Precise robust motion control of cell puncture mechanism driven by piezoelectric actuators with fractional-order nonsingular terminal slidingmode control

A novel robust controller is proposed in this study to realize the precise motion control of a cell puncture mechanism(CPM)driven by piezoelectric ceramics(PEAs).The entire dynamic model of CPM is constructed based on the Bouc–Wen model,and the nonlinear part of the dynamic model is optimized locally to facilitate the construction of a robust controller.A model-based,nonlinear robust controller is constructed using time-delay estimation(TDE)and fractional-order nonsingular terminal sliding mode(FONTSM).The proposed controller does not require prior knowledge of unknown disturbances due to its real-time online estimation and compensation of unknown terms by using the TDE technology.The controller also has finite-time convergence and high-precision trajectory tracking capabilities due to FONTSM manifold and fast terminal sliding mode-type reaching law.The stability of the closed-loop system is proved by Lyapunov stability theory.Computer simulation and hardware-in-loop simulation experiments of CPM verify that the proposed controller outperforms traditional terminal sliding mode controllers,such as the integer-order or model-free controller.The proposed controller can also continuously output without chattering and has high control accuracy.Zebrafish embryo is used as a verification target to complete the cell puncture experiment.From the engineering application perspective,the proposed control strategy can be effectively applied in a PEA-driven CPM.

Nonsingular terminal sliding mode approach applied to synchronize chaotic systems with unknown parameters and nonlinear inputs

This paper deals with the design of a novel nonsingular terminal sliding mode controller for finite-time synchro-nization of two different chaotic systems with fully unknown parameters and nonlinear inputs. We propose a novel nonsingular terminal sliding surface and prove its finite-time convergence to zero. We assume that both the master＇s and the slave＇s system parameters are unknown in advance. Proper adaptation laws are derived to tackle the unknown parameters. An adaptive sliding mode control law is designed to ensure the existence of the sliding mode in finite time. We prove that both reaching and sliding mode phases are stable in finite time. An estimation of convergence time is given. Two illustrative examples show the effectiveness and usefulness of the proposed technique. It is worthwhile noticing that the introduced nonsingular terminal sliding mode can be applied to a wide variety of nonlinear control problems.

Nonsingular Fast Terminal Sliding Mode Control Based on Nonlinear Disturbance Observer for a Quadrotor

Given external disturbances and system uncertainties,a nonsingular fast terminal sliding mode control(NFTSMC)method integrated a nonlinear disturbance observer(NDO)is put forward for quadrotor aircraft.First,a NDO is proposed to estimate the actual values of uncertainties and disturbances.Second,the NFTSM controller based on the reaching law is designed for the attitude subsystem(inner loop),and the control strategy can ensure Euler angles’fast convergence and stability of the attitude subsystem.Moreover,the NFTSMC strategy combined with backstepping is proposed for the position subsystem(outer loop),which can ensure subsystem tracking performance.Finally,comparative simulations show the trajectory tracking performance of the proposed method is superior to that of the traditional sliding mode control(SMC)and the SM integral backstepping control under uncertainties and disturbances.

Adaptive Neural Observer-Based Nonsingular Super-Twisting Terminal Sliding-Mode Controller Design for a Class of Hovercraft Nonlinear Systems

Designing a controller to stabilize maneuvering hovercrafts is an important challenge in amphibious vehicles.Hovercrafts are implemented in several applications,such as military missions,transportation,and scientific tasks.Thus.to improve their performance,it is crucial to control the system and compensate uncertainties and disruptions.In this paper,both classic and intelligent approaches are combined to design an observer-based controller.The system is assumed to be both controllable and observable.An adaptive neural network observer with guaranteed stability is derived for the nonlinear dynamics of a hovercraft,which is controlled via a nonsingular super-twisting terminal sliding-mode method.The main merits of the proposed method are as follows:(1) the Lyapunov stability of the overall closed-loop system,(2) the convergence of the tracking and observer errors to zero,(3) the robustness against uncertainties and disturbances,and(4) the reduction of the chattering phenomena.The simulation results validate the excellent performance of the derived method.

Decoupled nonsingular terminal sliding mode control for affine nonlinear systems

A decoupled nonsingular terminal sliding mode control（DNTSMC） approach is proposed to address the tracking control problem of affine nonlinear systems.A nonsingular terminal sliding mode control（NTSMC） method is presented,in which the nonsingular terminal sliding surface is defined as a special nonsingular terminal function and the convergence time of the system states can be specified.The affine nonlinear system is firstly decoupled into linear subsystems via feedback linearization.Then,a nonsingular terminal sliding surface is defined and the NTSMC method is applied to each subsystem separately to ensure the finite time convergence of the closed-loop system.The verification example is given to demonstrate the effectiveness and robustness of the proposed approach.The proposed approach exhibits a considerable advantage in terms of faster tracking error convergence and less chattering compared with the conventional sliding mode control（CSMC）.

Terminal Sliding Mode Fuzzy Control Based on Multiple Sliding Surfaces for Nonlinear Ship Autopilot Systems

A terminal sliding mode fuzzy control based on multiple sliding surfaces was proposed for ship course tracking steering, which takes account of rudder characteristics and parameter uncertainty. In order to solve the problem, the controller was designed by employing the universal approximation property of fuzzy logic system, the advantage of Nussbaum function, and using multiple sliding mode control algorithm based on the recursive technique. In the last step of designing, a nonsingular terminal sliding mode was utilized to drive the last state of the system to converge in a finite period of time, and high-order sliding mode control law was designed to eliminate the chattering and make the system robust. The simulation results showed that the controller designed here could track a desired course fast and accurately. It also exhibited strong robustness peculiarly to system, and had better adaptive ability than traditional PID control algorithms.

Non-Negative Adaptive Mechanism-Based Sliding Mode Control for Parallel Manipulators with Uncertainties

In this paper,a non-negative adaptive mechanism based on an adaptive nonsingular fast terminal sliding mode control strategy is proposed to have finite time and high-speed trajectory tracking for parallel manipulators with the existence of unknown bounded complex uncertainties and external disturbances.The proposed approach is a hybrid scheme of the online non-negative adaptive mechanism,tracking differentiator,and nonsingular fast terminal sliding mode control(NFTSMC).Based on the online non-negative adaptive mechanism,the proposed control can remove the assumption that the uncertainties and disturbances must be bounded for the NFTSMC controllers.The proposed controller has several advantages such as simple structure,easy implementation,rapid response,chattering-free,high precision,robustness,singularity avoidance,and finite-time convergence.Since all control parameters are online updated via tracking differentiator and non-negative adaptive law,the tracking control performance at high-speed motions can be better in real-time requirement and disturbance rejection ability.Finally,simulation results validate the effectiveness of the proposed method.

Duffing混沌系统基于Terminal滑模控制的投影同步

基于Lyapunov稳定性理论设计了模糊非奇异Terminal滑模控制器,理论上证明了投影同步误差系统的稳定性.与常规方法相比,所设计的控制器具有较好的鲁棒性且可使系统状态在有限时间内达到对期望状态的完全跟踪.数值仿真验证了所给出方法的有效性.

无人机舵面故障高阶滑模重构观测器设计及主动容错控制

针对无人机舵面损伤故障容错问题,提出了基于二阶非奇异终端滑模重构观测器及主动容错设计方法。在分析舵面正常偏转运动学和动力学特性基础上,构建了无人机典型舵面故障非线性特性模型。提出无人机舵面故障的高阶滑模重构滑模观测器设计方案;引入线性变换降维简化观测器设计程式;将终端滑模和非奇异终端滑模结合起来,实现滑模运动有限时间快速收敛;综合自适应律、线性矩阵不等式设计观测器系数矩阵,确保状态估计偏差有界稳定。提出集状态与故障重构于一体的主动容错控制方案,并通过仿真算例检验所提方案的有效性。

PMSM无模型超螺旋快速积分终端滑模控制

针对永磁同步电机运行过程中因模型不确定、参数摄动和外部扰动等因素的影响,从而导致驱动系统性能下降的问题,提出一种新型控制策略。首先,为减少对系统数学模型的依赖,构建了一个新的超局部模型,用于描述永磁同步电机的转速环。其次,基于转速环的新型超局部模型,结合一种新型积分终端滑模面和改进超螺旋控制律来设计新型无模型超螺旋快速积分终端滑模控制器,实现了对转速的精确控制。再次,采用非奇异快速终端滑模面和双幂次趋近律设计改进扩展非奇异终端滑模扰动观测器,通过精确观测和前馈补偿未知扰动,有效地抑制参数摄动和外部扰动,增强了系统鲁棒性,提高系统的动态性能和稳态性能。最后,通过与传统控制方法的仿真和实验对比,证实所提算法转速抗超调能力提升为0.412 5%,转矩快速响应能力提升0.013 s。结果表明当存在未知扰动时,所提方法具有较强的鲁棒性和良好的抗干扰性。

基于扰动观测器的主动悬架切换控制算法研究

悬架控制需要实现乘坐舒适性和操纵稳定性之间的良好折中,此外还需要考虑系统的不确定性,是一项复杂的任务。本文以兼顾悬架的动力学性能指标、算法鲁棒性与成本因素为出发点,提出了一种基于扰动观测器的次优-非奇异终端滑模切换控制算法(DOB-SNTSM)。首先,以簧载质量加速度信息为输入,通过卡尔曼滤波器设计,实现了悬架动挠度和簧载质量速度的有效估计。然后,针对悬架系统中的不确定项估计,设计了一种扰动观测器,并将扰动估计值作为前馈补偿。接下来,以滑模面函数为依据,提出了一种次优-非奇异终端滑模切换控制算法,并与扰动观测器的前馈补偿相结合,共同构成一种新的主动悬架控制策略。最后,分别进行了凸包路面和平稳随机路面下的仿真和台架试验验证,结果表明,扰动观测器的引入能显著提升悬架的乘坐舒适性指标,相比经典的天棚控制、理想状态LQR方法、不带有扰动观测器的SNTSM算法,新算法不仅很好地实现各项悬架性能指标的均衡,而且能够仅利用簧载质量加速度信息就可以达到接近理想状态LQR的控制效果,同时,控制器切换方案可以显著提升算法鲁棒性。

非最小相位的单电感双输出Buck-Boost变换器的复合控制方法

单电感双输出Buck-Boost (SIDO Buck-Boost)变换器在电感电流连续模式(CCM)下工作存在交叉影响以及非最小相位特性的问题.为了解决上述问题,提出基于储能函数的扩张状态观测器(ESO)的改进非奇异快速终端滑模(NFTSM)和自抗扰控制(ADRC)相结合的控制策略.设计主路控制器,对系统的传递函数进行拟合得到ADRC范式,利用该范式对主路进行解耦控制.设计支路控制器,采用改进型ESO对储能函数进行观测,并将观测值反馈补偿到非奇异快速终端滑模控制律中,达到支路解耦的效果.为了抑制滑模控制的抖振问题,对趋近律进行改进.利用Lyapunov理论证明系统稳定性.基于硬件在环(HIL)实验平台进行实验验证.结果表明,所提控制策略与PI控制策略以及基于ESO的滑模控制策略相比,在超调量和响应时间上具有较好的效果.

On-line RNN compensated second order nonsingular terminal sliding mode control for hypersonic vehicle

Purpose–The purpose of this paper is to design a robust control scheme to achieve robust tracking of velocity and altitude commands for a general hypersonic vehicle(HSV)in the presence of parameter variations and external disturbances.Design/methodology/approach–The robust control scheme is composed of nonsingular terminal sliding mode control(NTSMC),super twisting control algorithm(STC)and recurrent neural network(RNN).First,by combing a novel NTSMC and STC algorithm,a second order NTSMC approach for HSV is proposed to provide fast,continuous and high precision tracking control.Second to relax the requirements for the bounds of the lumped uncertainties in control design,a RNN disturbance observer is presented to increase the robustness of the control system.The weights of RNN are updated by adaptive laws based on Lyapunov theorem,thus the closed-loop stability can be guaranteed.Findings–Simulation results demonstrate that the proposed method is effective,leading to promising performance.Originality/value–The main contributions of this work are:first,both parameter variations and external disturbances are considered in control design for the longitudinal dynamic model of HSV;and second,the proposed controller can remove chattering and achieve more favorable tracking performances than conventional sliding mode control.

Improved Nonsingular Fast Terminal Sliding Mode Control of Unmanned Underwater Hovering Vehicle

An improved nonsingular fast terminal sliding mode manifold based on scaled state error is proposed in this paper.It can significantly accelerate the convergence rate of the state error which is initially far from the origin and achieve the fixed-time convergence.In addition,conventional double power term based reaching law is improved to ensure the convergence of sliding state in the presence of disturbances.The proposed approach is applied to the hovering control of an unmanned underwater vehicle.The controller exhibits both fast convergence and strong robustness to model uncertainty and external disturbances.

直流伺服电机新型位置-速度控制策略

针对由直流电机位置伺服系统自身参数不确定以及外部扰动影响,导致系统响应速度、控制精度降低的问题,提出了一种新型位置-速度双环控制策略。速度控制器采用模糊内模PID(proportional-integral-differential)控制,利用模糊原理实现对内模PID控制器参数,即滤波时间常数λ的在线智能整定;位置控制器采用基于自抗扰的非奇异快速终端滑模控制(non-singular fast terminal sliding mode control,NFTSMC),利用线性扩张状态观测器对系统总体的内外干扰进行估计,并以反馈形式进行补偿,同时采用NFTSMC对系统的状态变量进行跟踪,以提高系统的跟踪性能和抗干扰性;最后使用仿真与实验方法验证了新型双闭环控制策略对直流电机位置伺服系统具有良好的控制性能。

基于非线性扰动观测的储能双向DC-DC变换器非奇异终端滑模控制策略

在光储直流微电网系统中,储能双向DC-DC变换器在储能设备与直流母线之间起着关键的接口作用,其在光伏输出功率及负载大信号扰动下的性能优劣至关重要,将直接影响着直流母线电压的稳定运行。为此,提出了一种基于非线性扰动观测器(nonlinear disturbance observer,NDO)的非奇异终端滑模控制策略。首先采用基于微分几何理论的精确反馈线性化方法,将双向DC-DC变换器系统的状态空间模型转化为布鲁诺夫斯基标准式,并利用非线性扰动观测器对系统扰动量进行估计和补偿。在此基础上设计非奇异终端滑模控制器,并根据李雅普诺夫稳定性理论,证明所提控制策略的稳定性;进而分析所提控制策略的收敛性。最后,通过仿真验证所提控制策略的有效性。仿真结果表明,与文献中典型非线性控制策略相比,本文所提控制策略在光伏输出功率和负载有较大扰动时响应时间较快,并具有电压过充小、稳态误差小的优点。

基于NESO-LFDC的四旋翼无人机滑模姿态控制

针对四旋翼无人机姿态控制中存在空气动力学特性复杂,易受干扰的特性,提出一种基于非线性扩张状态观测器(nonlinear extended state observer,NESO)和低频干扰补偿器(low-frequency disturbance compensator,LFDC)的非奇异快速终端滑模控制方法。该方法内环设计了NESO和LFDC结合,以获得干扰补偿值并补偿总干扰的低频分量。在外环设计了跟踪微分器和可变切换增益的非奇异快速终端滑模控制器,用于补偿虚拟干扰估计值的误差和总干扰的高频分量。仿真结果表明,该控制方法可以更好地估计总干扰的低频和高频分量,减少虚拟干扰估计值的误差对四旋翼无人机姿态控制的影响,并提升响应速度。

大攻角条件下制导弹滚转稳定控制方法

制导弹跨域飞行过程中,伴随着大攻角下的涡流非对称以及跨音速气动转捩,这些干扰将引起控制失稳,进一步增大脱靶量。针对以上问题,考虑气动模型强非线性、强参数不确定性及强外界干扰,建立制导弹滚转通道动力学模型,进而提出一种基于滑模观测器与非奇异终端滑模的滚转姿态组合控制方法。以此为基础框架,结合微分跟踪器设计一种反步控制方法,以补偿执行机构动力学。利用Lyapunov稳定性理论证明了闭环系统稳定性及有限时间收敛特性。通过仿真实验验证了所设计控制方法的优越性及普适性。

基于自适应有限时间控制策略的高分辨率显微镜运动控制

针对大数值孔径显微成像技术对物镜位移台提出的长行程、高精度和大负载的要求,提出了一种非线性鲁棒运动控制策略以实现物镜位移台的精密运动。设计了大数值孔径显微镜的光路系统、虚拟样机以及由滚珠丝杠驱动的物镜位移台,采用双螺母预紧的方式消除滚珠丝杠传动间隙。将自适应技术引入非奇异终端滑模控制,实现系统状态的有限时间收敛,提高系统鲁棒性。针对滚珠丝杠传动机构内部的非线性摩擦效应,采用时延估计技术实现摩擦力的在线估计和实时补偿,将时延估计技术和自适应非奇异终端滑模控制相结合获得无模型控制特性。通过Lyapunov理论证明了闭环系统的稳定性。搭建了一个高分辨率的光学显微镜,实现物镜位移台的精密运动,采集到小鼠心肌细胞的显微图像,证明了所提算法的有效性。

基于复合非奇异快速终端滑模算法的PMSM位置控制

针对永磁同步电机(PMSM)位置控制系统在参数摄动和负载扰动等各种不确定性下的位置跟踪精度低和鲁棒性差的问题,提出了一种结合非奇异快速终端滑模控制(NFTSMC)和扰动观测器的复合控制策略。首先,NFTSMC采用了具有全局快速收敛特性的非线性滑模面,结合连续的滑模控制率设计了位置控制器,通过Lyapunov定理证明了其稳定性。然后,为了进一步提高永磁同步电机位置控制系统的鲁棒性,引入扩张状态观测器来精确估计系统的集总扰动并对位置控制器进行前馈补偿。最后,仿真与实验结果表明,与传统的滑模相比,所提出的复合滑模控制策略具有更快的动态响应、更高的跟踪精度和更强的鲁棒性。