Optimal second order sliding mode control for linear uncertain systems

In this paper an optimal second order sliding mode controller (OSOSMC) is proposed to track a linear uncertain system. The optimal controller based on the linear quadratic regulator method is designed for the nominal system. An integral sliding mode controller is combined with the optimal controller to ensure robustness of the linear system which is affected by parametric uncertainties and external disturbances. To achieve finite time convergence of the sliding mode, a nonsingular terminal sliding surface is added with the integral sliding surface giving rise to a second order sliding mode controller. The main advantage of the proposed OSOSMC is that the control input is substantially reduced and it becomes chattering free. Simulation results confirm superiority of the proposed OSOSMC over some existing.     

Optimal second order sliding mode control for nonlinear uncertain systems

In this paper, a chattering free optimal second order sliding mode control (OSOSMC) method is proposed to stabilize nonlinear systems affected by uncertainties. The nonlinear optimal control strategy is based on the control Lyapunov function (CLF). For ensuring robustness of the optimal controller in the presence of parametric uncertainty and external disturbances, a sliding mode control scheme is realized by combining an integral and a terminal sliding surface. The resulting second order sliding mode can effectively reduce chattering in the control input. Simulation results confirm the supremacy of the proposed optimal second order sliding mode control over some existing sliding mode controllers in controlling nonlinear systems affected by uncertainty.     

Anti-disturbance speed control of low-speed high-torque PMSM based on second-order non-singular terminal sliding mode load observer

This paper presents an anti-disturbance speed control of low-speed high-torque permanent magnet synchronous motor (PMSM) based on the second-order non-singular terminal sliding mode load observer. According to the coordinate transformation theory, the mathematical model of PMSM is established. Subsequently, the second-order non-singular terminal sliding mode observer (SNTSMO) is designed to observe the changes of load disturbance in the PMSM system. The SNTSMO combines the advantages of both high-order sliding mode and non-singular terminal sliding mode to achieve the fast convergence and no chattering. Next, the sliding mode controller (SMC) is designed to achieve speed loop control of PMSM. Then, the anti-disturbance compound speed controller is established on the basis of SMC and SNTSMO, wherein the feed-forward compensation is used to reduce the disturbance from the load. Finally, the numerical simulations and experiments are presented according to the schematic diagram of the designed compound speed controller of PMSM. The results demonstrate that the designed SNTSMO can precisely estimate the load disturbance and suppress the effects of buffeting in the traditional sliding mode observer (SMO). Additionally, the designed compound speed controller of PMSM can achieve smooth speed control in the presence of load disturbance, achieve the purpose of anti-disturbance speed control and further improve the robustness of the control system.     

焊接机器人非奇异Terminal滑模控制系统研究

针对焊接机器人不确定性系统的特点,进行了非奇异Terminal滑模控制系统研究。建立了焊接机器人动态模型;确定了控制系统的硬件结构,并在此基础上探讨了系统非奇异Terminal滑模控制的基本原理。最后,结合实例对焊接机器人非奇异Terminal滑模控制系统进行了数值仿真。结果表明,该控制系统的自适应性强,精度高,误差可以快速收敛到0。     

Adaptive terminal sliding mode control for hypersonic flight vehicles with strictly lower convex function based nonlinear disturbance observer

In this paper, the altitude and velocity tracking control of a generic hypersonic flight vehicle (HFV) is considered. A novel adaptive terminal sliding mode controller (ATSMC) with strictly lower convex function based nonlinear disturbance observer (SDOB) is proposed for the longitudinal dynamics of HFV in presence of both parametric uncertainties and external disturbances. First, for the sake of enhancing the anti-interference capability, SDOB is presented to estimate and compensate the equivalent disturbances by introducing a strictly lower convex function. Next, the SDOB based ATSMC (SDOB-ATSMC) is proposed to guarantee the system outputs track the reference trajectory. Then, stability of the proposed control scheme is analyzed by the Lyapunov function method. Compared with other HFV control approaches, key novelties of SDOB-ATSMC are that a novel SDOB is proposed and drawn into the (virtual) control laws to compensate the disturbances and that several adaptive laws are used to deal with the differential explosion problem. Finally, it is illustrated by the simulation results that the new method exhibits an excellent robustness and a better disturbance rejection performance than the convention approach.     

基于模糊滑模控制的再生制动系统稳定性分析

针对电动汽车再生制动系统稳定性问题,将模糊滑模控制技术应用于再生制动过程的稳定性研究。分析了再生制动过程中3种制动模式之间的相互关联以及动态演化,并综合考虑车辆制动稳定性及制动能量回收率,提出了电机再生制动力和前后轮液压制动力协调控制的最大化制动力分配策略;以滑移率为控制目标,将模糊控制与变结构控制相结合,建立了基于电机再生制动的稳定性模糊滑模控制策略;依据实车参数,对控制策略模型进行了仿真分析。研究结果表明,模糊滑模控制实现了电动汽车制动模式的合理切换,并验证了控制策略的有效性。     

基于扩张状态观测器的炮控系统串联滑模控制

针对坦克炮控系统中存在齿圈间隙、摩擦力矩和参数漂移等多种非线性因素造成系统驱动延时、换向振荡和低速“爬行”等问题,设计了一种基于扩张状态观测器(ESO)的炮控系统串联滑模控制器.首先,利用系统内部可测信息,将炮控系统分解为n个串联的一阶子系统;然后,引入ESO估计各子系统的不确定性.在此基础上,基于backsteppi...     

A distributed model predictive control based load frequency control scheme for multi-area interconnected power system using discrete-time Laguerre functions

This paper proposes a distributed model predictive control based load frequency control (MPC-LFC) scheme to improve control performances in the frequency regulation of power system. In order to reduce the computational burden in the rolling optimization with a sufficiently large prediction horizon, the orthonormal Laguerre functions are utilized to approximate the predicted control trajectory. The closed-loop stability of the proposed MPC scheme is achieved by adding a terminal equality constraint to the online quadratic optimization and taking the cost function as the Lyapunov function. Furthermore, the treatments of some typical constraints in load frequency control have been studied based on the specific Laguerre-based formulations. Simulations have been conducted in two different interconnected power systems to validate the effectiveness of the proposed distributed MPC-LFC as well as its superiority over the comparative methods.     

Second order sliding mode control for a quadrotor UAV

A method based on second order sliding mode control (2-SMC) is proposed to design controllers for a small quadrotor UAV. For the switching sliding manifold design, the selection of the coefficients of the switching sliding manifold is in general a sophisticated issue because the coefficients are nonlinear. In this work, in order to perform the position and attitude tracking control of the quadrotor perfectly, the dynamical model of the quadrotor is divided into two subsystems, i.e., a fully actuated subsystem and an underactuated subsystem. For the former, a sliding manifold is defined by combining the position and velocity tracking errors of one state variable, i.e., the sliding manifold has two coefficients. For the latter, a sliding manifold is constructed via a linear combination of position and velocity tracking errors of two state variables, i.e., the sliding manifold has four coefficients. In order to further obtain the nonlinear coefficients of the sliding manifold, Hurwitz stability analysis is used to the solving process. In addition, the flight controllers are derived by using Lyapunov theory, which guarantees that all system state trajectories reach and stay on the sliding surfaces. Extensive simulation results are given to illustrate the effectiveness of the proposed control method.     

Design of an adaptive super-twisting decoupled terminal sliding mode control scheme for a class of fourth-order systems

This paper proposes an adaptive super-twisting decoupled terminal sliding mode control technique for a class of fourth-order systems. The adaptive-tuning law eliminates the requirement of the knowledge about the upper bounds of external perturbations. Using the proposed control procedure, the state variables of cart-pole system are converged to decoupled terminal sliding surfaces and their equilibrium points in the finite time. Moreover, via the super-twisting algorithm, the chattering phenomenon is avoided without affecting the control performance. The numerical results demonstrate the high stabilization accuracy and lower performance indices values of the suggested method over the other ones. The simulation results on the cart-pole system as well as experimental validations demonstrate that the proposed control technique exhibits a reasonable performance in comparison with the other methods.     

双边遥操作系统二阶滑模控制器设计

一阶滑模控制方法由于需要大的带宽和高频切换信号,以及处理系统的参数不确定和强非线性,在双边遥操作的工程应用中难以推广。针对上述问题,将二阶滑模控制和阻抗控制联合起来,设计了大时延下的控制结构,并利用全维状态观测器对主从手机械臂的加速度、速度进行了观测,实现了双边遥操作系统的鲁棒平滑控制;在此基础上,分析了加入观测器后整个系统的闭环稳定性,给出了稳定性定理,并用李雅普诺夫函数方法进行了证明;最后分两种时延情况对闭环系统进行了仿真。实验结果表明,该方法可以使系统具有了较好的稳定性能。     

一类不确定非线性系统的自适应滑模控制

滑模变结构控制系统能够通过控制其本身结构的变化,使得系统性能保持一直高于一般固定结构控制所能达到的性能,突破了经典线性控制系统的品质限制,适用于非线性的不确定系统。同时滑模控制能保证在模型的不确定和外部扰动的情况下系统的稳定性与鲁棒性,而且以损失能导致抖振的最优控制性能而得到稳定鲁棒性,同时它的不确定性上界必须是已知的,但有时候很难得到上界。这样提出一种自适应的方法以进一步避免这些问题,同时这种方法能保证闭环系统的稳定性。本论文给出仿真结果来验证该方法的有效性。     

不确定离散系统全程滑模变结构控制研究

讨论线性多变量不确定离散系统全程滑模变结构控制问题。本文将干扰和参数不确定性等效为系统的外界干扰，利用时延性对不确定性进行在线估计，并根据全程滑模的特点采用等效控制方法设计控制器。本文的方法克服了以往控制方法中须已知不确定性界的限制，且不必满足匹配条件．且采用等效控制方法设计控制器解决了以往用离散趋近律方法设计控制器系统存在抖振的问题。并基于倒立摆模型进行了仿真，结果验证了其有效性。     

基于动态滑模的起重机位置控制系统设计

给出了起重机电机负载系统的数学模型,以此模型为基础,采用动态滑模控制理论,分别设计了系统的磁链动态滑模控制器和位置动态滑模控制器,考虑到系统转子磁链无法直接测量,设计了转子磁链观测器;为保证动态滑模面的物理可实现性,对系统的不确定干扰设计了自适应律,进行自适应估计。仿真结果表明系统具有较好的动态性能,较高的位置控制精度及对干扰具有良好的鲁棒性。     

神经滑模控制在转台伺服系统应用

以直流电机为执行机构,分析了飞行仿真转台伺服系统的数学模型。滑模控制具有对系统扰动和参数摄动的自适应性,可实现伺服系统的快速响应,同时有效克服低速状态下摩擦力矩的影响。系统抖振问题是滑模控制的突出问题,利用径向基神经网络的非线性逼近能力,给出以切换函数为网络输入,以滑模控制器为网络输出,构建了神经滑模控制器,软件仿真结果表明所设计的滑模控制器能达到较好的控制品质,有效的克服系统抖振和外部扰动,实现系统低速摩擦补偿。     

基于交流伺服电机驱动的并联机器人动态滑模控制

并联机器人具有刚度大、承载能力强、误差小等特点,针对以交流伺服电机驱动的并联机器人机构--GPM-200并联机构,建立了控制系统模型,并在其工作空间中进行了轨迹规划,而后设计了一种动态滑模控制算法,在Matlab/Simulink上进行了仿真实验,结果表明:该算法鲁棒性好,且系统抗干扰能力强,对系统参数变化不敏感,具有良好的跟踪性能,实现了对该并联机器人的高精度实时控制.     

Composite fuzzy sliding mode control of nonlinear singularly perturbed systems

This paper deals with the robust asymptotic stabilization for a class of nonlinear singularly perturbed systems using the fuzzy sliding mode control technique. In the proposed approach the original system is decomposed into two subsystems as slow and fast models by the singularly perturbed method. The composite fuzzy sliding mode controller is designed for stabilizing the full order system by combining separately designed slow and fast fuzzy sliding mode controllers. The two-time scale design approach minimizes the effect of boundary layer system on the full order system. A stability analysis allows us to provide sufficient conditions for the asymptotic stability of the full order closed-loop system. The simulation results show improved system performance of the proposed controller as compared to existing methods. The experimentation results validate the effectiveness of the proposed controller.     

基于滑模控制的虚拟NOx传感器建模与仿真

为解决降低汽车尾气排放的对大气有污染的NOx的含量,对NOx的含量进行检测以便转化控制等问题,将滑膜控制理论应用到虚拟NOx传感器的设计中,开展了滑模控制的基本原理分析,建立了滑模控制理论与虚拟NOx传感器设计之间的关系,提出用Matlab的Simulink模块来搭建所设计的虚拟NOx传感器的模型的方法,并进行仿真。最后将仿真结果与理想信号进行了比较试验。研究结果表明,该虚拟NOx传感器的显示信号和理想信号高度吻合,说明该虚拟NOx传感器在理论上是可行的。     

机器人关节滑模变结构的位置控制

为了使机器人关节有良好的静态特性,并具有一定的抗干扰能力,提出了一种由力矩电机和谐波减速机组成的机器人关节,采用指数趋近律的滑模变结构和模糊自适应滑模控制对机器人关节进行了位置控制,通过对机器人单关节Simulink建模仿真比较,结果表明,模糊自适应滑模控制大大减轻了指数趋近律滑模控制的抖振问题,其稳态精度达到了9×10-5rad;且与PID控制相比较,其响应速度快;在受高斯扰动时,采用模糊自适应滑模控制的关节发生的角度偏差整整比PID控制小10倍。仿真结果表明,滑模控制在机器人关节控制中精度高,响应速度快,具有一定的鲁棒性能。