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.     

Adaptive nonsingular terminal sliding mode control of MEMS gyroscope based on backstepping design

An adaptive nonsingular terminal sliding mode (NTSM) tracking control scheme based on backstepping design is presented for micro‐electro‐mechanical systems (MEMS) vibratory gyroscopes in this paper. The NTSM controller is designed based on backstepping strategy to eliminate the singularity, while ensuring the control system to reach the sliding surface and converge to equilibrium point in a finite period of time from any initial state. In addition, the proposed approach develops an online identifier scheme, which can real‐time estimate the angular velocity and the damping and stiffness coefficients. All adaptive laws in the control system are derived in the same Lyapunov framework, which can guarantee the globally asymptotical stability of the closed‐loop system. Numerical simulations for a MEMS gyroscope are investigated to demonstrate the validity of the proposed control approaches. Copyright © 2014 John Wiley & Sons, Ltd.     

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 control based on adaptive synchronization in a class of fractional‐order chaotic systems

In this paper, a fractional‐order Dadras‐Momeni chaotic system in a class of three‐dimensional autonomous differential equations has been considered. Later, a design technique of adaptive sliding mode disturbance‐observer for synchronization of a fractional‐order Dadras‐Momeni chaotic system with time‐varying disturbances is presented. Applying the Lyapunov stability theory, the suggested control technique fulfils that the states of the fractional‐order master and slave chaotic systems are synchronized hastily. While the upper bounds of disturbances are unknown, an adaptive regulation scheme is advised to estimate them. The recommended disturbance‐observer realizes the convergence of the disturbance approximation error to the origin. Finally, simulation results are presented in one example to demonstrate the efficiency of the offered scheme on the fractional‐order Dadras‐Momeni chaotic system in the existence of external disturbances.     

Active fault‐tolerant control for near space vehicles based on reference model adaptive sliding mode scheme

In this paper, an adaptive sliding mode (ASM) scheme is proposed for fault identification and fault‐tolerant control of near space vehicles (NSVs). First, the attitude dynamic model is introduced, and a baseline controller based on reference sliding mode scheme is designed in the case of no faults. Then fault parameterizations with actuator dynamics is presented for several classes of faults: lock‐in‐place, float, hard‐over, and loss of effectiveness. On the basis of adaptive observer design, fault parameters can be accurately estimated on‐line. Furthermore, an ASM fault‐tolerant controller is designed for both cases of actuator dynamic faults and control effector damage. Finally, simulation experiments show that the proposed ASM scheme is able to quickly and accurately identify faults and reconfigure the controller, resulting in excellent overall system performance. Copyright © 2012 John Wiley & Sons, Ltd.     

同步发电机混沌振荡的积分滑模模糊控制

针对一类不确定的非线性系统,把自适应模糊控制和积分滑模控制相结合,提出了一种新的自适应积分滑模模糊控制策略。利用模糊逻辑逼近系统中的未知非线性函数,在滑模控制中引入了积分项,消除了常规滑模控制器被跟踪信号导数已知的限制;并且为了消除外界扰动的影响,引入扰动估计器的设计方法;同时基于Lyapunov方法导出了参数的自适应律,有效地克服了系统固有的抖振问题。理论分析证明了闭环系统的稳定性和跟踪误差收敛于零。用该控制器对同步发电机混沌振荡控制系统进行仿真研究,结果表明:与常规的滑模控制器相比,该控制器具有较强的鲁棒性和较好的跟踪性能。     

遥控水下机器人多电机协同控制研究

为了提高遥控水下机器人(ROV)多电机系统的同步性能、鲁棒性和动态性能,该文提出一种基于PID速度补偿器的偏差耦合控制结构和一种新型多模态非奇异终端滑模控制策略。该控制结构增加了电机间的速度检测和反馈,并且对反馈结构进行PID控制,提高了电机间速度的同步性;该控制策略结合线性滑模控制和非奇异终端滑模控制的优点,并优化了滑模面的设计,缩短了系统收敛时间,提高了系统的动态、稳态性能。仿真实验表明:该控制结构提高了系统的同步性能、抗干扰能力;该控制策略很好地提高系统的动态、稳态性能和鲁棒性。该文提出的控制结构和策略能够良好地运用于ROV多电机系统。     

基于自适应积分滑模与扰动观测的多PMSM同步控制

为了克服多电机差速失步振荡及同步稳定性变差等问题,提出了基于新型自适应积分滑模和扰动观测的多 PMSM 同步控制方法。首先,构建了一种改进型偏差耦合同步控制结构。其次,设计了基于新型自适应积分滑模(new adaptive integral sliding mode control, NAISMC)的 PMSM 控制器。同时,利用滑模扰动观测器(sliding mode disturbance observer, SMDO)对电机负载扰动进行观测,并与改进的偏差耦合同步控制结构相结合,提出了基于NAISMC与SMDO的多 PMSM 的改进型偏差耦合同步控制方法。最后,进行了实验分析。其结果表明所提出的同步控制方法能有效地保证4个电机具有良好的同步性能,提高了其抗扰动的能力,确保了多电机同步的稳定性。     

Adaptive TS‐FNN control for a class of uncertain multi‐time‐delay systems: The exponentially stable sliding mode‐based approach

This paper presents an adaptive Takagi–Sugeno fuzzy neural network (TS‐FNN) control for a class of multiple time‐delay uncertain nonlinear systems. First, we develop a sliding surface guaranteed to achieve exponential stability while considering mismatched uncertainty and unknown delays. This exponential stability result based on a novel Lyapunov–Krasovskii method is an improvement when compared with traditional schemes where only asymptotic stability is achieved. The stability analysis is transformed into a linear matrix inequalities problem independent of time delays. Then, a sliding mode control‐based TS‐FNN control scheme is proposed to achieve asymptotic stability for the controlled system. Since the TS‐FNN combines TS fuzzy rules and a neural network structure, fewer numbers of fuzzy rules and tuning parameters are used compared with the traditional pure TS fuzzy approach. Moreover, all the fuzzy membership functions are tuned on‐line even in the presence of input uncertainty. Finally, simulation results show the control performance of the proposed scheme. Copyright © 2008 John Wiley & Sons, Ltd.     

基于滑模模糊方法的变速风电系统的最大风能捕捉控制器设计

针对具有不确定参数和强干扰的变速风力发电系统,提出一种积分滑模模糊自适应控制器。该控制策略基于带积分补偿的滑模控制器,并利用自适应模糊控制方法,把滑模控制器中的不确定项进行模糊逼近,同时对其中的切换项也进行模糊自适应逼近,从而有效降低变结构控制固有的抖振现象。利用李亚普诺夫函数证明了控制器的稳定性。采用此控制策略,对变速风力发电系统的风轮转速进行跟踪控制,仿真结果显示此控制方法具有较强的鲁棒性和良好的跟踪性能。     

Avoiding singularities in recurrent neural control for induction motors

In this paper, a master–slave synchronization scheme based on parameter identification is proposed to overcome the controller singularity problem that appears when linearization‐like techniques are applied in indirect adaptive neural control, like Neural Block Control (NBC). Such a synchronization strategy requires an identifier‐like recurrent neural network and an adaptive law to update the neural weights. The proposed adaptive law prevents both, specific adaptive weights zero‐crossing and the ‘parameter drift’ phenomenon. NBC consists of two tasks; synchronizing an identifier‐like recurrent neural network (slave) with the plant (master) and controlling the system based on the slave model. The effectiveness of the synchronization law is tested using NBC for controlling the angular speed and magnetic flux magnitude of an induction motor. Usingit a priori knowledge about the real plant, a high‐order recurrent neural network is proposed as the slave system. Based on the slave neural model, a discontinuous control law is derived, which combines Block Control and Sliding Modes. NBC with the proposed synchronization strategy is tested via simulations, comparing results with a standard parameters adaptive law. Copyright © 2011 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.     

Adaptive synchronization of fractional‐order complex networks via pinning control

Adaptive synchronization of a class of fractional‐order complex networks is investigated in this paper. On the basis of the fractional‐order system stability theory, adaptive synchronization criteria of fractional‐order complex networks with 0 < q < 1 is achieved. Furthermore, pinning control method is then suggested to control the networks, and adaptive strategy is employed to tune the control gains and coupling strength. Because the nodes with high degree may not be the center of the networks, a new attempt to choose the pinned nodes on the basis of the closeness centrality scheme is proposed. Finally, numerical simulations are given to verify the effectiveness of the proposed approach based on the closeness centrality scheme. Copyright © 2012 John Wiley & Sons, Ltd.     

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.     

发电厂主汽温系统的模糊滑模控制研究

电厂主汽温被控对象是一个典型的变参数、强扰动的对象,常规的PID控制器难以满足控制要求。针对此问题,设计一种自适应模糊滑模控制器。该控制策略基于带积分补偿的变结构控制器,并利用自适应模糊控制方法,把滑模控制器中的不确定项进行模糊逼近。利用李亚普诺夫函数证明了控制器的稳定性。将此控制策略应用到电厂主汽温控制系统中,仿真结果显示此控制方法具有较强的鲁棒性和良好的跟踪性能。     

Adaptive function Q‐S synchronization of chaotic systems with unknown parameters

This work investigates the adaptive function Q‐S synchronization of non‐identical chaotic systems with unknown parameters. The sufficient conditions for achieving Q‐S synchronization with a desired scaling function of two different chaotic systems (including different dimensional systems) are derived based on the Lyapunov stability theory. By the adaptive control technique, the control laws and the corresponding parameter update laws are proposed such that the Q‐S synchronization of non‐identical chaotic systems is to be achieved. Finally, four illustrative numerical simulations are also given to demonstrate the effectiveness of the proposed scheme. Copyright © 2009 John Wiley & Sons, Ltd.     

Robust adaptive sliding mode control for uncertain time‐delay systems

This paper is devoted to robust adaptive sliding mode control for time‐delay systems with mismatched parametric uncertainties. Sufficient conditions for the existence of linear sliding surfaces are given in terms of linear matrix inequalities, by which the corresponding adaptive reaching motion controller is also designed. Simulation studies show the effectiveness of the control scheme. Copyright © 2008 John Wiley & Sons, Ltd.     

Adaptive enhanced sliding mode control for permanent magnet synchronous motor drives

An adaptive enhanced sliding mode control (AESMC) scheme for the position tracking control of permanent magnet synchronous motor drives is proposed in this paper. The AESMC system is composed of three controllers: the adaptive model compensation controller, which is used to compensate for the parameter perturbations to achieve perfect tracking; the hitting controller, which is considered to attenuate the effect of external load disturbance and the compensation error; and the robust feedback controller, which is used to enhance the stability of the closed‐loop system and to improve the transient performance while the AESMC is in the learning process. Moreover, the bound of the lumped disturbance is assumed to be unknown, and an adaptive mechanism is investigated to estimate this bound. Simulation results show that the proposed AESMC scheme has a favorable tracking performance in spite of various model uncertainties. Copyright © 2015 John Wiley & Sons, Ltd.     

一类非线性系统的微分与积分滑模自适应控制及其在电液伺服系统中的应用

针对一类参数不确定的非线性系统，提出了一种微分与积分滑模自适应控制策略。在滑模控制中引入积分控制项，消除了传统滑模变结构控制需要被跟踪信号导数已知的假设，同时基于Lyapunov方法引入参数自适应律，使系统具有优良的抗干扰特点。利用一非线性微分控制减弱了参数自动调整阶段引起的系统抖动。给出了积分滑模控制中切换函数的定义方法，以及非线性微分控制中微分系数的非线性函数表达式。采用该控制方法，对电液伺服系统的液压缸位置进行跟踪控制。仿真结果显示，该方法具有较强的鲁棒性及良好的跟踪性能。     

Sliding mode control of switched hybrid systems with time‐varying delay

This paper is concerned with the sliding mode control of a continuous‐time switched system with time‐varying delay in its state. By using the average dwell time approach and the piecewise Lyapunov function technique, a sufficient condition is first proposed to guarantee the exponential stability of the unforced system with the decay estimate explicitly given. A sufficient condition of the existence of a reduced‐order sliding mode dynamics is derived, and an explicit parametrization of the desired sliding surface is also given. The obtained conditions will be solved using the cone complementary linearization (CCL) method. An adaptive sliding mode controller for the reaching motion is then designed such that the trajectories of the resulting closed‐loop system can be driven onto a prescribed sliding surface and maintained there for all subsequent times. All the conditions obtained in this paper are delay dependent. Finally, two numerical examples are given to illustrate the effectiveness of the proposed theory. Copyright © 2008 John Wiley & Sons, Ltd.