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.     

带宽化扰动观测复合滑模的闭链机构协调控制

针对闭链机构关节协调控制问题,在耦合空间中提出了一种带宽化扰动观测器复合等速趋近律的滑模控制方法.扰动观测器保留扩张状态观测器的计算结构,使用观测误差的比例、积分、微分(P, I, D)估计扰动;它与滑模控制复合,不但放宽了滑模切换增益的边界条件,而且消除了抖振.使用等速趋近律,切换增益可根据执行器饱和限制条件计算获得,其他控制参数结合带宽参数化法整定.仿真和实验表明,带宽化扰动观测器复合滑模控制,可以在系统限制允许的范围内有效解决闭链机构协调控制问题,且具有参数物理意义明确,易整定的优点.     

扰动下永磁同步风力发电机的改进滑模控制

针对永磁直驱同步风力发电机传统PI矢量控制方式鲁棒性差的问题,提出一种非奇异快速终端滑模控制方法.针对滑模控制中的抖振问题,在指数趋近律中引入光滑连续的双曲正切函数代替符号函数;针对滑模控制中的外部扰动问题,采用扩张状态观测器进行在线估计和补偿,得出基于扩张状态观测器的非奇异快速终端滑模控制器.使用Matlab/Sim...     

基于扩张状态观测器的永磁同步电机滑模控制

针对永磁同步电机对外部负载扰动和参数变化比较敏感的控制问题,研究了一种基于扩张状态观测器和趋近律的滑模控制方法.该方法首先对扩张状态观测器进行了设计,然后分别建立了基于扩张状态观测器和趋近律的滑模控制,并用双极S型函数代替符号函数用以削弱滑模抖振,最后对稳定性进行了证明.仿真结果表明:设计的控制方法不仅具有很强的鲁棒性和强抗干扰能力,而且响应速度快,控制精度高.     

基于干扰观测器的不确定非线性系统终端滑模控制器设计

考虑系统遭受复合干扰影响,针对一类不确定非线性系统的控制问题展开研究.首先,提出一种n阶超螺旋干扰观测器,对系统干扰进行估计;然后,结合系统的结构特点和滑模控制理论构造积分滑模面,并与二阶快速终端滑模控制理论相结合,设计基于干扰观测器的滑模控制器,通过引入反曲函数降低抖振,利用Lyapunov理论证明闭环系统的稳定性;最后,将该方法应用到磁悬浮系统的稳定性控制并进行仿真实验,结果表明了所提出方法的有效性.     

Buck变换器的降阶扩张状态观测器与无抖振滑模控制

针对脉宽调制型Buck变换器的内外干扰和滑模控制的抖振等问题, 本文提出了一种基于降阶扩张状态观测器 和无抖振滑模的新型控制策略. 首先, 建立新型的跟踪误差状态空间模型, 将匹配和不匹配干扰定义为统一的匹配干扰; 然后, 设计降阶扩张状态观测器提高跟踪误差微分和系统干扰的估计速度, 并抵消负载和输入端的电压变化、系统参数 不确定性对控制系统的影响; 其次, 利用跟踪误差微分的估计值设计滑模控制器抑制干扰估计误差, 使得切换项近似为 零, 实现滑模技术的无抖振控制, 提高Buck变换器系统电压跟踪的快速性和准确性. 利用李雅普诺夫稳定判据从理论上 证明了所提控制器的闭环稳定性. 最后, 仿真结果表明所提方法通过抑制抖振和内外干扰有效改善Buck变换器的鲁棒 性和动态性能.     

新型有限时间收敛滑模扩张状态观测器研究

针对一类具有量测噪声的非线性不确定系统,设计了基于新型滑模扩张状态观测器的Terminal滑模控制方案．首先对系统进行两次状态扩张,然后设计一种新型滑模扩张状态观测器,通过采用特殊的滑模面保证观测误差在有限时间内收敛到零．在此基础上,设计Terminal滑模控制器,使系统状态也能在有限时间内收敛到零．严格的理论证明和仿真结果均证明了所设计新型滑模观测器及闭环控制方案的有效性和快速性．     

一类3阶非线性系统的非奇异终端滑模控制

针对传统非奇异终端滑模控制方法不适用于3阶系统的问题,提出一类具有不确定和外干扰的3阶非线性系统的新型非奇异终端滑模控制方法.该方案首先结合backstepping控制中的动态面方法和传统2阶非奇异终端滑模控制构造非奇异3阶终端滑模面,首次提出采用高阶滑模微分器估计值代替控制器中的负指数项.采用非线性干扰观测器任意精度地估计不确定和干扰,设计控制器中的补偿项.采用终端吸引子函数做趋近律避免抖振的同时能保证有限时间趋近滑模面.基于有限时间稳定李雅普诺夫定理证明了被控状态将在有限时间内收敛到任意小的闭球内.所提出方案快于传统的递阶线性滑模控制和其他非奇异终端滑模控制.仿真中与其他滑模控制方案对比,总误差减小18%以上,超调及收敛时间也显著下降.     

基于过零检测的Buck变换器自适应连续滑模控制

为提高Buck变换器的输出电压品质,本文提出一种基于在线过零检测自适应机制的连续滑模控制方法,可有效抑制抖振问题,且可保证系统稳态误差收敛到给定范围.本文建立变换器的数学模型,从滑模面和控制律两方面改进传统滑模控制算法,即有目的地将系统状态的积分项引入到滑模面的设计中,并将其收敛轨迹分成两阶段,实时测量其过零点的个数;将期望的稳态误差纳入到滑模控制律的设计中,引入由系统状态过零点个数决定的自适应变增益,在收敛轨迹的约束下,分阶段推导出其变增益的连续控制律,并给出相应的稳定性分析.最后,通过与传统一阶和二阶滑模的理论和仿真性能对比,证明所提方法在抖振抑制、响应速度和控制精度方面的优越性.     

基于滑模控制的机械臂轨迹跟踪控制

针对多自由度机械臂轨迹跟踪存在的外部干扰和系统抖振问题,设计了一种干扰观测器结合滑模控制的轨迹跟踪方法.针对干扰问题,采用干扰观测器对系统的外部干扰进行观测;针对控制系统存在的抖振问题,设计滑模控制器进行补偿.采用二自由度机械臂为控制对象进行仿真实验,结果表明,该方法能有效克服外部扰动的同时,有效地削弱了系统抖振,提高...     

A third-order sliding mode controller for nonlinear multivariable systems

This paper proposes a third-order sliding mode controller for nonlinear multivariable systems with uncertain parameters and subject to external disturbances. The controller achieves fast convergence rate, high tracking accuracy, and a reduced level of chattering. The stability of the controller and its global ultimately uniform convergence is proved by the Lyapunov stability theory. Simulation results on a single inverted pendulum system are given to illustrate the effectiveness of the proposed control scheme by comparing it with methods such as a second-order supertwisting controller, a third-order supertwisting controller, and an integral terminal third-order sliding mode controller.     

A new sliding function for discrete predictive sliding mode control of time delay systems

The control of time delay systems is still an open area for research. This paper proposes an enhanced model predictive discrete-time sliding mode control with a new sliding function for a linear system with state delay. Firstly, a new sliding function including a present value and a past value of the state, called dynamic surface, is designed by means of linear matrix inequalities （LMIs）. Then, using this dynamic function and the rolling optimization method in the predictive control strategy, a discrete predictive sliding mode controller is synthesized. This new strategy is proposed to eliminate the undesirable effect of the delay term in the closed loop system. Also, the designed control strategy is more robust, and has a chattering reduction property and a faster convergence of the system s state. Finally, a numerical example is given to illustrate the effectiveness of the proposed control.     

基于扰动观测器补偿的机械臂非奇异快速终端滑模控制

针对机械臂系统在实际应用中存在的建模误差及未知扰动问题, 设计了一种基于扰动观测器的改进型非 奇异快速终端滑模控制策略. 通过扰动观测器准确估计系统存在的总扰动, 并设计恰当的非线性增益函数使扰动观 测误差指数收敛, 实现了对控制器的前馈补偿. 考虑到终端滑模存在的奇异性问题, 结合扰动观测器设计了非奇异 快速终端滑模控制器, 在保证跟踪误差有限时间收敛的同时抑制了滑模控制固有的抖振现象. 同时在控制器设计过 程中, 用fal函数代替sig函数有利于削弱滑模控制抖振, 提高系统稳定性及跟踪精度. 最后, 利用MATLAB软件进行 实验仿真, 验证了所设计控制器的有效性.     

Fixed-time sliding mode observer-based controller for a class of uncertain nonlinear double integrator systems

This paper investigates a fixed-time convergence issue using the sliding mode observer-based controller for a class of uncertain nonlinear double integrator systems. This observer-based controller is designed assuming that only the first state measurement is available and there is no information about external disturbances and modeling uncertainties. A new form of sliding mode observer in combination with a sliding mode controller is designed to estimate unmeasured state and unknown disturbances and uncertainties as well as provide the estimated data in the control law. A novel form of sliding surfaces for the robust observer-based controller is proposed for which fixed-time convergence is guaranteed to achieve trajectory tracking. In the proposed fixed-time scheme, the bound on the settling time is user-defined using design parameters regardless of the system's initial conditions. The control law and observer law are designed such that the chattering issue is alleviated in the control signal. The stability analysis of the closed-loop system using the observer-based controller is established via the Lyapunov theory. The validity of the controller design is tested by applying and simulating an example of a robot manipulator in Simulink/MATLAB. The superiority of the proposed method is demonstrated by comparing it with two other methods from the relevant literature.     

An improved continuous sliding mode controller for flexible air‐breathing hypersonic vehicle

An improved continuous sliding mode control algorithm is proposed for a flexible air‐breathing hypersonic vehicle (FAHV), including nonsingular fast fixed‐time sliding surface (NFFS) and dual‐layer adaptive continuous twisting reaching law (DACTL). Firstly, the nonlinear control‐oriented model of FAHV is processed using input/output feedback linearization method with the significant flexible effects modeling as unknown matched disturbances. Secondly, a novel NFFS is improved from conventional fixed‐time sliding surface by adjusting power exponent to accelerate convergence rate. In the meanwhile, in order to avoid singularity aroused by fractional power term, an exponential convergent sliding surface is switched when tracking error approaches zero. Thirdly, a DACTL is proposed to realize finite‐time convergence of sliding mode variable with higher convergence precision and less chattering. Dual‐layer adaptive law is utilized to adjust the gain in DACTL based on equivalent control concept so as to enhance robustness automatically and avoid overestimation of control gain. Meanwhile, disturbances can be compensated without knowledge of Lipschitz constants. Ultimately, simulations on longitudinal control of FAHV demonstrate the control algorithm proposed is superior to conventional quasi‐continuous sliding mode controller in the aspect of convergence accuracy and chattering suppression.     

低风速风力机最大风能追踪的互补滑模控制

针对风力机系统在最大功率点跟踪(MPPT)阶段易受风速等不确定因素的影响,为了进一步提高风力机的风能捕获效率,本文在滑模控制的基础上提出了一种互补滑模控制方法.首先,建立了含有干扰项的风力机系统的线性化模型,采用广义滑模面与互补滑模面相结合的方法设计了互补滑模控制器,并在理论上证明了此控制方法能够有效保证风力机转速跟踪误差的收敛性,且能提高转速跟踪精度.其次,采用风力机专业仿真软件FAST对美国可再生能源实验室(NREL)的600 kW风力机进行了仿真实验,结果表明本文所提出的控制方法不但能提高风力机的风能捕获效率,而且能有效减小转速跟踪误差.最后,将本文所提方法与现有常见的几种控制方法相比较发现:风力机系统在互补滑模控制策略下,具有更高的风能捕获效率和更小的转速跟踪误差.     

A neuro-fuzzy-sliding mode controller using nonlinear sliding surface applied to the coupled tanks system

The aim of this paper is to develop a neuro-fuzzy-sliding mode controller （NFSMC） with a nonlinear sliding surface for a coupled tank system. The main purpose is to eliminate the chattering phenomenon and to overcome the problem of the equivalent control computation. A first-order nonlinear sliding surface is presented, on which the developed sliding mode controller （SMC） is based. Mathematical proof for the stability and convergence of the system is presented. In order to reduce the chattering in SMC, a fixed boundary layer around the switch surface is used. Within the boundary layer, where the fuzzy logic control is applied, the chattering phenomenon, which is inherent in a sliding mode control, is avoided by smoothing the switch signal. Outside the boundary, the sliding mode control is applied to drive the system states into the boundary layer. Moreover, to compute the equivalent controller, a feed-forward neural network （NN） is used. The weights of the net are updated such that the corrective control term of the NFSMC goes to zero. Then, this NN also alleviates the chattering phenomenon because a big gain in the corrective control term produces a more serious chattering than a small gain. Experimental studies carried out on a coupled tank system indicate that the proposed approach is good for control applications.     

基于ESO的永磁同步电机伺服系统快速终端滑模控制

为了优化永磁同步电机(PMSM)伺服系统的控制性能, 本文提出了一种基于非奇异快速终端滑模控制(NFTSMC)和扩张状态观测器(ESO)的复合控制策略. 论文首先建立了考虑集总扰动的永磁同步电机数学模型, 根据所定义的非奇异终端滑模面和趋近律, 设计了位置跟踪控制器, 所设计的控制器采用非级联结构替代了传统的位置环和速度环控制器, 并通过李亚普诺夫定理证明了稳定性和有限时间内收敛. 为了进一步提高系统的抗扰动性能, 本文引入了扩张状态观测器来估计系统扰动并将其应用于前馈补偿. 然后, 文章对系统整体进行了稳定性证明. 最后,文章完成了基于所设计控制器的仿真和实验验证. 结果表明, 该控制器具有良好的位置跟踪性能且收敛速度快, 对外部干扰具有强鲁棒性.     

Sliding mode control of wind-induced vibrations using fuzzy sliding surface and gain adaptation

Although fuzzy/adaptive sliding mode control can reduce the chattering problem in structural vibration control applications, they require the equivalent control and the upper bounds of the system uncertainties. In this paper, we used fuzzy logic to approximate the standard sliding surface and designed a dead-zone adaptive law for tuning the switching gain of the sliding mode control. The stability of the proposed controller is established using Lyapunov stability theory. A six-storey building prototype equipped with an active mass damper has been used to demonstrate the effectiveness of the proposed controller towards the wind-induced vibrations.