抗扰控制中的不变性原理

不变性原理是抗扰控制理论的基本原理,抗扰性能是不变性原理的外在表现.本文对双通道扰动补偿控制、内模控制、基于扰动观测器的控制和自抗扰控制中的不变性原理进行分析;给出了这些抗扰控制方法之间的内在联系;指出自抗扰控制为内含由两种不变性实现的三自由度结构.自抗扰控制采用总扰动的估计和补偿实现了广义被控对象的动态模型的不变性;采用状态误差反馈控制率实现了准滑动模控制,从而进一步实现对扰动的不变性.按照不变性原理可以更好地把握抗扰控制的本质、简化控制思想的描述和指导工程实践.     

基于时间尺度的Boost变换器自抗扰控制

以Boost变换器的控制策略为研究对象,将自抗扰控制技术应用到Boost变换器的控制策略中,使被控系统不但具有良好的动态特性,而且对参数变化具有较强的鲁棒性.同时针对自抗扰控制参数难以整定的特点,介绍了自抗扰控制的参数整定基本原则,对Boost变换器进行自抗扰控制仿真,并和PID控制进行对比.最后,用时间尺度概念对Boost变换器的自抗扰控制进行参数整定.仿真结果验证了该方法确实可行.     

一种新型控制方法—自抗扰控制技术及其工程应用综述

自抗扰控制（active disturbance rejection control,ADRC）是韩京清研究员于1998年正式提出的一种不依赖被控对象模型的新型实用技术,具有很好的工程应用前景。为了便于理论分析与工程实际应用的推广实现,高志强教授在ADRC的基础上提出易于参数整定的线性自抗扰控制（LADRC）,极大地推动了自抗扰控制理论发展与实际应用。本文简要介绍了自抗扰控制的基本思想及线性自抗扰控制的基本原理,较为系统地阐述了自抗扰控制理论的研究进展,就自抗扰控制在实际工程领域中的应用进行了分类总结,最后给出需要进一步深入研究的方向。     

时滞系统的自抗扰控制综述

时滞系统的控制一直是具有挑战性的普遍问题, 而自抗扰控制思想近年来被广泛地应用于时滞系统中. 在简要概述自抗扰控制原理的基础上, 介绍了应用自抗扰控制思想解决时滞系统问题的常用设计方法, 总结了自抗扰控制器的参数整定方法. 最后, 对今后的进一步研究进行了展望.     

电机驱动驻车系统的非线性自抗扰控制

电机是电动汽车的动力源,能快速启动,并通过矢量控制技术精确控制输出转矩.本文针对电动汽车电子驻车系统制动问题,提出了一种采用自抗扰控制技术驱动电机实现驻车制动的有效方法.为此分析了车辆在坡道上的纵向运动学模型,结合电机数学模型和整车模型,设计了电动汽车电子驻车非线性自抗扰控制器,并搭建了闭环仿真模型.仿真结果表明,自抗扰控制系统响应性能明显优于PID控制,最后通过实验,验证所设计的控制方案对驻车过程内外扰动具有较强的鲁棒性,能够实现驻车过程快速有效制动.     

滑模控制和自抗扰控制的研究进展

本文概括了滑模控制和自抗扰控制的研究进展,进一步给出了复合控制的思想.滑模控制和自抗扰控制都有它们各自的优点,但是也都有它们各自的局限,例如:滑模控制中的抖振问题和自抗扰控制中的估计能力受限问题.复合控制结合了滑模控制和自抗扰控制的优点,并能提高闭环系统的性能.     

高超声速飞行器再入姿态改进自抗扰控制

针对高超声速飞行器在无动力再入过程中具有复杂非线性、控制通道间强耦合及气动参数不确定性,增加了控制器设计的困难.通过构造连续光滑扩张状态观测器及自抗扰解耦控制技术,设计了高超声速飞行器自抗扰姿态控制器.采用构造qin函数实现了连续光滑扩展状态观测器的设计,可避免自抗扰控制器应用过程中的高频颤振现象.通过自抗扰解耦控制技术设计了姿态角及姿态角速度联合控制器,无需基于奇异摄动理论分为内外环控制,解决了设计飞行器内外环控制器时需忽略内环对外环的耦合影响问题,并且解决了难于获取精确的飞行器被控模型及精确的气动参数、摄动界限等问题.仿真结果表明了改进方法的有效性.     

自抗扰控制在永磁直线电机控制中的应用

针对在工业中广泛应用的PID控制器的特点及存在的问题做了分析,并介绍了自抗扰控制技术的原理、结构、以及控制器的设计.对一个永磁直线电机在考虑将电机耦合视为内扰及外部摩擦干扰情况下的具体实例给出了采用自抗扰控制技术的仿真结果.同时对简化的电机模型也给出了采用PID调节的仿真结果.结合仿真结果可以看到自抗扰控制器的抗干扰性和鲁棒性都优于经典PID控制器.     

基于一致性和自抗扰的多智能体编队控制方法

多智能体协同编队问题是多智能体研究的热点问题。本文主要研究了扰动环境下四旋翼无人机群的编队控制问题。首先对不含扰动的时变编队控制算法进行学习仿真；然后由于扰动因素风的存在,提出自抗扰控制技术来抑制扰动；最后将时变编队控制算法和自抗扰控制技术相结合,实现对扰动环境下无人机群的编队控制。通过仿真结果中的编队误差和编队轨迹验证了基于一致性和自抗扰的控制器有着更强的鲁棒性和抗干扰能力。     

无刷直流电机的新型控制器

自抗扰控制(ADRC)是在继承经典PID不依赖于对象模型的基础上,通过改进经典PID固有缺陷而形成的新型控制技术.为满足无刷直流电机控制系统性能要求,在分析永磁无刷直流电机特点及使用现状的基础上,建立了基于自抗扰控制器的无刷直流电机控制系统.仿真结果表明,自抗扰控制器对无刷直流电机模型的不确定性和外部扰动变化具有较强的适应性和鲁棒性,算法简单、工程适用性较强,系统具有良好的动态响应性能.     

Boundary stabilization of a cascade of ODE‐wave systems subject to boundary control matched disturbance

In this paper, we are concerned with a cascade of ODE‐wave systems with the control actuator‐matched disturbance at the boundary of the wave equation. We use the sliding mode control (SMC) technique and the active disturbance rejection control method to overcome the disturbance, respectively. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of solution for the closed‐loop via SMC are proved, and the monotonicity of the ‘reaching condition’ is presented without the differentiation of the sliding mode function, for which it may not always exist for the weak solution of the closed‐loop system. Considering that the SMC usually requires the large control gain and may exhibit chattering behavior, we then develop an active disturbance rejection control to attenuate the disturbance. The disturbance is canceled in the feedback loop. The closed‐loop systems with constant high gain and time‐varying high gain are shown respectively to be practically stable and asymptotically stable. Then we continue to consider output feedback stabilization for this coupled ODE‐wave system, and we design a variable structure unknown input‐type state observer that is shown to be exponentially convergent. The disturbance is estimated through the extended state observer and then canceled in the feedback loop by its approximated value. These enable us to design an observer‐based output feedback stabilizing control to this uncertain coupled system. Copyright © 2016 John Wiley & Sons, Ltd.     

Position‐dependent disturbance rejection using spatial‐based adaptive feedback linearization repetitive control

In this paper, we propose a new design of spatial‐based repetitive control for a class of rotary motion systems operating at variable speeds. The open‐loop system in spatial domain is obtained by reformulating a nonlinear time‐invariant system with respect to angular displacement. A two‐degree‐of‐freedom control structure (comprising two control modules) is then proposed to robustly stabilize the open‐loop system and improve the tracking performance. The first control module applies adaptive feedback linearization with projected parametric update and concentrates on robust stabilization of the closed‐loop system. The second control module introduces a spatial‐based repetitive controller cascaded with a loop‐shaping filter, which not only further reduces the tracking error, but also improves parametric adaptation. The overall control system is robust to model uncertainties of the system and capable of rejecting position‐dependent disturbances under varying process speeds. Stability proof for the overall system is given. A design example with simulation is provided to demonstrate the applicability of the proposed design. Copyright © 2008 John Wiley & Sons, Ltd.     

Stabilization of ODE with hyperbolic equation actuator subject to boundary control matched disturbance

ABSTRACT

In this paper, we consider stabilisation for a cascade of ODE and first-order hyperbolic equation with external disturbance flowing to the control end. The active disturbance rejection control (ADRC) and sliding mode control (SMC) approaches are adopted in investigation. By ADRC approach, the disturbance is estimated through a disturbance estimator with both time-varying high gain and constant high gain, and the disturbance is canceled online in the feedback loop. It is shown that the resulting closed-loop system with time-varying high gain is asymptotically stable and is practically stable with constant high gain. By SMC approach, the existence and uniqueness of the solution for the closed loop via SMC are proved, and the monotonicity of the ‘reaching condition’ is presented. The resulting closed-loop system is shown to be exponentially stable. The numerical experiments are carried out to illustrate effectiveness of the proposed control law.     

工业串联系统的多反馈预测控制

本文针对由一系列环节串联而成的工业对象,提出一种利用过程中间信息多重反馈的预测控制算法。其结构清晰直观,物理意义明确,设计简单规范。仿真结果表明,该算法具有较强的抗干扰性和鲁棒性。     

Asynchronous sequential machines with adversarial intervention: the use of bursts

Feedback controllers can automatically counteract the effects of adversarial interventions on the operation of asynchronous sequential machines. The use of bursts–fast outbursts of characters generated by a controlled machine during transition–helps broaden the conditions under which such controllers exist. Necessary and sufficient conditions for the existence of state feedback controllers that employ bursts to counteract the effects of adversarial interventions are presented. Design techniques for such controllers are also described.     

具有外部干扰的不稳定剪切梁的输入–状态稳定

本文针对一端受到范德华力的不稳定剪切梁方程,考虑其输入–状态稳定性问题.通过可逆变换把方程等价地变成一个具有反馈循环的2×2的一阶运输方程与常微分方程的耦合系统.通过自抗扰控制方法,给出具有时变增益的扩张状态观测器来估计干扰.应用Backstepping变换和干扰估计量,设计系统的反馈控制来补偿系统本身的不稳定以及消除匹配干扰.通过C₀–半群方法证明闭环系统的适定性,以及Lyapunov方法证明闭环系统的输入–状态稳定性.数值仿真验证理论结果的正确性.     

Output feedback stabilization of an unstable wave equation with general corrupted boundary observation

We consider boundary output feedback stabilization for an unstable wave equation with boundary observation subject to a general disturbance. We adopt for the first time the active disturbance rejection control approach to stabilization for a system described by the partial differential equation with corrupted output feedback. By the approach, the disturbance is first estimated by a relatively independent estimator; it is then canceled in the feedback loop. As a result, the control law can be designed almost as that for the system without disturbance. We show that with a time varying gain properly designed, the observer driven by the disturbance estimator is convergent, and that all subsystems in the closed-loop are asymptotically stable in the energy state space. We also provide numerical simulations which demonstrate the convergence results and underline the effect of the time varying gain estimator on peaking value reduction.     

Output feedback stabilisation for a cascaded wave PDE-ODE system subject to boundary control matched disturbance

In this paper, we consider output feedback stabilisation for a wave PDE-ODE system with Dirichlet boundary interconnection and external disturbance flowing the control end. We first design a variable structure unknown input type state observer which is shown to be exponentially convergent. Then, we estimate the disturbance in terms of the estimated state, an idea from active disturbance rejection control. These enable us to design an observer-based output feedback stabilising control to this uncertain PDE-ODE system.     

线性系统的动态输出反馈最优扰动抑制

首先通过求解Riccati方程和Sylvester方程,推导出前馈反馈最优扰动抑制控制律．然后构建了能同时预估状态和扰动的降维观测器,解决了前馈控制的物理不可实现问题．进而结合降维观测器和前馈反馈最优控制律,提出了一种动态输出反馈扰动抑制控制器的设计算法．最后通过仿真实例表明本文提出的控制算法的可行性．