A novel adaptive sliding mode control with application to MEMS gyroscope

This paper presents a new adaptive sliding mode controller for MEMS gyroscope; an adaptive tracking controller with a proportional and integral sliding surface is proposed. The adaptive sliding mode control algorithm can estimate the angular velocity and the damping and stiffness coefficients in real time. A proportional and integral sliding surface, instead of a conventional sliding surface is adopted. An adaptive sliding mode controller that incorporates both matched and unmatched uncertainties and disturbances is derived and the stability of the closed-loop system is established. The numerical simulation is presented to verify the effectiveness of the proposed control scheme. It is shown that the proposed adaptive sliding mode control scheme offers several advantages such as the consistent estimation of gyroscope parameters including angular velocity and large robustness to parameter variations and external disturbances.     

滑模控制在电液伺服力控系统中的应用与研究

针对电液伺服力控系统存在的非线性,导致系统在运动时引起多余力的问题,提出了采用滑模变结构的控制方案。通过对PID和滑模变结构控制在无扰动和有扰动情况下的仿真曲线对比,可以明显看出滑模控制明显优于PID控制。     

基于干扰观测器的时滞非线性切换系统滑模控制方法

为实现更加精准的时滞非线性切换系统滑模控制,应用干扰观测器设计一种新的系统滑模控制方法。构建时滞非线性切换系统模型,针对系统在发生结构变化时会产生复合干扰变化的情况,设计了一种非线性切换干扰观测器,实施系统不连续干扰的估计。通过 Backstepping 方法结合干扰观测器,设计一种切换滑模控制器,依据标量非线性特性打造一个滑模面,通过滑模控制器算法使时滞非线性切换系统能够满足滑模面的实际可达性条件,完成切换滑模控制器设计,实现系统的滑模控制。对设计的滑模控制方法进行测试,实验中选择的时滞非线性切换系统为一种变后掠翼 NSV 。实验结果表明,该设计方法能够实现较为准确地切入信号跟踪,表现出了很好的切换复合干扰估计性能。     

液压电梯速度系统离散滑模变结构控制的研究

本文提出了一种离散鲁棒滑膜变结构控制方法。该方法包括两部分：带有积分控制作用的滑模控制和减少模型误差的鲁棒控制。该方法可以使控制系统跟踪任意或阶跃输入的稳态误差趋向于零。文中还导出了离散系统滑膜存在的条件,积分控制增益以及滑膜系数的确定方法。并将该方法用于液压电梯轿厢速度控制系统,仿真和实验结果表明：该方法在减小电梯的速度跟踪误差和提高电梯的平层精度上明显优于传统的ＰＩＤ控制。     

Sliding mode control with PID sliding surface and experimental application to an electromechanical plant

In this study, a sliding mode control system with a proportional+integral+derivative (PID) sliding surface is adopted to control the speed of an electromechanical plant. A robust sliding mode controller is derived so that the actual trajectory tracks the desired trajectory despite uncertainty, nonlinear dynamics, and external disturbances. The proposed sliding mode controller is chosen to ensure the stability of overall dynamics during the reaching phase and sliding phase. The stability of the system is guaranteed in the sense of the Lyapunov stability theorem. The chattering problem is overcome using a hyperbolic function for the sliding surface. Experimental results that are compared with the results of conventional PID verify that the proposed sliding mode controller can achieve favorable tracking performance, and it is robust with regard to uncertainties and disturbances.     

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.     

Model-free adaptive integral terminal sliding mode predictive control for a class of discrete-time nonlinear systems

In this paper, a new model-free adaptive digital integral terminal sliding mode predictive control scheme is proposed for a class of nonlinear discrete-time systems with disturbances. The characteristic of the proposed control approach is easy to be implemented because it merely adopts the input and output data model of the system based on compact form dynamic linearization (CFDL) data-driven technique, while the technique of perturbation estimation is applied to estimate the disturbance term of the system. Moreover, by means of combining model predictive control and CFDL digital integral terminal sliding mode control (CFDL-DITSMC), the CFDL digital integral terminal sliding mode predictive control (CFDL-DITSMPC) method is proposed, which can further improve the tracking accuracy and disturbance rejection performance in comparison with the CFDL model-free adaptive control, neural network quasi-sliding mode control and the CFDL-DITSMC scheme. Meanwhile, the stability of the proposed approach is guaranteed by theoretical analysis, and the effectiveness of the proposed method is also illustrated by numerical simulations and the experiment on the two-tank water level control system.     

基于级联滑模控制的高精度光电跟踪与捕获

为了进一步提高光电跟踪系统的目标捕获和跟踪性能,提出了一种基于变增益趋近律的级联滑模控制方法。基于反双曲正弦函数和幂次项设计了新型变增益滑模趋近律,在提高滑模面趋近速度的同时抑制滑模抖振现象;基于变增益滑模趋近律设计速度环和位置环滑模控制器构成级联滑模控制,以提高系统的动态响应性能和鲁棒性,提高系统对目标的捕获能力和跟踪精度。最后,以某球形光电跟踪系统的方位轴作为控制对象,进行了传统级联PI控制和级联滑模控制方法的对比分析。实验结果表明,相比于传统级联PI控制,捕获速度为1(°)/s的目标时,级联滑模控制可以将目标捕获时间减小32%;跟踪等效最大速度为4(°)/s和最大加速度为2(°)/s 2的正弦引导信号,可将跟踪误差RMS值减小31%,采用级联滑模控制可有效提高跟踪系统的控制性能。     

An enhanced tracking control of marine surface vessels based on adaptive integral sliding mode control and disturbance observer

In this paper, a new control methodology is developed to enhance the tracking performance of fully actuated surface vessels based on an integrating between an adaptive integral sliding mode control (AISMC) and a disturbance observer (DO). First, an integral sliding mode control (ISMC), in which the backstepping control technique is used as the nominal controller, is designed for the system. The major features, i.e., benefits and drawbacks, of the ISMC are discussed thoroughly. Then, to enhance the tracking performance of the system, an adaptive technique and a new disturbance observer based on sliding mode technique are developed and integrated into the ISMC. The stability of the closed-loop system is proved based on Lyapunov criteria. Computer simulation is performed to illustrate the tracking performance of the proposed controller and compare with the existing controllers for the tracking control of a surface vessel. The simulation results demonstrate the superior performance of the proposed strategy.     

Finite time control for MIMO nonlinear system based on higher-order sliding mode

Considering a class of MIMO uncertain nonlinear system, a novel finite time stable control algorithm is proposed based on higher-order sliding mode concept. The higher-order sliding mode control problem of MIMO nonlinear system is firstly transformed into finite time stability problem of multivariable system. Then continuous control law, which can guarantee finite time stabilization of nominal integral chain system, is employed. The second-order sliding mode is used to overcome the system uncertainties. High frequency chattering phenomenon of sliding mode is greatly weakened, and the arbitrarily fast convergence is reached. The finite time stability is proved based on the quadratic form Lyapunov function. Examples concerning the triple integral chain system with uncertainty and the hovercraft trajectory tracking are simulated respectively to verify the effectiveness and the robustness of the proposed algorithm.     

An Integral Sliding Model Tracking Strategy for 3D Laser Beam Position Control

This paper discusses how to improve the tracking precision of a laser beam positioning system by using a new sliding model tracking strategy. A continuous strategy of integral sliding mode control is proposed in order to achieve high-accuracy and high robustness of position tracking control. Modelling deviation and unmeasurable external disturbance is compen-sated for by an integral action term. This scheme can solve the chattering problem without loss of robustness and controaccuracy. The simulation and experimental results show that a laser beam position control system with the integrated sliding mode control (ISMC) has higher robustness, higher global stability, higher tracking precision, and speed than a traditional controller.     

挖掘机器人伺服系统神经网络滑模控制

挖掘机器人伺服系统存在高度非线性、参数不确定和未建模动态等诸多不利因素,提出了一种结合径向基函数(RBF)神经网络的非线性滑模控制器,以提高控制精度和鲁棒性。首先,建立了单联伺服系统的数学模型;其次,采用RBF神经网络对系统的不利因素进行逼近,提出积分滑模面进一步减小稳态误差,同时减少对伺服系统参数的依赖,在此基础上,设计了基于RBF神经网络的滑模控制器(SMC-RBF),利用Lyapunov理论证明了系统的渐近稳定性;最后,通过不同的参考信号和整平实验验证了控制器的优越性。仿真结果表明,SMC-RBF控制器响应快,跟踪精度高且鲁棒性强,与PID控制器相比正弦轨迹跟踪精度提高了46%。整平实验结果表明,铲斗末端轨迹跟踪精度提高了52%。     

滑模变结构控制方法在混合输入平面五杆机构中的应用和稳定性分析

混合输入平面五杆机构具有两个自由度,其动力学模型是一个高度非线性和强耦合系统。基于李亚普诺夫函数、利用滑模变结构控制理论(slid ing mode control)设计了控制器,并对系统进行了控制仿真。仿真结果表明,在不改变机构结构和进行质量重布的情况下,就可以实现较高精度的轨迹跟踪。理论分析证明,所设计的滑模变结构控制器是全局稳定的。     

永磁同步电机位置伺服系统改进变结构自抗扰控制

为进一步提高传统变结构自抗扰控制器的控制精度,增强永磁伺服驱动系统的抗干扰能力,提出一种改进变结构自抗扰控制策略。该方法在基于变结构原理设计的扩张状态观测器中引入位置、速度的观测误差以实现状态变量的无差估计,采用基于指数趋近律设计的非线性状态误差反馈控制律实现线性控制与非线性控制的平滑过渡,并在此基础上引入位置跟踪误差,提高伺服系统的跟踪性能。通过实验分析比较了改进变结构自抗扰控制与传统变结构自抗扰控制两种控制策略,结果显示改进控制策略较传统控制策略的位置跟踪误差减少了约30%。当负载突变时,传统控制策略的跟踪误差约为负载突变前最大跟踪误差的3.4倍,而改进变结构自抗扰控制策略仍能准确跟踪给定信号。     

基于矢量控制的BLDCM新型滑模控制器

针对反电动势为正弦波的直流无刷电机控制效率问题,研究了其控制方式,采用了矢量控制方法代替传统的方波控制,以提高电机运行效率,设计了一种新的指数趋近律积分型滑模控制器(sliding mode control,SMC),提高了直流无刷电机控制系统的抗干扰性及速度跟踪性。在滑模控制中引入新的趋近律可有效地抑制抖振问题,提高了滑模面的趋近速度,同时使得系统的超调得到显著的降低。采用了边界层可变的正弦饱和函数替代开关函数进一步削弱抖振,并对其进行了理论分析。最后根据所设计的控制方式通过Simulink进行了仿真验证。研究结果表明,所设计的速度控制器较传统的滑模控制器及积分型滑模控制器具有更好的抑制抖振和速度跟踪性能。     

一种并网逆变器的新型复合控制设计

针对并网逆变器在瞬态能量回馈中快速性和抗干扰性的要求,提出了一种新型的复合控制方法。该方法融合了重复控制和滑模变结构控制的优点,利用重复控制优化了等效控制的跟踪特性,有效抑制了并网电流谐波,加快了系统动态响应速度,提高了系统抗干扰性能。仿真和实验结果表明,系统稳态并网电流5次谐波畸变率可控制在1.5%,网侧功率因数接近于1,动态电流响应速度快,有效抑制了能量变化对直流母线电压的影响,从而证明了所提出复合控制方法的有效性。     

欠驱动机械臂滑模控制与实验研究*

针对非线性、强耦合的欠驱动两杆机械臂Pendubot,提出了一种在倒立不稳定平衡点邻域内局部线性化的基于Hurwitz稳定判据的滑模控制方法。首先定义一个分别由主动臂和欠驱动臂的角位置、角速度跟踪误差的线性组合滑模面。通过Lyapunov稳定性分析保证了系统的所有状态能够到达滑模面并保持在滑模面上,根据滑模面条件,降低原系统的阶数,再令降阶系统满足Hurwitz稳定判据,从而原系统渐进稳定,其所有状态变量最终收敛于平衡点,同时得到滑模面参数。仿真和实验结果表明,所设计的控制方法易于实现,能够抵抗一定的外界干扰,对模型的参数摄动不敏感、鲁棒性强。     

并联机器人轨迹跟踪离散变结构鲁棒控制器设计

本文根据并联机器人支撑杆教学模型参数摄动较大和时变的特点,设计了一种用于并联机器人轨迹跟踪的离散滑模变结构鲁棒控制器,通过引入变速趋近律,控制系统响应速度快,对参数摄动和外界干扰具有较强的鲁棒性,仿真研究结果表明,本文的控制方案能实现较高精度的快速轨迹跟踪,同时可削弱或避免通常变结构控制中不可避免的抖振。     

基于Terminal的船舶动力定位系统控制器设计

滑模变结构控制是一种特殊的非线性控制,它具有快速响应、实现简单、对扰动不灵敏、无需在线辨识等优点。船舶动力定位系统属于不确定、非线性的系统,本文对一船舶动力定位系统的数学模型进行了Terminal滑模控制器设计、通过Matlab中的Simulink进行仿真,仿真的结果验证了滑模变结构控制对船舶动力定位系统控制的有效性。     

基于模糊幂次趋近律的漂浮基空间机器人快速滑模控制

针对空间机械臂轨迹跟踪控制过程中的抖振抑制问题,讨论了一种基于模糊幂次趋近律的快速滑模变结构控制方法。首先运用拉格朗日第二类方程,建立了空间机械臂系统的动力学模型。然后对机械臂的传统滑模面进行改进,设计了一种快速非线性滑模面。利用模糊控制理论,设计了一种模糊幂次趋近律,使机械臂抖振抑制的效果明显,同时也保证了系统的轨迹跟踪控制效果。通过Lyapunov稳定性分析定理,验证了系统的稳定性和收敛性。最后用仿真实验结果证明了所设计控制方法的有效性和可行性。