Adaptive sliding mode control for fuzzy singular systems with time delay and input nonlinearity

This paper addresses the sliding mode control problem for a class of uncertain Takagi‐Sugeno fuzzy singular systems with state delay and subject to input nonlinearity. Our purpose is focused on designing an adaptive sliding mode controller for such a complex system. First, a new fuzzy integral‐type sliding function is designed. Then, an adaptive sliding mode control scheme is established such that the resulting closed‐loop system is insensitive to all admissible uncertainties and satisfies the reaching condition. Moreover, delay‐dependent sufficient conditions are derived such that the admissibility and the L₂‐L_∞ performance requirement of the sliding mode dynamics can be guaranteed in the presence of time delays, external disturbances, and sector nonlinearity input. Finally, the validity and applicability of the proposed theory are illustrated by a numerical example.     

Sliding mode disturbance observer‐based adaptive control for uncertain MIMO nonlinear systems with dead‐zone

In this paper, an adaptive integral sliding mode control (ISMC) scheme is developed for a class of uncertain multi‐input and multi‐output nonlinear systems with unknown external disturbance, system uncertainty, and dead‐zone. The research is motivated by the fact that the ISMC scheme against unknown external disturbance and system uncertainty is very important for multi‐input and multi‐output nonlinear systems. The system uncertainty, the unknown external disturbance, and the effect of dead‐zone are integrated as a compounded disturbance, which is well estimated using a sliding mode disturbance observer (SMDO). Then, the adaptive ISMC based on the designed SMDO is presented to guarantee the satisfactory tracking performance in the presence of system uncertainty, external disturbance, and dead‐zone. Finally, the designed adaptive ISMC strategy based on SMDO is applied to the attitude control of the near space vehicle, and simulation results are presented to illustrate the effectiveness of the proposed adaptive ISMC scheme using the SMDO. Copyright © 2016 John Wiley & Sons, Ltd.     

基于全局滑模时滞的电力系统混沌振荡控制

电力系统易受扰动影响,在一定扰动条件下会进入混沌状态。通过分岔图和李雅普诺夫指数谱分析了扰动Pe与Pk单独作用与共同作用时对电力系统的影响,当Pe与Pk单独作用时,系统状态均随着扰动的增加由周期态过渡到混沌态,当Pe与Pk共同作用时,系统状态均随着扰动的增加由混沌态过渡到周期态再过渡到混沌态。设计了一种全局滑模时滞控制策略,时滞控制采用延时反馈环节,即误差信号中采用上个采样周期的采样值与此时的采样值来对不确定系统项与扰动项进行估计,但由于延时环节存在时滞误差,导致系统收敛速度较慢且扰动抑制能力较差。为此,将时滞控制与全局滑模控制相结合,并设计具有快速收敛特性的时滞补偿项,提高系统收敛速度与抗扰动能力,并且可以抑制上界未知的外部扰动。仿真结果表明,相较于时滞控制,所设计的全局滑模时滞控制收敛速度更快,超调量更小,在系统遭受周期扰动与阶跃扰动时仍能保证收敛。     

交直流联合输电系统中HVDC的自适应全局快速Terminal滑模控制

为了提高阻尼系数未知的交直流联合输电系统的运行稳定性,对系统未知参数进行动态估计,同时考虑到自适应backstepping滑模控制器的不足,采用自适应全局Terminal滑模控制方法,设计了一种新型直流输电系统的非线性附加控制器。该方法通过快速调节直流输电线路的输送功率,实现对整个系统稳定性的调节;综合线性滑动模态与非线性滑动模态的优点,使失稳系统能够快速、精确地收敛至平衡状态;考虑系统受具有未知上界的不确定小扰动及三相短路大扰动的影响,分别对干扰未知上界及系统未知参数进行实时动态估计。通过与自适应backstepping滑模控制器进行数值仿真对比,结果表明,该控制器具有更小的超调量,更短的控制响应时间,更准确的未知参数估计性能和更强的鲁棒性,能够更有效地提高系统的稳定性。     

PWM整流器的模糊滑模变结构控制

结合滑模变结构控制与模糊控制两者的优点,提出了PWM整流器的模糊滑模变结构新型复合控制方案,使PWM整流器既具有变结构控制的良好鲁棒性,又能最大限度的减小抖振。文章给出了PWM整流器的数学模型,分析了PWM整流器的空间矢量脉宽调制的实现方法,着重探讨了模糊滑模变结构控制器的设计。实验结果表明,系统能保证有很高的功率因数和输入电流较好的正弦度;能适应负载的扰动和非线性变化;具有良好的动静态性能。     

Adaptive controller design and disturbance attenuation for SISO linear systems with zero relative degree under noisy output measurements

In this paper, we present robust adaptive controller design for SISO linear systems with zero relative degree under noisy output measurements. We formulate the robust adaptive control problem as a nonlinear H^∞‐optimal control problem under imperfect state measurements, and then solve it using game theory. By using the a priori knowledge of the parameter vector, we apply a soft projection algorithm, which guarantees the robustness property of the closed‐loop system without any persistency of excitation assumption of the reference signal. Owing to our formulation in state space, we allow the true system to be uncontrollable, as long as the uncontrollable part is stable in the sense of Lyapunov, and the uncontrollable modes on the jω‐axis are uncontrollable from the exogenous disturbance input. This assumption allows the adaptive controller to asymptotically cancel out, at the output, the effect of exogenous sinusoidal disturbance inputs with unknown magnitude, phase, and frequency. These strong robustness properties are illustrated by a numerical example. Copyright © 2009 John Wiley & Sons, Ltd.     

永磁同步电动机的无抖振滑模控制系统设计

针对永磁同步电动机位置伺服系统,基于同步旋转坐标系下永磁同步电动机精确的数学模型,利用矢量控制技术,设计了位置/电流双闭环解耦控制结构,以实现转矩线性化控制,简化控制器设计.结合高阶滑模和非奇异终端滑模的控制思想,利用鲁棒微分估计器技术,分别提出了位置环和电流环的高阶非奇异终端滑模控制方案,在保证控制系统全局非奇异和稳定性情况下,可消除控制信号的高频抖振,提高系统的动态响应速度和控制精度,实现系统强无抖振的滑模控制.提出一种自适应负载转矩估计方法,解决了未知负载扰动系统的鲁棒控制问题.仿真结果证明所提控制方法的有效性和可行性.     

基于自适应模糊滑模控制的机器人轨迹跟踪算法

针对控制参数的不确定性以及存在未知外部扰动情况下移动机器人的轨迹跟踪问题,提出一种基于光滑非线性饱和函数的自适应模糊滑模轨迹跟踪控制算法。通过建立不确定非线性移动机器人运动控制模型,利用自适应模糊逻辑系统构建自适应模糊滑模控制器。为了增强轨迹跟踪控制算法对随机不确定外部扰动适应能力的同时削弱滑模控制算法中的输入抖振现象,利用有界输入有界输出(BIBO)稳定的方法,通过带有自适应调节算法的模糊系统对滑模控制律中非线性函数项进行自适应逼近,并设计了模糊系统中可调参数的自适应控制律,保证了控制系统的稳定与收敛。实验结果表明,所设计的控制器对系统参数不确定性和外界扰动均具有较强的轨迹跟踪性能和鲁棒性。与传统的滑模控制算法相比,该算法不仅能有效减小输入抖振而且轨迹跟踪控制精度提高了18.89%。     

基于LMI的永磁同步电机鲁棒H∞自补偿滑模控制

针对传统矢量控制方案由滑模增益选择保守造成抗负载扰动与参数摄动等不确定因素的鲁棒性差的问题,设计了基于线性矩阵不等式(LMI)的鲁棒H_∞滑模速度控制器和电流控制器。在速度控制器设计中,将求解H_∞状态反馈控制器增益问题转化为求解具有约束条件的LMI问题,从而求出H_∞状态反馈控制器增益,构成滑模面。在此基础上,设计出基于范数有界的滑模控制律,使系统状态可以实现有限时间内到达所需滑模面。在电流控制器设计中,同理设计出滑模面与滑模控制律,对于滑模控制律中的复合项采用自适应方式进行估计,消除了滑模开关增益选择的保守性。仿真与实验验证了所提控制策略的有效性。     

基于平坦理论的直流微电网双向DC-DC变换器改进滑模自抗扰控制

针对直流微电网系统中分布式电源功率波动、负载频繁投切以及不确定性扰动造成的母线电压波动问题,以直流微电网储能单元双向DC-DC变换器为研究对象,提出了一种基于平坦理论的改进滑模自抗扰控制策略。该方法采用双闭环控制结构,其中,电流内环采用微分平坦控制,提高系统的动态响应速度。在考虑系统抗扰性能和高频噪声影响的基础上,利用增阶滤波扩张状态观测器对外环模型总扰动进行估计。并根据状态量和扰动量估计信息设计了电压外环改进滑模自抗扰控制器,进一步提升系统的鲁棒性能。最后利用Matlab/Simulink软件进行仿真,验证了所提控制策略的有效性及优越性。     

Adaptive fuzzy sliding mode control of Lorenz chaotic system

By using the exponential reaching law technology, a sliding mode controller was designed for Lorenz chaotic system subject to an unknown external disturbance. On this basis, considering the unknown disturbance, an adaptive law was introduced to adaptively estimate the parameters of the disturbance bounds. Furthermore, to eliminate the chattering resulting from the discontinuous switch controller and to guarantee system transient performance, a new adaptive fuzzy sliding mode controller was designed. The results of the simulation show the effectiveness of the proposed control scheme. Translated from Journal of Harbin Institute of Technology, 2006, 38(4): 499–502 [译自: 哈尔滨工业大学学报]     

轨迹跟踪伺服系统的鲁棒复合控制

针对控制输入饱和受限且带有未知扰动的电机伺服系统,提出一种实现曲线轨迹准确跟踪的鲁棒复合控制方案。该方案引入一个参考信号生成器和一个扩展状态观测器,其中参考信号生成器可根据目标轨迹信号构造出对应的状态量,扩展状态观测器用于对系统的状态量和扰动进行估计,采用反馈与前馈相结合构成最终的控制律。利用Lyapunov理论对闭环系统的稳定性进行了严格分析。在MATLAB中进行了仿真研究,随后在一个DSP控制的永磁直线电机二维伺服平台进行了试验验证。结果表明:所提的控制方案能在轨迹跟踪任务中取得优越的瞬态性能和稳态准确性,而且对目标轨迹和扰动的幅值差异具有较好的鲁棒性。     

无刷直流电动机滑模变结构控制器的设计和系统仿真

介绍了无刷直流电动机驱动装置滑模变结构控制的原理和设计方法,通过数字仿真表明;滑模变结构控制器具有健全的控制性能,它对负载时参数的变化以及外界干优的影响并不敏感,系统的状态将按预定路径变化,因而控制系统具有高稳定性、高精度、坚固性和快速响应等优点.     

永磁直线同步电机自适应互补滑模控制

针对永磁直线同步电机(PMLSM)易受非线性因素影响而降低伺服系统鲁棒性的问题,提出一种自适应互补滑模控制方法。永磁直线同步电机的非线性因素包括系统参数变化、电机端部效应及外部不确定性的扰动。互补滑模控制将积分滑模面与广义误差滑模面相结合,将系统状态轨迹限定在两个面的交线上,缩短了状态轨迹达到滑模面的时间,提高了位置跟踪精度。为了进一步改善系统鲁棒跟踪性能,利用自适应控制对不确定扰动因素的上界进行估计,减小不确定因素对系统的影响,改善滑模控制的抖振现象。实验结果表明所提出的控制方法是有效可行的,自适应互补滑模控制不仅提高了系统的跟踪性能,而且更有效地抑制了不确定因素对控制系统的影响。     

Neural network–based direct adaptive robust control of unknown MIMO nonlinear systems using state observer

This paper focuses on the problem of adaptive robust tracking control for a class of uncertain multiple-input and multiple-output (MIMO) nonlinear system. Unlike most previous research studies, model dynamics, disturbances, and state variables are unknown in this paper. A novel observer-based direct adaptive neuro-sliding mode control approach is proposed of which the only required knowledge is the system output. By incorporating the Adaptive Linear Neuron (ADALINE) neural network (NN) into the conventional sliding mode observer, the proposed observer has favorable performance. In the controller, a radial basis function (RBF) NN is constructed to approximate the unknown equivalent control laws and the estimation of the sliding surface is applied as the input. A gain-adaptation sliding mode term is designed to enhance the robustness of the control system. Besides, the free parameters of the ADALINE NN and the RBFNN are updated online by adaptive laws to obtain optimal approximation performance. Finally, the comparative simulations are given to show the effectiveness and merits of proposed scheme.     

H∞滑模鲁棒励磁控制器设计

电力系统的鲁棒励磁控制模型具有非线性和不确定性等特点。并且，其不确定不性满足匹配条件。该文结合反馈线性化、H∞干扰抑制和滑模变结构控制，利用反馈线性化技术，将鲁棒励磁控制模型转化为线性不确定模型；利用H∞干扰抑制技术，获得了具有抑制满足匹配条件干扰能力的动脉滑动模态；利用滑模变结构控制，获得了具有完全抑制满足匹配条件干扰的控制律。并设计了H∞滑模鲁棒励磁控制器。仿真结果表明：文中所设计的控制器能够有效地稳定电力系统。     

基于滑模自抗扰的永磁同步电机电流环控制方法研究

为了提高永磁同步电机控制系统的稳定性，针对滑模控制存在的抖振现象以及系统运行时的扰动问题，给出了一种基于线性滑模自抗扰控制的电流控制器，所谓线性滑模自抗扰控制就是滑模控制与自抗扰控制的结合，其核心为扩张状态观测器，扩张状态观测器可观测系统的状态及扰动并对扰动进行补偿，能有效抑制系统扰动、提高系统的动、静态性能。搭建永磁同步电机滑模自抗扰矢量控制仿真模型，仿真结果表明，与传统滑模控制相比，该方法提高了永磁同步电机控制系统的稳定性，削弱了系统抖振，改善了系统扰动问题。     

Accommodation of unknown actuator faults using output feedback‐based adaptive robust control

In this paper, we solve the problem of output tracking for linear uncertain systems in the presence of unknown actuator failures using discontinuous projection‐based output feedback adaptive robust control (ARC). The faulty actuators are characterized as unknown inputs stuck at unknown values experiencing bounded disturbance and actuators losing effectiveness at unknown instants of time. Many existing techniques to solve this problem use model reference adaptive control (MRAC), which may not be well suited for handling various disturbances and modeling errors inherent to any realistic system model. Robust control‐based fault‐tolerant schemes have guaranteed transient performance and are capable of dealing with modeling errors to certain degrees. But, the steady‐state tracking accuracy of robust controllers, e.g. sliding mode controller, is limited. In comparison, the backstepping‐based output feedback adaptive robust fault‐tolerant control (ARFTC) strategy presented here can effectively deal with such uncertainties and overcome the drawbacks of individual adaptive and robust controls. Comparative simulation studies are performed on a linearized Boeing 747 model, which shows the effectiveness of the proposed scheme. Copyright © 2011 John Wiley & Sons, Ltd.     

机载光电稳定平台模糊滑模自抗扰控制

为提升机载光电稳定平台的视轴稳定精度与鲁棒性，提出了一种模糊非奇异快速终端滑模自抗扰控制策略。首先，采用非奇异快速终端滑模面提升系统状态在滑动阶段的收敛速度。其次，通过设计带模糊校正项的快速幂次趋近律来对抖振进行抑制，模糊逻辑的引入能使控制器参数能根据误差变化自整定，在此基础上，结合线性扩张状态观测器来增强系统的扰动抑制能力。然后，利用Lyapunov方法对系统进行了稳定性分析。最后，在扰动及参数摄动下进行了仿真对比实验，仿真实验结果表明，所提方法相较于另外4种控制算法而言，基于本方法的系统具备更强的鲁棒性。