机器人离散滑模变结构—PI控制器

本文采用离散滑模变结构控制方法，针对机器人提出了一种滑模变结构——ＰＩ控制方案，给出了该控制方案滑模存在条件及控制器设计方案。该控制器将离散滑模变结构控制和ＰＩ控制两者的优点有机地结合起来，理论分析和仿真结果表明该控制器能使机器人在各种复杂非线性动力学情况下具有良好的性能指标。这种控制器输出切换小，可以投入应用。     

船舶操纵非线性系统的鲁棒变结构控制

本文采用伪线性化变换将船舶操纵非线性系统近似地化为线性可控正则型，并对线性化系统设计了一种连续的变结构以提高整个闭环系统的鲁棒性。该方案用于限制水域中船舶的航向航迹纠编控制中，取得了预期的结果。     

基于协同观测器的永磁同步电机无传感控制

针对传统滑模观测器使用符号函数引起的抖振问题,提出了一种基于连续函数的协同观测器方法,实现永磁同步电机(PMSM)的无传感控制。首先,研究PMSM的离散数学模型。其次,建立k+1时刻的电流偏差和k时刻的电流偏差之间的函数关系。最后,利用反正切函数计算转子位置并加入角度补偿,提高观测精度。仿真结果表明,所设计的协同观测器不仅无抖振现象,还具有更高的估算精度及良好的抗干扰性能,比传统滑模观测器可以更好地实现PMSM的无传感控制。     

On adaptive sliding mode control without switching gain overestimation

This paper presents some further results on adaptive sliding mode control (ASMC) for a class of nonlinear systems with bounded uncertain parameters. Given a large initial tracking error, current ASMC design generally produces an unnecessarily large switching gain, consequently leading to a serious chattering problem or a large‐amplitude control jump for the continuous counterpart. To solve such an overadaptation problem, the switching gain adaptation mechanism is first analyzed in this paper, and the adaptation induced by the initial tracking error is suggested to be removed. Then, by exploiting the global sliding mode feature of time‐varying sliding mode control and integral sliding mode control, we present two effective methodologies for ASMC design. The proposed ASMC algorithms ensure that there is no overestimation of the switching gain and the system response is not slowed down when a small switching gain is generated. The validity of the proposed methods is verified by both theoretical analysis and simulation results. Copyright © 2012 John Wiley & Sons, Ltd.     

永磁直线电机自适应区间二型模糊滑模控制

针对永磁直线同步电机伺服系统受到系统参数变化、负载扰动而降低其性能的问题,考虑端部效应以及摩擦力的存在,提出一种自适应区间二型模糊滑模控制方法.采用自适应区间二型模糊系统逼近滑模控制等效控制部分,把传统的一型模糊系统扩展到区间二型模糊系统,提高系统面临参数变化、不确定性扰动时的处理能力.基于Lyapunov函数设计切换项增益调整的自适应律,保证系统的稳定性.仿真结果表明,该方法提高了系统的鲁棒性,有效地削弱了系统的抖振.     

滑模变结构控制的抖振问题研究

文章在分析变结构控制（VSC）系统抖振发生机理基础上，讨论了几种消除或削弱抖振的途径。提出了一种类似于模糊推理的VSC方法，并给出了在加工过程控制中的应用实例，仿真结果表明，该方法能够有效地削弱系统抖振，而不会影响控制器的鲁棒性能。     

Chattering reduction of sliding mode control by low‐pass filtering the control signal

The conventional approach to reducing control signal chattering in sliding mode control is to use the boundary layer design. However, when there is high‐level measurement noise, the boundary layer design becomes ineffective in chattering reduction. This paper, therefore, proposes a new design for chattering reduction by low‐pass filtering the control signal. The new design is non‐trivial since it requires estimation of the sliding variable via a disturbance estimator. The new sliding mode control has the same performance as the boundary layer design in noise‐free environments, and outperforms the boundary layer design in noisy environments. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society     

集成神经网络与自适应算法的分数阶滑模控制

针对被控对象的参数时变和外部扰动问题,本文融合神经网络的万能逼近能力和自适应控制技术,并结合分数阶微积分理论,提出了基于神经网络和自适应控制算法的分数阶滑模控制策略.本文采用等效控制的方法设计滑模控制律,并利用神经网络的万能逼近能力估测控制律的变化,结合自适应控制算法和分数阶微积分理论抑制传统滑模控制系统的抖震,同时根据Lyapunov稳定性理论分析了系统的稳定性,最后给出了实验结果.实验结果表明,本文提出的基于神经网络和自适应控制算法的分数阶滑模控制系统,能保持滑模控制器对系统外部扰动和参数变化鲁棒性的同时,也能有效地抑制抖震,使得系统获得较高的控制性能.     

On a new adaptive sliding mode control for MIMO nonlinear systems with uncertainties of unknown bounds

This paper proposes a new approach of adaptive sliding mode controller designs for multiple‐input multiple‐output nonlinear systems with uncertainties of unknown bounds and limited available inputs. The goal is to obtain robust, smooth, and fast transient performance for real sliding mode control so that the phenomena of the slow response and the gain overestimation in most adaptive sliding mode controller designs can be greatly improved. We introduce an Integral/Exponential adaptation law with boundary‐layer targeting the reduction of the chatter levels of the sliding mode by significantly reducing the gain overestimation while simultaneously speeding up the system response to the uncertainties. The gain is further reduced when the system state is in the boundary layer. The simulation and experimental results demonstrate the proposed design. Copyright © 2016 John Wiley & Sons, Ltd.     

基于幂次函数的离散滑模控制算法

利用幂次函数构造一种新的趋近律离散滑模控制算法,并给出了无抖振的理论证明.对于标称系统,该算法可使切换函数无抖振、无正负交替地快速趋近于零;对于满足匹配条件的不确定性系统,可使切换函数无抖振、单调地收敛于与外干扰相关的某一数值.利用倒立摆模型进行了数值仿真,结果表明,控制器的输出、切换函数、被控系统的输出均不存在抖振现象,而且被控系统表现出了良好的动态品质.