一种基于神经网络的数据驱动参数整定法

针对难以建立较准确数学模型的非线性被控对象,提出了一种基于神经网络的数据驱动控制器参数整定法.其设计思想是结合虚拟目标值和神经网络,跳过被控对象,直接得到控制器.此外,利用李亚普诺夫理论证明了神经网络的学习速率在一定范围内可以保证控制器的跟踪误差收敛,并且利用虚拟参考反馈整定(VRFT)算法中的滤波器,结合泰勒展开式,进一步验证了闭环控制系统的稳定性.仿真表明,该方法具有计算负担小,采用数据量少,调节参数方便,强跟踪性等优点.     

在线VRFT数据驱动控制方法及其仿真研究*

虚拟参考反馈整定(VRFT)是一种离线的数据驱动控制器参数整定的方法,要求整定过程中对象特性保持不变。本文针对离线算法的不足,提出了一种在线VRFT数据驱动算法。首先利用滤波器改变了离线算法的时序,得到用于实时运算的有效数据。然后提出了基于带遗忘因子递推最小二乘法的VRFT控制器参数辨识方法,不依赖于对象模型,完全利用实时数据实现了在线控制器参数整定。仿真结果表明, 在对象特性变化较大的情况下,在线VRFT整定方法优于传统的离线VRFT方法,具有很好的自适应性。     

基于虚拟模型的自适应解耦抗扰控制

针对一类多变量非线性耦合系统,提出了一种基于虚拟模型的非线性自适应控制器.首先将非线性系统线性化处理并将其作为虚拟模型,对该模型设计线性自适应控制律.然后将线性控制律分别应用在虚拟系统和受控的实际非线性系统上,根据两者的输出误差设计补偿控制律,以达到对实际被控对象进行自适应解耦抗扰的目的.利用李雅普诺夫稳定理论给出了控制系统稳定性条件.实验仿真验证了控制算法的有效性.     

一种离-在线混合数据驱动控制方法及其在直流电动机中的应用

针对离线和在线数据驱动控制方法各自存在的不足,提出一种离-在线混合数据驱动控制方法。首先给出一种基于最小二乘支持向量机和虚拟目标值反馈整定的离线数据驱动控制方法;其次在二自由度控制系统框架下,结合无模型自适应控制,给出一种离-在线混合数据驱动控制方法的结构和设计步骤。该方法跳过被控对象建模过程,大大降低了控制器设计成本,且可避免引入模型误差。将该方法应用于直流电动机离-在线数据驱动控制中,并进行了仿真实验,结果表明,离-在线混合数据驱动控制方法可以有效地实现目标信号跟踪和电动机系统的不确定(外部扰动)抑制。     

一种基于支持向量机的内模控制方法

在基于数据的基础上,采用SVM回归理论建立系统的正向模型和设计逆模控制器.首先简要介绍了SVMR的原理,然后将其应用于内模控制问题,并建立了SVMR模型.其次,在控制过程可逆的条件下设计了SVMR控制器.最后将该控制方法应用于一可逆非线性系统和具未知干扰的温室环境控制问题,仿真结果表明该方法与神经网络IMC相比,具有较简单的模型和较好的控制性能.     

一种极点配置自校正导弹控制器的设计方法

根据导弹的非线性时变的特点,以及自适应控制的优点,结合计算机技术与现代控制理论,设计了一种极点配置自校正导弹控制器.该文为滚转通道建立了二阶离散传递函数模型,给出了模型参数的在线辨识方法,研究了极点配置自校正控制器的设计方法,给出了控制量的计算公式和仿真结果.仿真的结果表明,该控制器对非线性时变的控制对象具有满意的控制效果.     

一类约束条件下的跟踪保性能控制

本文研究了一类时变非线性系统在输入有位置约束条件下的跟踪保性能控制问题.首先对非线性对象选择合适的特征运行状况,采用瞬时线性化技术得到多个线性化控制模型,将之看作是一个线性不确定系统,提出应用基于线性矩阵不等式的跟踪保性能控制设计控制器,然后经过推导得到了满足控制约束的充分条件,以定理的形式给出了约束条件下跟踪保性能控制器存在的充分条件.最后给出了仿真算例,仿真结果表明了所提方法的有效性和可行性.     

基于扰动补偿的无微分模型参考自适应控制系统设计

针对一类含有参数不确定性和未知非线性扰动的系统,本文提出一种基于扰动补偿的无微分模型参考自适应控制方法,实现系统输出对参考模型输出信号的高精度跟踪.首先,利用被控对象模型信息设计扰动估计器,对系统非线性扰动进行在线估计;其次,基于非线性扰动估计值设计参考模型和无微分参数更新律,构建无微分模型参考自适应控制器,建立基于扰动补偿和状态反馈的自适应控制律,以消除参数不确定性和非线性扰动对系统输出的影响,保证系统输出对参考模型输出的准确跟踪;然后,给出闭环系统误差信号收敛条件和控制器参数整定方法;最后,通过数值仿真验证所提方法的有效性和优越性.     

未建模动态增量补偿驱动的非线性PID控制及应用

针对一类具有强非线性、机理不清且动态特性随不同运行条件而变化的复杂过程, 将基于数据的建模技术与基于模型的控制策略相结合, 提出了未建模动态及其未知增量补偿驱动的非线性PID控制方法. 所提的算法将一步超前最优控制策略应用于PID控制器的参数设计, 并结合非线性补偿技术进行综合设计, 从理论上给出了PID控制器参数以及非线性补偿器设计的一般原则和方法, 为解决传统PID控制器参数难于整定的问题提供了方法和途径. 在此基础上, 分析了闭环系统的稳定性和收敛性. 最后, 将所提的控制算法进行数值仿真实验以及Pendubot系统平衡控制的对比实验, 实验结果表明, 在Pendubot的精确摩擦力模型未知的情况下, 所提算法能有效地消除系统未知时变不确定性的影响, 并尽可能地减少Pendubot摆角的波动, 将摆角控制在规定的目标值范围内.     

基于定性状态模型的定性控制方法研究

针对某些复杂系统难以获得精确数学模型来实现有效控制这一问题,采用定性状态模型来描述含有不确定性的非线性系统,提出了一种定性控制方法。首先通过对系统状态的定性划分,采用基于定性推理的自动机建立被控系统定性状态模型,然后设计基于系统定性状态模型的定性控制器,并给出了控制器设计的一般步骤。最后以液位控制系统为例,建立了液位对象的定性状态模型并设计了定性控制器,仿真结果表明该方法的有效性及其理论价值和应用前景。     

Direct nonlinear control design: the virtual reference feedback tuning (VRFT) approach

This paper introduces the virtual reference feedback tuning (VRFT) approach for controller tuning in a nonlinear setup. VRFT is a data-based method that permits to directly select the controller based on data, with no need for a model of the plant. It is based on a global model reference optimization procedure and, therefore, does not require to access the plant for experiments many times so as to estimate the control cost gradient. For this reason, it represents a very appealing controller design methodology for many control applications.     

Model-Free control performance improvement using virtual reference feedback tuning and reinforcement Q-learning

This paper proposes the combination of two model-free controller tuning techniques, namely linear virtual reference feedback tuning (VRFT) and nonlinear state-feedback Q-learning, referred to as a new mixed VRFT-Q learning approach. VRFT is first used to find stabilising feedback controller using input-output experimental data from the process in a model reference tracking setting. Reinforcement Q-learning is next applied in the same setting using input-state experimental data collected under perturbed VRFT to ensure good exploration. The Q-learning controller learned with a batch fitted Q iteration algorithm uses two neural networks, one for the Q-function estimator and one for the controller, respectively. The VRFT-Q learning approach is validated on position control of a two-degrees-of-motion open-loop stable multi input-multi output (MIMO) aerodynamic system (AS). Extensive simulations for the two independent control channels of the MIMO AS show that the Q-learning controllers clearly improve performance over the VRFT controllers.     

基于虚拟参考反馈整定的改进无模型自适应控制

针对一类离散时间非线性系统, 提出一种基于虚拟参考反馈整定的改进无模型自适应控制方案. 首先, 利用动态线性化方法给出非线性系统的紧格式动态线性化模型; 然后, 基于优化技术设计控制算法和伪偏导数估计算法; 最后, 设计基于虚拟参考反馈整定的伪偏导数初值和重置值的估计算法. 该控制方案设计仅依赖于被控系统的输入和输出数据, 且能保证闭环系统的稳定性和收敛性. 仿真比较结果验证了所提出方法的有效性.

     

H∞ output tracking fuzzy control for nonlinear systems with time-varying delay

This paper proposes an observer-based output tracking control via virtual desired reference model for a class of nonlinear systems with time-varying delay and disturbance. First, the Takagi–Sugeno fuzzy model represents the nonlinear system with time-varying delay and disturbance. Then we design an observer to estimate immeasurable states and controller to drive the error between estimated state and virtual desired variables (VDVs) to zero such that the overall control output tracking system has H_∞ control performance. Using Lyapunov–Krasovskii functional, we derive sufficient conditions for stability. The advantages of the proposed output control system are (i) systematic approach to derive VDVs for controller design; (ii) relaxes need for real reference model; (iii) drops need for information of equilibrium; (iv) relaxed condition is provided via three-step procedure to find observer and controller gain. We carry out simulation using a continuous stirred tank reactor system where the effectiveness of the proposed controller is demonstrated by satisfactory numerical results.     

Integrating virtual reference feedback tuning into a unified closed-loop identification framework

This paper compares particular instances of control-relevant identification, closed-loop identification, and controller identification (either in an actual loop or in a virtual reference feedback tuning approach, VRFT) problems. Significant similarities appear between them which allow, in particular, alternative formulations of the VRFT methodology in a differentiable setting.     

Adaptive Fractional Order PI Controller Design for a Flexible Swing arm System Via Enhanced Virtual Reference Feedback Tuning

Flexible swing arm system (FSAS) is one of the most important components in the LED packaging industry. The trajectory tracking performance of the FSAS will directly affect the efficiency and accuracy of the LED packaging equipment. In order to meet the high precision and high speed requirements, this paper proposes an adaptive fractional order proportional integral (AFOPI) control method based on enhanced virtual reference feedback tuning (EVRFT). In this method, the AFOPI controller is applied to handle the fractional order characteristics of the FSAS. EVRFT is used to tune the AFOPI controller in a real‐time way to accommodate the time‐varying operating conditions. The proposed method is facilitated with two advantages: 1) only input/output measured data are fully utilized during the recursive tuning process without using model information of the controlled FSAS; 2) an improved adaptive law is incorporated in EVRFT to reduce the computation burden and provide an unbiased estimate for the ideal controller simultaneously. Thus, the conventional VRFT is enhanced both in efficiency and accuracy. The stability of the proposed method is guaranteed by rigorous theoretical analysis. Finally, experimental results are presented to verify the effectiveness of the EVRFT‐based AFOPI controller.     

H∞ decentralized fuzzy model reference tracking controldesign for nonlinear interconnected systems

In general, due to the interactions among subsystems, it is difficult to design an H_∞ decentralized controller for nonlinear interconnected systems. The model reference tracking control problem of nonlinear interconnected systems is studied via H_∞ decentralized fuzzy control method. First, the nonlinear interconnected system is represented by an equivalent Takagi-Sugeno type fuzzy model. A state feedback decentralized fuzzy control scheme is developed to override the external disturbances such that the H∞ model reference tracking performance is achieved. Furthermore, the stability of the nonlinear interconnected systems is also guaranteed. If states are not all available, a decentralized fuzzy observer is proposed to estimate the states of each subsystem for decentralized control. Consequently, a fuzzy observer-based state feedback decentralized fuzzy controller is proposed to solve the H_∞ tracking control design problem for nonlinear interconnected systems. The problem of H _∞ decentralized fuzzy tracking control design for nonlinear interconnected systems is characterized in terms of solving an eigenvalue problem (EVP). The EVP can be solved very efficiently using convex optimization techniques. Finally, simulation examples are given to illustrate the tracking performance of the proposed methods     

A model-free design of reduced-order controllers and application to a DC servomotor

This paper presents a new model-free technique to design fixed-structure controllers for linear unknown systems. In the current control design approaches, measured data are used to first identify a model of the plant, then a controller is designed based on the identified model. Due to errors associated with the identification process, degradation in the controller performance is expected. Hence, we use the measured data to directly design the controller without the need for model identification. Our objective here is to design measurement-based controllers for stable and unstable systems, even when the closed-loop architecture is unknown. This proposed method can be very useful for many industrial applications. The proposed control methodology is a reference model design approach which aims at finding suitable parameter values of a fixed-order controller so that the closed-loop frequency response matches a desired frequency response. This reference model design problem is formulated as a nonlinear programming problem using the concept of bounded error, which can then be solved to find suitable values of the controller parameters. In addition to the well-known advantages of data-based control methods, the main features of our proposed approach are: (1) the error is guaranteed to be bounded, (2) it enables us to avoid issues related to the use of minimization methods, (3) it can be applied to stable and unstable plants and does not require any knowledge about the closed-loop architecture, and (4) the controller structure can be selected a priori, which means that low-order controllers can be designed. The proposed technique is experimentally validated through a real position control problem of a DC servomotor, where the results demonstrate the efficacy of the proposed method.     

基于数据驱动的控制器综合性能优化

为了提高过程回路的控制性能,提出一种基于数据驱动的控制器综合性能优化方法.首先,通过分析虚拟参考反馈校正方法与内模控制器设计过程的联系,确定数据驱动控制器校正所需参考模型的结构;然后,定义一种结合绝对误差积分和最小方差性能基准的综合性能指标,再基于该指标确定参考模型的未决参数;最后,利用控制系统闭环数据实现对控制器参数...