An LTR-observer-based dynamic sliding mode control for chattering reduction

Two important approaches to alleviation of control chattering in sliding mode control are the boundary layer control (BLC) and the dynamic sliding mode control (DSMC). The DSMC is superior to the BLC since in DSMC chattering is alleviated without sacrificing the control accuracy. However, the design of DSMC is more challenging because its sliding variable contains an unknown system uncertainty. This paper proposes a robust two-dimensional LTR observer for estimation of the state-dependent uncertainty in the sliding variable. This paper also shows, via simulation examples, that the DSMC can better reduce chattering than the BLC especially in noisy environments.     

Chattering reduction of sliding mode control by low‐pass filtering the control signal

The conventional approach to reducing control signal chattering in sliding mode control is to use the boundary layer design. However, when there is high‐level measurement noise, the boundary layer design becomes ineffective in chattering reduction. This paper, therefore, proposes a new design for chattering reduction by low‐pass filtering the control signal. The new design is non‐trivial since it requires estimation of the sliding variable via a disturbance estimator. The new sliding mode control has the same performance as the boundary layer design in noise‐free environments, and outperforms the boundary layer design in noisy environments. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society     

基于模糊扰动观测器的PMSM积分滑模控制研究

为了克服传统永磁同步电机(Permanent magnet synchronous motor,PMSM)的滑模控制增益大容易产生抖振的问题,提出基于模糊观测器的PMSM积分滑模控制策略。采用新型趋近律设计积分滑模控制器取代传统的滑模控制器,提高系统的动态响应性能。结合模糊控制与自适应控制的特点,设计模糊扰动观测器,能够迅速有效地观测系统内部参数变化和外部扰动,并对积分滑模速度控制器进行前馈补偿,削弱系统抖振的同时提高了系统的鲁棒性。通过李雅普诺夫理论证明了该控制系统的稳定性。仿真及实验结果验证了该方法具有较强的鲁棒性,可以实现良好的跟踪效果并且无抖动。     

Novel smooth sliding mode attitude control design for constrained re-entry vehicle based on disturbance observer

This paper investigates the attitude tracking control system design for reusable launch vehicle (RLV) in re-entry phase with input constraint, model uncertainty and external disturbance. The novel control scheme is designed via combining the advantages of the robust property of sliding mode control (SMC), the compensation ability of disturbance observer (DOB) and the systematic design procedure of backstepping technique. By applying DOB technique to estimate the lumped uncertainty, there is no need to choose the switch gain larger than the bound of uncertainty. Through designing the exponential form sliding surface and smooth sliding mode controller, the chattering and discontinuous problem inherent in the traditional SMC is alleviated. An additional system is constructed to handle input constraint. Based on Lyapunov theory, the asymptotic stability of the closed-loop system is proven. At last, compared simulations are presented to verify the effectiveness of the proposed control approach.     

转炉炉口微差压滑模变结构控制技术

针对宝钢梅山炼钢厂转炉煤气回收系统(OG系统)的工作现状以及转炉炉口微差压控制系统对象的非线性、时变、不确定性和干扰大的特点,采用具有强鲁棒性的滑模变结构控制策略,以克服系统的不确定性和增强抗干扰能力.对滑模变结构控制算法中存在的"抖振"问题,探讨了基于干扰观测补偿的滑模控制器的设计解决方案,通过仿真研究表明滑模变结构控制方法具有很强的鲁棒性,可有效地改善控制系统的动态响应品质.     

基于混合滑模控制器和反正切观测器的SPMSM直接转矩控制

针对基于传统PI控制的表贴式永磁同步电机(SPMSM)直接转矩控制系统抖振和相位延迟等问题,在转速环节设计新型趋近律,采用模糊自适应方法,实现趋近律参数的动态调节,并通过Lyapunov方法证明稳定性.利用super-twisting滑模策略生成参考电压矢量,完成混合滑模控制器的设计,建立基于反正切函数的滑模观测器,并对转子位置进行合理补偿.仿真实验表明,与PI控制、基于指数趋近律的滑模控制器相比,所设计的控制器在电机空载起动和外加干扰情况下均能有效提高系统响应,显著降低抖振,与其他模型参考自适应观测器相比,所设计观测器能有效减小相位延迟,转子位置辨识结果更准确.     

永磁球形电机的少保守性滑模控制

永磁球形电机轨迹跟踪控制方法常常利用高增益的控制输出来保证系统的鲁棒性及跟踪控制的快速性.但这种保守控制会带来较大的控制作用,甚至导致执行器饱和.为了减少控制的保守性,本文设计了一种带有非线性干扰观测器的模糊滑模控制器来解决球形电机的轨迹跟踪问题.利用干扰观测器对不确定性、摩擦、外界干扰、负载扰动等进行估计,并在控制输入端进行补偿实现对干扰的抑制.并利用滑模控制器抵消干扰观测器的干扰观测误差及不可观测部分的干扰,为了减少滑模的抖振,本文利用模糊逻辑对该部分进行逼近,并利用模糊的输出增益代替滑模的切换增益.此外通过Lyapunov方程证明了本文控制器的稳定性.仿真结果表明在存在模型不确定性及各种干扰的情况下,本文的轨迹跟踪控制具有良好的动静态性能和少保守性.     

基于非线性干扰观测器的下肢外骨骼上楼梯滑模控制

针对下肢外骨骼在轨迹跟踪时对内部参数扰动和外界干扰较为敏感的特性,设计一种基于非线性干扰观测器的下肢外骨骼机器人滑模控制策略。首先建立下肢外骨骼上楼梯的动力学模型,分析其动力学特性;其次设计非线性干扰观测器,对下肢系统的不确定性和外部干扰进行观测;在此基础上,为保证系统轨迹跟踪误差的收敛性和减弱抖振,设计了低通滤波的滑模控制器,根据李雅普诺夫稳定性理论证明了下肢系统的稳定性;最后通过仿真与实验验证,该控制策略能够有效克服多种因素引起的干扰,改善系统的控制性能,提高系统的稳定性。     

Bio-inspired backstepping adaptive sliding mode control for parallel mechanism with actuation redundancy

This paper presents a bio-inspired backstepping adaptive sliding mode control strategy for a novel 3 degree of freedom (3-DOF) parallel mechanism with actuation redundancy. Based on the kinematic model and the dynamic model, a sliding mode controller is designed to assure the tracking performance, and an adaptive law is introduced to approximate the system uncertainty including parameters’ variation, external disturbances and un-modeled part. Furthermore, a bio-inspired model is introduced to solve the inherent chattering problem of sliding mode control and provide a chattering free control. The simulation and experimental results testify that the proposed bio-inspired backstepping adaptive sliding mode control can achieve better performance (the tracking accuracy, robustness, response speed, etc.) than the conventional slide mode control.     

Robust control of robotic manipulators based on integral sliding mode

For rigid body robot manipulators, the computed torque approach provides asymptotic stability for tracking control tasks. However, the state dependent matrices needed to complete the computed torque algorithm are normally unknown and possibly too complex for a real-time implementation. This paper proposes a simple controller with computed-torque-like structure enhanced by integral sliding mode, having pole-placement capability. For the reduction of the chattering effect generated by the sliding mode part, the integral sliding mode is posed as a perturbation estimator with quasi-continuous control action provided by an additional low-pass filter. The time-constant of the latter tunes the controller functionality between the perturbation compensation and a pure integral sliding mode control, as well as between chattering reduction and system robustness. A comparative simulation study between conventional sliding mode control, integral sliding mode control, and integral sliding mode in form of a perturbation estimator for a two-link robot arm validates the proposed design.     

飞行仿真转台伺服系统的反演自适应滑模控制(英文)

采用滑模控制对非线性系统进行控制时,抖振是不可避免的现象,如何抑制抖振成为研究的重点。介绍了一种反演自适应滑模控制方案,它可以解决非线性系统中的不确定性问题,保证系统的鲁棒性。为此,首先介绍了反演设计的原理,通过在反演设计中引入滑模控制,并采用自适应算法对不确定性进行估计,有效的降低了抖振。最后给出了一个应用此方法进行控制的实际例子,结果表明了这种方法的有效性。     

基于ESO 的复合滑模面非奇异terminal 滑模控制

针对传统非奇异terminal 滑模控制存在的收敛缓慢和控制输入抖振的问题, 提出采用复合滑模面函数和扩张状态观测器的控制器设计方法. 首先, 结合复合滑模面, 采用分阶段控制律提高系统收敛速度; 然后, 在此基础上使用扩张状态观测器在线估计并补偿系统的不确定量, 以有效削弱系统未建模动力学导致的抖振; 最后, 分别证明了以上两种方法的有限时间收敛特性. 仿真结果验证了所提出方法的有效性, 体现了系统的快速收敛和强鲁棒性等特点.     

A second order discrete sliding mode observer for the variable structure control of a semi-batch reactor

This paper concerns the chattering elimination from discrete sliding mode observers. The dilemma chattering-precision, that characterizes the first order sliding mode observer in case of relatively large parameter variations and/or external disturbances, is discussed and the influence of the discontinuous term amplitude on the estimation performance is shown by a simulation example. The proposed second order discrete sliding mode observer is, then, introduced. The stability of a closed loop control system based on the proposed observer is analyzed. A real time application of the proposed observer incorporated into a 2-DSMC control loop of a chemical reactor is presented.     

A robust fault diagnosis and accommodation scheme for robot manipulators

This paper investigates an algorithm for robust fault diagnosis (FD) in uncertain robotic systems by using a neural sliding mode (NSM) based observer strategy. A step by step design procedure will be discussed to determine the accuracy of fault estimation. First, an uncertainty observer is designed to estimate the uncertainties based on a first neural network (NN1). Then, based on the estimated uncertainties, a fault diagnosis scheme will be designed by using a NSM observer which consists of both a second neural network (NN2) and a second order sliding mode (SOSM), connected serially. This type of observer scheme can reduce the chattering of sliding mode (SM) and guarantee finite time convergence of the neural network (NN). The obtained fault estimations are used for fault isolation as well as fault accommodation to self-correct the failure systems. The computer simulation results for a PUMA560 robot are shown to verify the effectiveness of the proposed strategy.     

基于未知动态观测器双惯量伺服系统低频主动谐振抑制

针对双惯量伺服系统存在的机械谐振, 本文提出了一种基于扰动观测器的滑模主动低频谐振控制方法. 利 用可测量的电机端的位置信号, 对其进行滤波操作得到位置的滤波变量, 根据不变流形原理设计未知扰动观测器, 实现对传递力矩的在线估计, 并将估计值融入到控制器设计中对其进行补偿. 为了消除传统滑模存在颤振现象, 基 于正切函数提出了一种新颖滑模面设计方法. 在此基础上, 设计了滑模控制器实现了对期望信号的准确跟踪, 并利 用李雅普诺夫稳定性理论证明了闭环系统稳定性. 最后通过实验对比, 验证了本文提出的控制策略有效性, 此外该 算法建构简单不需要计算电机加速度的信息, 利于在实际中应用.     

UDE-based sliding mode control of DC–DC power converters with uncertainties

The DC–DC power converter plays an important role in solar systems to provide the stable DC bus voltage, but which is easily subject to various uncertainties and disturbances in practical operation. In this paper, an uncertainty and disturbance estimator (UDE) based sliding mode control approach is applied to improve the performance of power converters. The UDE is designed for the estimation of both the matched and mismatched uncertainties. To address the mismatched uncertainties, an adaptive sliding mode function is constructed with the compensation of the estimated uncertainties, which renders a chattering-free robust control law. Simulation and experimental results illustrate that the proposed control scheme achieves good dynamic performance, strong robustness and chattering reduction in the presence of uncertainties and disturbances     

电动汽车IPMSM滑模观测器速度控制方法

增程式电动汽车在实际运行中容易产生驱动电机内部参数不确定性和外部扰动的问题,制约了控制系统性能的进一步提升,针对此问题开展电动汽车内置式永磁同步电机速度跟踪控制的研究。为电动汽车驱动电机设计了常规的基于扰动上下界的滑模速度控制器。为了抑制抖振,采用滑模观测器对扰动进行观测,将观测结果前馈至控制器内部,对驱动电机中扰动进行补偿,以降低滑模控制器中的抖振。在ECE工况下对基于上下界的滑模控制和基于观测器的控制方案进行了仿真和实验,对速度的跟踪性能和抖振的削弱性能进行了对比,结果显示负载不发生变化时速度跟踪误差由±0.08 km/h缩小到±0.01 km/h,负载发生变化时,速度跟踪误差由11.3 km/h缩小到1.6 km/h。     

基于干扰观测器的一类不确定非线性系统自适应二阶动态terminal滑模控制

针对一类不确定非线性系统的跟踪控制问题,在考虑建模误差、参数不确定和外部干扰情况下,以其拥有良好的跟踪性能以及强鲁棒性为目标,提出基于回归扰动模糊神经网络干扰观测器(recurrent perturbation fuzzy neural networks disturbance observer,RPFNNDO)的鲁棒自适应二阶动态terminal滑模控制策略.将回归网络、模糊神经网络和sine-cosine扰动函数各自优势相结合,给出一种回归扰动模糊神经网络结构,提出RPFNNDO设计方法,保证干扰估计准确性;构造基于带有指数函数滑模面的二阶快速terminal滑模面,给出其控制器设计过程,避免了滑模到达阶段、传统滑模的抖振问题,采用具有指数收敛的鲁棒项抑制干扰估计误差对系统跟踪性能的影响,利用Lyapunov理论证明闭环系统的稳定性;将该方法应用于混沌陀螺系统同步控制仿真实验,结果表明所提方法的有效性.     

改进滑模模型参考自适应的PMSM无传感控制

针对MRAS（模型参考自适应）观测器对PMSM（永磁同步电机）参数变化和外部干扰敏感的缺点,设计了一种用于PMSM无传感控制的软开关滑模模型参考自适应观测器。该观测器将滑模控制与MRAS相结合,并构造了边界层可变的正弦饱和函数,以抑制由于滑模控制引起的系统抖动,增强系统鲁棒性。同时引入sigmoid函数,以提高滑模软切换速度控制器的稳定性。实验仿真结果表明,软开关滑模模型参考自适应控制不仅可以实现边界层内的快速收敛、弱化抖动,而且跟踪能力强。     

可控励磁直线同步电动机的全局积分Terminal滑模控制

为提高可控励磁直线磁悬浮同步电动机进给系统的快速性与鲁棒性,提出全局积分Terminal滑模控制策略.构造新型的全局积分Terminal滑模面,对系统状态任意初值可在有限时间内收敛到零点,在趋近律中引入衰减因子,可减小系统抖振;在构造滑模面和趋近律的基础上设计全局积分Terminal滑模速度控制器;为进一步削弱滑模控制的抖振,减小切换增益,用径向基函数神经网络设计扰动观测器,并对扰动进行前馈补偿控制.仿真结果表明全局积分Terminal滑模控制策略能够明显改善系统的动态性能,缩短误差的收敛时间,提高系统抑制扰动的能力,削弱系统的抖振,增强系统的鲁棒性.