差剩余集的估计方法。仿真中,通过与现有机械臂关节空间Terminal滑模跟踪控制方法比较,验证了所提方法的有效性。