交流位置伺服系统的时间次优滑模控制器设计

为了提高伺服系统定位过程中的动态特性和鲁棒性,提出一种新的时间次优滑模控制器的设计方法。首先,借鉴时间最优控制对伺服定位过程中的系统状态进行规划,得到时间最优的位置和速度响应轨迹,从而保证定位的快速性。其次,针对传统时间最优控制鲁棒性差和工程实现较难等问题,根据期望的时间最优状态轨迹设计非线性滑模面,并采用鲁棒趋近律方法设计滑模控制律,实现了伺服定位的鲁棒时间次优控制,仿真结果验证了该方法的有效性。最后,在永磁同步电机伺服控制器开发平台中进行了实验分析,结果表明所提出的控制方法具有很好的动态响应性能和鲁棒     

任意初态下的工业机器人迭代学习控制

对迭代初值为任意值的工业机器人轨迹跟踪控制系统,提出了一种基于滑模面的非线性迭代学习控制算法,使机器人轨迹能快速、精确跟踪上期望轨迹.基于有限时间收敛原理,构建了关于机器人轨迹跟踪误差的迭代滑模面,在滑模面内,机器人轨迹跟踪误差在预定时间内收敛到零.设计了基于滑模面的迭代学习控制算法,理论证明了随着迭代次数的增加,处于...     

A time-optimal control algorithm for digital computer control

A time-optimal control algorithm for digital computer control allowing bounds on control variables and state variables is presented. Through linear programming techniques a time-optimal sequence is computed by using a linear discrete model of the process. For real-time applications feedback control is achieved by recalculating the control sequence each sampling period. In addition, an adaptive control strategy based on on-line estimation of the state variables and the parameters of the system is introduced. In order to be able to apply the algorithm in a real-time environment, computational efficiency is emphasized. An application of the algorithm to a sixth-order multivariable system is given.     

Predefined-time control for Euler–Lagrange systems with model uncertainties and actuator faults

A novel adaptive predefined-time tracking control algorithm is proposed for the Euler–Lagrange systems (ELSs) with model uncertainties and actuator faults. Compared with traditional finite-time and fixed-time studies, the system output tracking error under the proposed predefined-time controller converges to a small neighborhood of zero in finite time, whose upper bound is exactly a design parameter in the control algorithm. For the uncertain model, radial-based function neural network (RBFNN) is utilized to approximate the continuous uncertain dynamics. To deal with the actuator faults, an adaptive control law is involved in the fault-tolerant controller. In order to achieve the predefined-time bounded, a novel predefined-time sliding mode surface is designed. It is proved that the tracking error vector trajectory of closed-loop system is semi-globally uniformly ultimately predefined-time bounded, and the upper bounds of both the system settling time and the corresponding output tracking error can be adjusted with a simple parameter. Simulation examples finally demonstrate the effectiveness of the proposed control algorithm.     

一类带有加速度约束的非线性系统最优滑模控制

针对加速度受约束的非线性时变系统,设计了一种全局最优滑模控制算法.首先引入全程滑态因子,保证滑模面一开始就在零值附近,然后选取位置跟踪误差绝对值的积分为指标函数,通过求解该指标函数的最小值来确定滑模面方程的相关参数,最后设计了基于指数趋近律的滑模控制算法.仿真结果表明了该方法的有效性和强鲁棒性.     

无刷直流电动机积分反演模糊滑模控制

针对普通的无刷直流电动机控制策略受电动机本身因素影响,难以达到理想效果的问题,介绍了一种积分反演自适应滑模变结构控制和模糊控制相结合的控制器。该控制器在滑模面中加入积分项,实现了对速度信号的无静差跟踪,提高了系统的稳态精度;用模糊控制器来解决切换控制增益设定只能靠经验的问题;采用模糊控制算法对不确定性进行估计,有效地减小了滑模控制方法带来的抖振;为了进一步提高控制性能,重新设计了趋近律。仿真结果表明,该控制器能够大幅提升无刷直流电动机控制系统的性能。     

Augmented Sliding Mode Control for Flexible Link Manipulators

A method of sliding mode control (SMC) is proposed for the control of flexible, nonlinear, and structural systems. The method departs from standard sliding mode control by dispensing with generalized accelerations during the control law design. Global, asymptotic stability of rigid body motion is maintained if knowledge on the bounds of the neglected terms exists. Furthermore, this method provides damping for the measured flexible body modes. This paper investigates an augmented SMC technique for slewing flexible manipulators. A conventional sliding surface uses a first order system including a combination of error and error rate terms. The augmented sliding surface includes an enhanced term that helps to reject flexible degrees-of-freedom. The algorithms are theoretically developed and experimentally tested on a slewing single flexible link robot. The test apparatus is instrumented with a strain gauge at the root and an accelerometer attached at the tip. A DC motor and encoder are used to servo the link from an initial position to a final position. A standard cubic polynomial is employed to generate the reference trajectories. The augmented SMC algorithm showed improved performance by reducing the flexible link tip oscillations.     

基于super-twisting算法的多航天器姿态有限时间分布式协同控制

针对受外界干扰和执行器故障影响的多航天器姿态协同控制问题,本文设计了一种基于干扰观测器的分布式协同supper-twisting滑模控制器.首先,将各航天器的外界干扰和执行器故障看作一个集总干扰,设计自适应滑模干扰观测器对其进行估计.其次,将supper-twisting算法和积分滑模面相结合,设计一种基于多航天器姿态...     

基于滑模预测控制的海底采矿车轨迹跟踪算法

海底采矿车多工作于稀软底质,其面临的外部扰动较大,难以快速收敛跟踪误差,精准地跟踪预设轨迹。为此,本文提出了一种海底采矿车的滑模预测控制（sliding model predictive control,SMPC）轨迹跟踪算法。基于海底采矿车的运动学模型,首先设计滑模控制率实现轨迹跟踪误差快速收敛,其次利用少预测时域的线性时变模型预测控制算法（linear time varying model predictive control,LTV-MPC）优化该滑模控制率。而后,通过证明滑模控制率收敛和模型预测控制稳定,保证了闭环控制系统的稳定性。RecurDyn&Simulink联合仿真结果表明,与单一的滑模控制（sliding mode control,SMC）和线性时变模型预测控制算法相比,所提出的SMPC轨迹跟踪算法提高了轨迹跟踪精度,且算法具有较好的实时性。     

基于滑模变结构控制的RBF神经元网络

针对高精度飞行仿真转台,设计一种基于滑模变结构控制的RBF神经元网络控制器。该控制器根据滑模变结构控制器的特点,将控制律分为等效控制律和到达控制律。等效控制律使系统运动于滑模面附近,由RBFN拟合而成,权值用自适应算法在线修正,确保了实时控制的可能性;到达控制律可使处于状态空间内任意初始位置的系统趋近于滑模面,由滑模控制器的可达性条件推出,其中用到了系统的不确定性参数的上下界。计算机仿真结果表明了该方法的鲁棒性和实际应用的可能性。     

基于量子遗传算法的模糊滑模控制

针对一类具有不确定性的非线性系统,提出了一种新的基于量子遗传算法的模糊滑模控制器的设计方法.将模糊控制与滑模控制相结合,利用滑模控制使系统跟踪误差进入边界层内;启用模糊控制替代切换控制,并在边界层上通过监督函数平滑控制作用.在滑动模态产生条件下,通过量子遗传算法优化模糊控制器的控制规则,有效地解决了模糊滑模控制中模糊控制规则的确定问题,从而削弱了系统的抖振,改善了控制器的控制性能.仿真结果表明了该方法的有效性.     

Hierarchical control for cornering stability of dual-motor RWD vehicles with electronic differential system using PSO optimized SOSMC method

This paper proposes a novel control scheme with a three-layer hierarchical structure to improve the cornering stability of the dual-motor rear-wheel drive (RWD) vehicles with the electronic differential system (EDS). The proposed hierarchical structure for the control system includes the observing layer, control layer, and actuation layer. In the observing layer, the driver model is designed to obtain the nominal steering angle, and the state observer is designed to obtain the yaw angle which cannot be easily measured. Then, particle swarm optimization (PSO) and second order sliding mode control (SOSMC) are employed in the control layer. The SOSMC part is used to design the control law to eliminate the chattering problem in the sliding mode algorithm, and the PSO part is used to obtain the optimal weights in the sliding mode surface to meet the minimum sideslip angle error and yaw rate error. The actuation layer allocates the corrected yaw moment by distributing the driving force to each independent driving wheel. Finally, the numerical tests are carried out under the double line change (DLC) maneuver. The results show that the proposed control system can effectively improve the cornering stability of the dual-motor RWD vehicles and reduce their motor power consumption.     

模糊-滑模控制在着舰导引系统中的应用

舰尾气流扰动是影响舰载机着舰误差的主要因素之一,为提高着舰精度,消除舰尾气流扰动对着舰安全的影响,提出了运用模糊-滑模控制抑制舰尾气流的扰动。滑模控制系统在滑动模态时对系统的不确定性及外界干扰具有很强的鲁棒性,运用模糊控制理论建立了随系统状态变化的时变滑模面,所设计的模糊-滑模控制系统可以较早达到滑动模态,并最后进入预定滑模面,使其同时具有良好的动态特性和抗干扰能力。纵向自动着舰导引系统的仿真实例验证了其有效性。     

充液航天器的鲁棒固定时间终端滑模容错控制

本文以三轴稳定充液航天器为研究背景,在其进行姿态机动控制过程中充分考虑了外部未知干扰、参数不确定、执行器故障和控制输入饱和等因素的影响,提出了一种固定时间终端滑模控制策略.动力学建模过程中,利用粘性球摆等效力学模型模拟液体燃料小幅晃动,通过拉格朗日方程推导出航天器的耦合动力学模型.姿态控制器设计过程中,首先构造固定时间...     

双积分器的有限时间积分滑模设计及应用

针对带有加性扰动的双积分器,本文结合嵌套饱和控制与积分滑模控制原理,设计一种带分数指数项的积分滑模面.运用Haimo有限时间稳定原理,证明了所设计的积分滑模不会产生奇异性.相应的控制设计由两部分组成:理想控制和不连续控制,可实现滑模面上动态的有限时间稳定,并消除加性扰动的影响.用直流电机角速度控制系统作为例子,说明了算法的有效性.     

基于自适应全局滑模控制的非线性主动队列管理

针对传输控制协议(TCP)网络系统存在不确定参数和非响应流干扰的情况,基于自适应全局滑模控制,设计一种非线性主动队列管理算法.采用全局滑模控制消除了滑模控制的到达阶段,保证了网络系统在整个控制过程的鲁棒性.采用径向基函数(RBF)网络直接逼近系统的总不确定可有效地减小估计误差.由于没有使用符号函数或饱和函数,不仅可以有效抑制系统的抖振,而且系统的响应更加平稳.仿真结果表明,该算法具有较好的鲁棒性和较快的系统响应.     

饱和输入下四旋翼无人机滑模轨迹跟踪控制

为解决四旋翼无人机在饱和输入下的轨迹跟踪控制问题,同时兼顾系统存在的参数不确定性和外部风力扰动影响,设计了一种改进的抗干扰自适应鲁棒滑模控制方法;基于六自由度架构,设计四旋翼无人机简化的系统模型,进而降低控制器设计的复杂程度;引入带有误差信号的滑模函数,设计带有误差信号的饱和补偿自适应控制律,同时增加鲁棒控制项,降低由于饱和输入问题带来的抖振影响,并减小参数不确定和外部风力扰动对系统稳定性的影响;系统模型与抗干扰自适应控制律相结合,形成了改进的抗干扰自适应鲁棒滑模控制策略,实现四旋翼无人机的位置轨迹和姿态轨迹的稳定跟踪;最后通过数值仿真与传统PD控制算法进行仿真比较,验证控制方法的有效性和优越性。     

变增益分段滑模控制的PMSM位置伺服系统研究

滑模增益的选择直接影响系统抖振,利用位置信号误差、滑模面积分与滑模增益之间的非线性关系来设计滑模增益,再结合等效控制方法来削弱滑模抖振改善系统的鲁棒性。将单段滑模线控制扩展成在不同阶段PI与滑模分别起作用的两段控制方法应用于永磁同步电机位置控制。应用Matlab/Simulink建立了永磁同步电动机伺服系统的仿真模型,仿真结果表明该方案对系统参数不确定、外界扰动具有强鲁棒性。系统动静态品质优良,滑模控制的抖振得到明显抑制。     

Particle swarm optimization for time-optimal control design

In this paper,a particle swarm optimization(PSO)based method is proposed to obtain the time-optimal bang-bang control law for both linear and nonlinear systems.By introducing a penalty function,the method can be modified to deal with systems with constraints.Compared with existing computational methods,the proposed method can be implemented in a straightforward manner.The convergent solutions can be achieved by selecting suitable PSO parameters regardless of the initial guess of the switching times.A double integrator and a third-order nonlinear system are used to demonstrate the effectiveness and robustness of the proposed method.The method is applied to obtain the time-optimal control law for a high performance linear motion positioning system.The results show the practicality of the proposed algorithm.     

A new improved continuous variable structure controller for accurately prescribed tracking control of BLDD servo motors

A new improved robust variable structure controller is presented to provide an accurately prescribed tracking performance for brushless direct drive (BLDD) servo motors (SM) under uncertainties and load variations. A special integral sliding surface suggested for removing the reaching phase problems can define its ideal sliding mode and virtual ideal sliding trajectory from an initial position of SM. The tracking error caused by the nonzero value of the sliding surface is derived. A corresponding continuous control input with the disturbance observer is suggested to track a predetermined virtual ideal sliding trajectory within a prescribed value under all the uncertainties and load variations. The usefulness of the proposed algorithm is demonstrated through the comparative simulations for a BLDD SM under load variations.