Tensor product model transformation based decoupled terminal sliding mode control

The main objective of this paper is to propose a tensor product model transformation based decoupled terminal sliding mode controller design methodology. The methodology is divided into two steps. In the first step, tensor product model transformation is applied to the single-input-multi-output system and a parameter-varying weighted linear time-invariant system is obtained. Then, decoupled terminal sliding mode controller is designed based on the linear time-invariant systems. The main novelty of this paper is that the nonsingular terminal sliding mode control design is based on a numerical model rather than an analytical one. Finally, simulations are tested on cart-pole system and translational oscillations with a rotational actuator system.     

一个新混沌系统的自适应滑模变结构控制

研究了一个新混沌系统的控制问题．基于自适应滑模变结构控制的方法，用该控制律，即使系统存在输入饱和及外界扰动，也可以将混沌系统的状态渐进稳定到指定的平衡点．该控制律对外界扰动俱有鲁棒性．数字仿真表明，其控制效果极好．     

用于刚性机械手的无抖振快速终端滑模控制

提出一种用于刚性机械手的无抖振动终端滑模鲁棒控制器。快速终端滑模综合了终端滑模和传统线性滑模的优，能在有限时间内到达平衡点，并降低系统稳态误差。采用优化方法推导出系统的跟踪精度和用于消除抖振的饱和函数和函数宽度之间的数学关系。利用系统的参数化模型，可将参数的不确定部分从回归矩阵中分离出来.根据每个参数不确定范围设计鲁棒控制器。仿真结果证明了该方法的有效性。     

A sliding mode control approach for systems subjected to a norm‐bounded uncertainty

This paper proposes a design approach of continuous sliding mode control of uncertain systems, the uncertainty being norm bounded. The two steps of the design methodology are investigated. The existence step, in which we choose the sliding surface that gives good behaviour during the sliding mode, is formulated as a pole assignment of linear uncertain system in a sector through convex optimization. The solution to this problem is therefore numerically tractable via linear matrix inequalities (LMI) optimization. In the reaching step, we propose a continuous nonlinear control strategy ensuring a bounded motion about the ideal sliding mode, thus approximating the ideal dynamic behaviour in the presence of uncertainty. Finally, the validity and the applicability of this approach are illustrated by a flight stabilization benchmark example. Copyright © 2006 John Wiley & Sons, Ltd.     

Smooth indirect adaptive sliding mode control

In this paper, an indirect approach to the dual‐mode adaptive robust controller (DMARC) is proposed, which combines the typical transient and robustness properties of variable structure systems with a smooth control signal in steady state, typical of conventional adaptive controllers, as model reference adaptive controller. The aim of this indirect version, here named indirect DMARC, is to provide a more intuitive controller design, based on physical plant parameters, as resistances, inertia moments, capacitances, and so on, maintaining DMARC properties. In this paper, a stability analysis for the proposed controller and simulations to an unstable second‐order plant will be presented. Copyright © 2013 John Wiley & Sons, Ltd.     

A feedforward sliding mode controller for a robot manipulator

The problem of tracking an a-priori determined trajectory for a robot manipulator is considered. The overall control scheme of the presented solution consists of a feedforward part and a variable structure regulator in the feedback loop. The outputs of this regulator are of constant amplitudes, which considerably speeds up the on-line calculations. The local stability of the whole system in the presence of parameter uncertainties and bounded disturbances is proved.     

非奇异终端滑模控制系统的设计方法

提出一种全局非奇异终端滑模控制器，可用于带有参数不确定和外部扰动的二阶非线性系统，证明了系统从任意初始状态到达滑模的时间和在滑模上到达平衡点的时间均为有限，分析了终端滑模控制用于不确定性系统的跟踪精度，推导了系统跟踪精度和用于消除抖振的饱和函数宽度之间的数学关系，根据给定的跟踪精度，可设计出合适的饱和函数，仿真结果证明了所提出方法的有效性。     

Global sliding‐mode control with generalized sliding dynamics

A global sliding‐mode control (GSMC) scheme is proposed to provide a framework for ensuring the existence of a sliding mode throughout an entire response. Based on this framework, robust eigenvalue‐assignment GSMC (REA‐GSMC) is proposed to robustly assign closed‐loop eigenvalues that must be real. The eigenvalues being all real, however, leads to sluggish responses. According to most error criteria such as IAE, ISE, and ITAE, the optimum system should have complex eigenvalues. This paper proposes a GSMC scheme with generalized sliding dynamics, referred to as Generalized GSMC, in order to release the previous constraint on the REA‐GSMC. Thus, the Generalized GSMC can be designed to achieve a system that is both robust and optimum in the sense that it minimizes certain error performance indices in spite of the presence of system uncertainties. Experiments were conducted on a two‐link direct‐drive manipulator to demonstrate the effectiveness of the proposed scheme. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society     

三轴稳定挠性卫星姿态机动时变滑模变结构和主动振动控制

针对带有控制受限的挠性卫星的姿态机动和振动控制问题, 给出了一类仅利用输出信息的变结构控制和 基于智能材料的主动振动控制技术相结合的复合控制方法. 首先给出变结构姿态控制器的设计来完成卫星姿态机动, 并给出一种切换机制以实现挠性卫星快速姿态机动; 其次, 采用分布式压电元件作为作动器, 设计了应变速率反馈补偿器以增加挠性结构的阻尼, 使其振动能够很快衰减. 最后, 将本文提出的方法应用于三轴稳定挠性卫星的姿态机动控制, 仿真结果表明: 在推力器的控制受限条件下, 完成姿态机动的同时, 有效地抑制挠性附件的振动.     

TORA系统基于自调节滑模干扰补偿器的解耦滑模控制

针对欠驱动TORA系统,提出一种基于自调节滑模干扰补偿器的解耦滑模控制方法。所提出的控制方法无需系统不确定性上界的先验信息,对于系统不确定性具有良好的适应性。该控制方法包括设计一种自调节滑模干扰补偿器和一种新型的双幂次趋近律,所设计的自调节滑模干扰补偿器能够利用切换增益自适应算法准确逼近上界未知的系统不确定性,所提出的新型双幂次趋近律能够保证系统状态的快速趋近并抑制控制器的高频抖动。采用Lyapunov稳定性理论证明闭环控制系统的稳定性,并通过数值仿真实验验证所提出的控制方法的有效性。     

有限时间快速收敛滑模变结构控制

讨论了一类非线性系统的滑模变结构控制有限时间收敛问题.提出了一种新的收敛滑模超曲面及相应控制方案.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各级滑模超曲面最终到达平衡点,并具有良好的动态性能.最后仿真结果验证了该方案的有效性.     

双轮自平衡机器人的滑模变结构控制研究

本文以双轮自平衡机器人为研究对象,根据经典牛顿力学建立了数学模型,针对传统极点配制方法无法克服机器人运动过程中干扰大、参数变化的问题设计了一种滑模变结构控制算法,并做出了相应的控制和仿真,有效的解决了机器人的平衡控制问题。仿真实验分析表明,滑模变结构控制算法使系统的跟踪速度更快、稳定性更高,较有较高的实际应用价值。     

Delta算子系统的全程滑模变结构控制

将全程滑模变结构控制思想引入Delta算子系统,给出了一种设计全程滑模控制方法．系统轨线一开始就位于切换面上,消除了非滑动模态运动,从而增强了系统的鲁棒性．利用Delta算子的离散特性求出系统不确定性近似值,从而在控制器设计过程中消去不确定项．仿真结果验证了该方法的有效性．     

Adaptive sliding mode control with moving sliding surface

A continuous sliding mode control with moving sliding surface for nonlinear systems of arbitrary order is presented in this paper. The sliding surface is moved repetitively toward the target sliding surface in order to ensure that the system trajectory is close to the actual surface during the whole control process. The parameters of sliding mode control are tuned by a fuzzy logic. The proposed procedure reduces the time when the system operates in the approaching phase during which the control performance is deteriorated since the system is more susceptible to external disturbances and model uncertainties. The effectiveness of the presented approach is demonstrated on a control of a flexible robot manipulator arm.     

一类不确定混沌系统的模糊滑模控制与同步

针对一类具有不确定项的二阶连续时间混沌系统的定值跟踪控制和自混沌同步及异结构混沌同步问题,提出了一种模糊滑模变结构控制方法,设计了模糊滑模变结构控制器,并从理论上证明了控制系统的稳定性.在该控制器的作用下,可以实现两个相同或不同结构的混沌系统的控制与同步,且不受不确定性的影响,具有很强的鲁棒性.定值跟踪和同步控制的仿真结果表明,该控制器是有效的.     

Terminal sliding mode control of second-order nonlinear uncertain systems

In this paper, a terminal sliding mode control scheme is proposed for second-order nonlinear uncertain systems. By using a function augmented sliding hyperplane, it is guaranteed that the output tracking error converges to zero in finite time which can be set arbitrarily. In addition, the proposed scheme eliminates the reaching phase problem so that the closed-loop system always shows the invariance property to parameter uncertainties. Copyright © 1999 John Wiley & Sons, Ltd.     

无刷直流电动机积分反演模糊滑模控制

针对普通的无刷直流电动机控制策略受电动机本身因素影响,难以达到理想效果的问题,介绍了一种积分反演自适应滑模变结构控制和模糊控制相结合的控制器。该控制器在滑模面中加入积分项,实现了对速度信号的无静差跟踪,提高了系统的稳态精度;用模糊控制器来解决切换控制增益设定只能靠经验的问题;采用模糊控制算法对不确定性进行估计,有效地减小了滑模控制方法带来的抖振;为了进一步提高控制性能,重新设计了趋近律。仿真结果表明,该控制器能够大幅提升无刷直流电动机控制系统的性能。     

牵引车–飞机系统的自适应滑模变结构控制

将自动转向技术应用于牵引车–飞机系统, 并以侧偏位移和相对横摆角作为反馈, 提出一种牵引车四轮主动转向控制策略. 重点考虑牵引车和飞机的侧向和横摆运动, 建立含铰接角在内的牵引车–飞机系统非线性动力学模型. 将牵引车和飞机的轮胎侧偏刚度视为有界的不确定性参数, 将侧向风等因素视为未知的外在扰动, 采用自适应滑模变结构控制方法设计牵引车转向角控制器. 仿真结果表明, 设计出的前、后轮转向控制器能使控制系统同时获得很好的轨迹跟踪性和操纵稳定性, 并且能够有效的克服参数摄动和外界干扰对系统操作性的影响.     

多变量线性模型不确定系统终端滑模分解控制方法

针对线性多变量模型不确定系统系统,提出了一种终端滑模分解控制方法.通过状态变换和去耦合处理将系统转换为块能控标准型,它由值域空间子系统和稳定的零空间子系统组成.提出了特殊的终端滑模超曲面,采用滑模控制策略,使值域空间子系统的状态在有限时间内收敛至平衡点,随后稳定的零空间子系统渐近收敛至平衡点.所提出的方法对于维数较高系统的控制具有较大意义,可简化设计,实现递阶控制.仿真验证了该方法的有效性.     

滑模预测离散变结构控制

研究了不确定离散时间系统的变结构控制设计问题,提出了基于滑模预测思想的离散变结构控制系统设计新思路.该方法综合考虑抖振、鲁棒性以及控制量约束等指标要求,利用当前及过去时刻的滑模信息预测未来时刻的滑模动态,实现了滚动优化求解.仿真结果表明,该方法可有效消除抖振现象,并能够保证闭环系统的鲁棒稳定性.