基于遗传算法的PID型迭代学习控制增益的选取方法

针对PID型迭代学习控制算法,首先讨论了其收敛的充要条件和单调收敛的充分条件,然后给出目前利用单调收敛的充分条件确定PID增益的方法,并指出其不足。在此基础上,提出了基于遗传算法的PID型迭代学习增益选择方法（PID型GA-ILC算法）。利用该算法可以得到不满足PID迭代学习控制系统单调收敛条件但依然能使该系统单调收敛的PID增益,给出了数值仿真实例,证明了PID型GA-ILC算法的有效性。     

区间不确定系统迭代学习控制的单调收敛性

针对离散线性时不变系统,研究了参数区间不确定迭代学习控制系统(IILC)的单调收敛性条件,并针对常见的离散PD型ILC算法,给出了在l∞范数意义下区间不确定迭代学习控制系统单调收敛性的判断方法,数字仿真结果证明了其有效性。     

重复轨迹运动迭代学习控制的频域分析

应用频域分析方法讨论了一类闭环迭代学习算法的收敛条件和性能,指出其比Arimoto开环迭代学习算法具有明显的优越性,并在讨论迭代收敛条件的基础上给出了闭环迭代学习算法的频域设计方法.     

注塑机注射速度的离散预期学习控制

针对注塑成形过程的重复运行特性,采用离散预期学习控制方法对注射阶段的针对离散化后的注塑机注射速度模型,根据收敛性条件以两步法设计预期学习控制中的两个参数--超前步长与学习增益,并与连续预期学习控制作了比较.当收敛性条件不能在整个频段内满足时,利用DFT/IDFT截断可学习频段外的频率信号,保证跟踪误差单调收敛,并在离散频域内讨论测量噪声存在及初始定位不可重置时学习算法的跟踪性能.仿真结果表明,对于给定的期望注射速度曲线,该方法能得到比P型、D型迭代学习控制(ILC)更满意的跟踪性能,且具干扰抑制能力.     

管道内流动阻力系数的尼古拉兹公式迭代计算收敛区间研究

计算管道内流动阻力系数的尼古拉兹公式是以隐函数形式给出的,不能利用此公式直接计算出阻力系数,必须采用迭代算法.但是关于“迭代初值应如何选取才能保证迭代是收敛的”这一问题,迄今为止没有明确结论.为解决此问题,以“数值分析”理论中关于迭代收敛的定义为依据,分析了迭代函数的单调性,并利用连续函数的拉格朗日中值定理,证明了当迭代初值选取在普通能源输送管道阻力系数的范围内时,迭代总是收敛的.给出了收敛区间.此项研究结果为尼古拉兹公式的应用提供了完备的理论依据.     

迭代自学习控制算法收敛速度研究

从学习律、学习律参数、输出误差等三方面讨论了迭代自学习算法的收敛速度,为提高该算法的收敛速度得到了一些有用的结论     

基于学习自适应估计环的迭代学习控制

针对一类具有强非线性和不确定性的离散时间系统,文章给出了一种基于学习自适应估计环的迭代学习控制方法.在迭代学习控制器的基础上设计了一个学习自适应估计环,用来镇定系统,给出迭代学习控制初始的控制输入值,同时根据估计出的系统参数来确定迭代学习增益的取值范围.文章基于状态空间描述,分析了迭代学习控制系统的收敛性.仿真研究表明,该控制器能够实现完全跟踪,减少系统的初始输出误差,并加快了收敛速度.     

基于学习自适应估计环的迭代学习控制

针对一类具有强非线性和不确定性的离散时间系统,文章给出了一种基于学习自适应估计环的迭代学习控制方法.在迭代学习控制器的基础上设计了一个学习自适应估计环,用来镇定系统,给出迭代学习控制初始的控制输入值,同时根据估计出的系统参数来确定迭代学习增益的取值范围.文章基于状态空间描述,分析了迭代学习控制系统的收敛性.仿真研究表明,该控制器能够实现完全跟踪,减少系统的初始输出误差,并加快了收敛速度.     

即时学习型迭代学习控制在励磁控制中的应用

将即时学习算法型迭代学习控制引入发电机的励磁控制。运用即时学习算法来解决系统的迭代学习控制初值问题,有效地估计初始控制量,加快了算法的收敛速度。仿真结果表明,所设计的励磁控制器与常规PID控制器和非即时学习型励磁控制器相比其收敛速度明显加快,具有更强的维持机端电压的能力。     

非线性系统的改进型迭代学习控制算法研究

针对普通闭环PD型迭代学习控制算法收敛速度慢且收敛精度不高的问题,通过在闭环PD型控制算法中引入动态扩张-收缩因子(dynamic expansion compression coefficient,DECC)的方法,提高闭环PD型算法的收敛速度以及收敛精度。同时将鲁棒控制引入至算法中,进一步提高算法抑制外界干扰的能力。通过构造李雅普诺夫函数证明了在所提改进的控制律作用下的信号是有界且收敛的。最后将改进的迭代学习控制算法应用在一类具有重复运行性质的非线性系统中,证明所提算法是有效的。     

B-spline network-based iterative learning control for trajectory tracking of a piezoelectric actuator

This paper presents the trajectory tracking approach of a piezoelectric actuator using an iterative learning control (ILC) scheme based on B-spline network (BSN) filtering. The ILC scheme adopts a state-compensated iterative learning formula, which compensates for the state difference between two consecutive iterations in order that the iterative learning can learn from the tracking errors of the previous iteration effectively. The BSN is used to attenuate the noises and retrieve the signals of the tracking errors for the ILC. The BSN serves as a unique filter which generally does not have zero-phase responses. Design details on the ILC scheme using BSN filtering are discussed in the paper. Extensive experiments of tracking two desired trajectories for a piezoelectric actuator are presented. The experimental results show that the state-compensated ILC scheme using BSN filtering can achieve fast error convergence and keep small steady-state tracking errors close to the system noise level. This research thus relaxes the restriction of the zero-phase criterion commonly applied to the ILC filtering in the literature.     

Iterative learning-based decentralized adaptive tracker for large-scale systems: a digital redesign approach

In this paper, a digital redesign methodology of the iterative learning-based decentralized adaptive tracker is proposed to improve the dynamic performance of sampled-data linear large-scale control systems consisting of N interconnected multi-input multi-output subsystems, so that the system output will follow any trajectory which may not be presented by the analytic reference model initially. To overcome the interference of each sub-system and simplify the controller design, the proposed model reference decentralized adaptive control scheme constructs a decoupled well-designed reference model first. Then, according to the well-designed model, this paper develops a digital decentralized adaptive tracker based on the optimal analog control and prediction-based digital redesign technique for the sampled-data large-scale coupling system. In order to enhance the tracking performance of the digital tracker at specified sampling instants, we apply the iterative learning control (ILC) to train the control input via continual learning. As a result, the proposed iterative learning-based decentralized adaptive tracker not only has robust closed-loop decoupled property but also possesses good tracking performance at both transient and steady state. Besides, evolutionary programming is applied to search for a good learning gain to speed up the learning process of ILC.     

A novel design strategy for iterative learning and repetitive controllers of systems with a high modal density: Theoretical background

This paper discusses the design and application of iterative learning control (ILC) and repetitive control (RC) for high modal density systems. Typical examples of these systems are structural and acoustical systems considered in active structural acoustic control (ASAC) and active noise control (ANC) applications. The application of traditional ILC and RC design techniques, which are based on a parametric system model, on systems with a high modal density has several important drawbacks: the design procedure is complex, the controllers require much computational power and the robustness of the controllers is low. This paper describes a novel strategy to design noncausal ILC and RC filters, which is especially suited for high modal density systems. Since it does not require a parametric system model, the novel strategy avoids several drawbacks of the traditional techniques: no cumbersome parametric model estimation is required; the ILC and RC controllers are robust to small changes of the poles and zeros of the controlled system; and the complexity of the ILC and RC control filters is restricted. A crucial element in the proposed strategy is the noncausal filtering in the ILC and RC controllers, which requires the availability of a trigger signal to announce a new ILC trial or RC period in advance. A numerical validation on a simulation model proves the potential of the developed strategy.     

Efficient decentralized iterative learning tracker for unknown sampled-data interconnected large-scale state-delay system with closed-loop decoupling property

In this paper, an efficient decentralized iterative learning tracker is proposed to improve the dynamic performance of the unknown controllable and observable sampled-data interconnected large-scale state-delay system, which consists of N multi-input multi-output (MIMO) subsystems, with the closed-loop decoupling property. The off-line observer/Kalman filter identification (OKID) method is used to obtain the decentralized linear models for subsystems in the interconnected large-scale system. In order to get over the effect of modeling error on the identified linear model of each subsystem, an improved observer with the high-gain property based on the digital redesign approach is developed to replace the observer identified by OKID. Then, the iterative learning control (ILC) scheme is integrated with the high-gain tracker design for the decentralized models. To significantly reduce the iterative learning epochs, a digital-redesign linear quadratic digital tracker with the high-gain property is proposed as the initial control input of ILC. The high-gain property controllers can suppress uncertain errors such as modeling errors, nonlinear perturbations, and external disturbances (Guo et al., 2000) [18]. Thus, the system output can quickly and accurately track the desired reference in one short time interval after all drastically-changing points of the specified reference input with the closed-loop decoupling property.     

Iterative learning control scheme for manipulators including actuator dynamics

This paper presents the iterative learning control for the industrial robot manipulators including actuator dynamics. Motivated by human learning, the basic idea of iterative learning control is to use information from previous execution of a trial in order to improve performance from trial to trial. This is an advantage, when accurate model of the system is not available as friction and actuator dynamics, though present in the system, are not modeled to reduce the computational complexity. In this paper different aspects of ILC including the design schemes and control algorithms are covered. The learning control scheme comprises two types of control laws: a linear feedback law and a feed-forward control law. In the feedback loop, the fixed gain PD controller provides stability of the system and keeps its state errors within uniform bounds. In the feed-forward path, a learning control rule/strategy is exploited to track the entire span of a reference input over a sequence of iterations. Algorithms are verified through detailed simulation results on a two DOF robot manipulator.     

Iterative learning control for the filling of wet clutches

This paper discusses the development of an advanced iterative learning control (ILC) scheme for the filling of wet clutches. In the presented scheme, the appropriate actuator signal for a new clutch engagement is learned automatically based on the quality of previous engagements, such that time-consuming and cumbersome calibrations can be avoided. First, an ILC controller, which uses the position of the piston as control input, is developed and tested on a non-rotating clutch under well controlled conditions. Afterwards, a similar strategy is tested on a rotating set-up, where a pressure sensor is used as the input of the ILC controller. On a higher level, both the position and the pressure controller are extended with a second learning algorithm, that adapts the reference position/pressure to account for environmental changes which cannot be learned by the low-level ILC controller. It is shown that a strong reduction of the transmitted torque level as well as a significant shortening of the engagement time can be achieved with the developed strategy, compared to traditional time-invariant control strategies.     

非线性电液位置伺服系统的迭代学习PID控制

介绍了一类具有非线性和重复运动特点的电液位置伺服系统的迭代学习PID控制方法。采用PID控制算法,利用系统重复运动的特点和计算机的记忆存储功能,将系统的每次实际输出与理想输出之间的误差应用于下一次控制过程中,即对实际输入不断进行修正,直至实际输出与期望输出间的误差达到满意为止。仿真结果表明,迭代学习PID控制算法具有实现简单、鲁棒性强和重复精度高的特点,能够对电液位置伺服系统实现有效的控制。     

一类非线性时滞系统的迭代学习控制设计

为了研究时滞对非线性系统的迭代学习控制收敛性的影响,采用了λ范数和一系列不等式技术,通过建立精确的数学模型,分析了在PD学习律下的Hopfield非线性神经网络系统。在全局Lipschi-tz连续条件下,研究了确保系统跟踪误差收敛的充分条件。理论推导证明时滞对这类非线性系统的迭代学习控制系统的收敛性没有显著的影响,仿真结果表明,迭代学习控制可以实现对非线性时滞系统的精确轨迹跟踪。