带非三角结构的非线性系统自适应控制设计

针对一类带有非三角结构的不确定非线性系统,研究了其控制设计问题,提出了一种自适应跟踪控制设计方法。通过构造一种新的李雅普诺夫函数,并运用增加幂次积分方法和模糊控制方法,设计得到了一种新型自适应跟踪控制器。控制器只引入了一个参数自适应律,避免了反推设计中的过参数化问题,同时保证了输出跟踪误差可以任意小,且使得闭环系统的所有信号有界。最后,将控制方法应用到单连杆机械臂系统上,通过仿真研究验证了所提控制方案的有效性。     

高阶非线性不确定系统的自适应实际输出跟踪控制

本文研究了一类高阶非线性不确定系统的自适应实际输出跟踪控制问题, 该问题在未知控制系数的下界精确知道的假设下已经得到了研究. 基于新的鲁棒自适应控制和连续控制思想, 成功去除该假设条件. 进而应用增加幂次积分的方法, 给出了构造连续自适应实际输出跟踪控制器的系统化方法. 该控制器确保闭环系统的所有状态全局稳定, 并且经过有限时间后, 跟踪误差可以被某一事先给定的任意正数界定. 最后, 通过一个仿真算例验证了理论结果的正确性.     

一类新的二阶滑模控制方法及其在倒立摆控制中的应用

二阶滑模作为高阶滑模的特殊情形, 不仅具有传统滑模鲁棒性强、对外界干扰不敏感的特点, 而且能够有效地消弱传统一阶滑模中存在的"抖振"现象. 本文设计了一种新的二阶滑模控制算法. 该算法的优点是假设不确定性是由非负函数限制而不是由常数限定. 因此, 该算法在实际应用中具有更广的应用范围. 此外, 算法中的加幂积分技术保证了系统在有限时间内稳定, 而不是传统二阶滑模中普遍存在的有限时间收敛, 并给出了严格的数学证明. 最后, 在倒立摆控制中的应用验证了该算法的有效性.     

非线性系统有限时间控制研究综述

近30年来,有限时间控制因其具有收敛速度快、抗扰性强、控制精度高等优点,引起了学者们的研究兴趣.据作者所知,目前鲜有文献系统地总结有限时间控制的相关研究内容.因此,本文致力于较为系统且完整地给出非线性系统有限时间控制方法的研究进展.主要内容包括如下几方面:研究意义;有限时间的定义,判据及设定时间表达式;有限时间设计方法的研究现状以及未来工作.     

二阶系统有限时间控制方法综述

相比于传统且经典的比例–积分–微分控制(PID)控制, 带有指数参数的有限时间控制方法具有更好的控制性能, 因而引起广泛的关注和研究. 本文首先从方法设计和稳定性分析角度, 对现有主流有限时间控制方法进行整理和归纳, 将其分为17种有限时间状态反馈控制方法及6种有限时间输出反馈控制方法. 其次, 以一类具有普遍和基础性的二阶系统为例, 统一变量和参数, 给出了每种控制方法对应的控制器的显式结构. 然后, 通过原理分析和比较分析, 对每种控制方法的优点及不足之处进行了总结, 尤其是给出了终端滑模控制具有“控制奇异与收敛时间矛盾性”的结论, 以及指出了一些方法存在较大保守性的问题. 最后, 通过列表的方式展示了所有有限时间控制方法的优缺点及值得进一步深入研究的课题     

预测控制在电力电子变流器中的应用综述

随着微处理器技术的发展,综合预测控制的诸多优点,预测控制在电力电子变流器中的应用已成为研究热点.阐述了预测控制应用于电力电子变流器的基本原理和特点,对无差拍控制、连续控制集模型预测控制、有限控制器模型预测控制在电力电子变流器中的应用进展进行了总结和评述,展望了预测控制在电力电子变流技术领域的研究方向.     

广义系统的终端滑模变结构控制

研究广义系统的终端滑模控制问题,通过线性奇异变换将广义系统化为受限等价形式,在此基础上给出相应的终端滑模超曲面和终端滑模控制律．研究结果表明,系统状态变量能以较快的收敛速度在有限时间内进入滑模超曲面并最终到达平衡点。     

滑模控制方法在硬盘磁头定位控制中的应用

对硬盘驱动伺服系统应用了滑模控制系统,包括采用近似时间最优控制的寻道控制及基于滑模控制的跟踪控制;为了调节系统快速到达稳态的时间并削弱抖振对于硬盘磁头系统的影响,设计了一种新的随时间变化的离散趋近律的滑模控制策略,引入二次型李亚普诺夫函数证明滑模面的到达性及渐近稳定性;通过仿真验证了该改进离散趋近律在寻道跟踪控制过程中的快速性。     

Fixed-time regulation control of uncertain nonholonomic systems and its applications

Stabilisation of nonholonomic systems is of great practical importance to the industry. Moreover, fixed-time control is more comfortable than finite-time control since the upper bound of the settling time is independent on the initial system states in a fixed-time control issue and therefore can be estimated in advance. Inspired by the aforementioned two points, we consider the fixed-time stabilisation for a kind of uncertain nonholonomic systems subject to perturbations in this paper. A globally fixed-time stabilisation strategy is proposed by taking advantage of adding one power integrator technique and switching ideal. Under the designed controllers, all states can be regulated to zero before a fixed time and kept zero afterwards. As an application, the fixed-time stabilisation for a class of dynamic nonholonomic systems is also addressed by the combined method of adding one power integrator and terminal sliding-mode control. Three mechanical and academic examples are provided to show the flexibility and effectiveness of the assumptions and control algorithms.     

有未知控制系数和零动态的高阶非线性系统的自适应控制设计

主要研究一类控制系数未知和有不可测零动态的高阶非线性系统的全局自适应镇定问题. 进一步放宽了对零动态的约束条件, 通过定义一个恰当的未知参数, 把连续自适应状态反馈控制器的动态阶数降到最低(仅一维). 通过结合增加幂次积分方法, 相关的自适应技术以及交换能量函数思想, 给出控制器的设计步骤. 所设计的控制器确保闭环系统的所有状态是全局一致有界的, 且原系统的状态收敛到零.     

Designing Stable Finite State Machine Behaviors Using Phase Plane Analysis and Variable Structure Control

This paper discusses how phase plane analysis can be used to describe the overall behavior of single and multiple autonomous robotic vehicles with finite state machine rules. The importance of this result is that we can begin to design provably stable group behaviors from a set of simple control laws and appropriate switching points with decentralized variable structure control. The ability to prove stable group behavior is especially important for applications such as locating military targets or land mines. In this paper, we demonstrate how phase plane analysis has been used to explain the behavior of a 16 cm³ autonomous line-tracking robot with four finite states. After which, the analysis is extended to include the design of a decentralized variable structure controller that guides multiple vehicles to a goal while avoiding each other.     

一般型最优有限预见控制及其在地形跟踪中的应用研究

提出一种新的预见控制方法——一般型最优有限预见控制方法,并将其应用于巡航导弹地形跟踪控制系统的设计.将参考信号和干扰信号考虑成更一般的形式,在其自相关函数值已知的条件下,得到了一般型有限预见伺服系统设计问题的最优解.通过仿真证实,采用该方法设计地形跟踪系统,可以明显地改善巡航导弹的地形跟踪性能.     

On Finite‐Time Stabilization of Active Disturbance Rejection Control for Uncertain Nonlinear Systems

This paper designs the active disturbance rejection control (ADRC) to achieve finite‐time stabilization for a class of uncertain nonlinear systems. The proposed control incorporates both an extended state observer (ESO) as well as an adaptive sliding mode controller. The ESO is utilized to estimate the full system states and the total uncertainties, and the adaptive strategy is incorporated to deal with the estimation errors. It is proved that, with the application of the proposed control law, semi‐global finite‐time stabilization can be achieved. Effectiveness of the proposed method is illustrated with a numerical example.     

门禁系统在博物馆的应用

在数字技术网络技术飞速发展的今天门禁技术得到了迅猛的发展。门禁系统早已超越了单纯的门道及钥匙管理,它已经逐渐发展成为一套完整的出入管理系统。它在工作环境安全、人事考勤管理等行政管理工作中发挥着巨大的作用。本文就门禁系统在博物馆的应用进行分析研究。     

模型跟随变结构控制系统的滑模设计和控制策略研究

介绍模型跟随变结构控制系统一种新的滑模平面设计方法。运用矩阵的广义逆及投影变换理论对模型跟随变结构控制系统的降阶控制进行论证，并对系统的特性进行分析，同时研究了模型跟随变结构系统的控制策略选择。     

Containment Control of General Linear Multi-agent Systems with Multiple Dynamic Leaders: a Fast Sliding Mode Based Approach

In this paper, distributed containment control problems of general linear multi-agent systems are investigated. The objective is to make the followers in a multi-agent network converge to the convex hull spanned by some leaders whose control inputs are nonzero and not available to any followers. Sliding mode surfaces are defined for the cases of reduced order and non-reduced order, respectively. For each case, fast sliding mode controllers are designed. It is shown that all the error trajectories exponentially reach the sliding mode surfaces in a finite time if for each follower, there exists at least one of the leaders who has a directed path to the follower, and the leaders' control inputs are bounded. The control Lyapunov function for exponential finite time stability, motivated by the fast terminal sliding mode control, is used to prove reachability of the sliding mode surfaces. Simulation examples are given to illustrate the theoretical results.      

Sliding Mode Control in Power Converters and Drives: A Review

Sliding mode control(SMC)has been studied since the 1950s and widely used in practical applications due to its insensitivity to matched disturbances.The aim of this paper is to present a review of SMC describing the key developments and examining the new trends and challenges for its application to power electronic systems.The fundamental theory of SMC is briefly reviewed and the key technical problems associated with the implementation of SMC to power converters and drives,such chattering phenomenon and variable switching frequency,are discussed and analyzed.The recent developments in SMC systems,future challenges and perspectives of SMC for power converters are discussed.     

An Adaptive Learning Control and Its Application to Vibration Isolation Systems

We present adaptive learning control algorithms which use Markov parameters. Since in the algorithm, the control input and the model parameter are updated at each iteration, it is applicable to unknown systems in a class. In order to overcome the effect of a disturbance, Markov parameters of the inverse model is also introduced. The effectiveness of the algorithm is illustrated by means of a numerical simulation and experimental application to an active vibration isolation system.     

Synchronization and Tracking of Multi‐Spacecraft Formation Attitude Control Using Adaptive Sliding Mode

This paper presents the finite‐time attitude synchronization and tracking control method of undirected multi‐spacecraft formation with external disturbances. First, a modified adaptive nonsingular fast terminal sliding mode surface (ANFTSMS) is designed by introducing a user‐defined function, both of which avoid the singularity problem and continuous sliding surface, and, therefore, can freely adjust relative weighting between angular velocity error and attitude error adaptively, such that the controller can provide sufficient maneuvers and precision. This provides designers with a new technique to adjust and improve formation control performance. Second, by applying the ANFTSMS associated with adaptation, two proposed decentralized ANFTSM‐controllers provide finite‐time convergence, robustness to disturbance, and chattering free for continuous design. Finally, simulation results validate the proposed algorithms.     

无抖振离散滑模输出反馈控制方法及仿真研究

针对离散时间系统,提出了一种基于多速率采样输出反馈和幂次函数趋近律的离散滑模控制方法;理论分析表明,通过引入幂次函数可消除离散滑模控制系统的抖振;采用多速率采样技术,运用不同采样速率下的系统输出值表示系统状态,实现了仅用系统输入输出采样值完成离散滑模控制器的设计,减轻了控制系统设计的复杂性;仿真结果表明,控制器的输出、切换函数、系统的输出均不存在抖振现象,而且控制系统表现出了良好的动态特性。