PEMFC系统过氧比的自适应高阶滑模控制

调节控制质子交换膜燃料电池(PEMFC)空气供给系统过氧比(OER)在理想范围可有效提高PEMFC系统输出净功率.为此,本文首先结合反馈控制理论将非线性PEMFC空气供给系统转化为标准形,并对系统内部动态进行了稳定性分析.然后基于PEMFC空气供给系统系统扩展的状态空间,并提出一种新型的自适应高阶滑模方法.该控制器不需PEMFC空气供给系统模型和干扰/不确定向的界已知的条件,自适应模糊逻辑系统可在线逼近系统中未建模动态.并且通过在线自适应获得的控制增益可保证系统跟踪误差收敛到原点附近的邻域内.最后,结合Lyapunov理论验证了系统的收敛性与稳定性,通过仿真和硬件在环实验进一步验证了该控制器的自适应性与优越性.     

Homogeneity approach to high-order sliding mode design

It is shown that a general uncertain single-input-single-output regulation problem is solvable only by means of discontinuous control laws, giving rise to the so-called high-order sliding modes. The homogeneity properties of the corresponding controllers yield a number of practically important features. In particular, finite-time convergence is proved, and asymptotic accuracy is calculated in a very general way in the presence of input noises, discrete measurements and switching delays. A robust homogeneous differentiator is included in the control structure thus yielding robust output-feedback controllers with finite-time convergence. It is demonstrated that homogeneity features significantly simplify the design and investigation of a new family of high-order sliding-mode controllers. Finally, simulation results are presented.     

Finite-time estimation for linear time-delay systems via homogeneous method

This paper presents a finite-time observer for linear time-delay systems with commensurate delay. Unlike the existing observers in the literature which converge asymptotically, the proposed observer provides a finite-time estimation. This is realised by using the well-known homogeneous technique, and the results are also extended to investigate the estimation problem for linear time-delay systems with unknown inputs. Simulation results are presented in order to illustrate the feasibility of the proposed method.     

Lyapunov function design for finite-time convergence analysis: “Twisting” controller for second-order sliding mode realization

A generalization of the Zubov method of a Lyapunov function design is presented. It is based on the characteristic method application and is related to resolving the first-order partial differential equation of a special type. A successful resolution of this equation guaranties a finite-time convergence for the corresponding dynamics given by an ordinary differential equation with a discontinuous right-hand side. The suggested method is illustrated by its application to the so-called “twisting” controller stability analysis. The constructed Lyapunov function as well as its level line sections is graphically illustrated.     

Nonsmooth finite-time control of uncertain second-order nonlinear systems

Nonsmooth finite-time stabilizing control laws have been developed for the double integrator system. The objective of this paper is to further explore the finite-time tracking control problem of a general form of uncertain second-order affine nonlinear system with the new forms of terminal sliding mode (TSM). Discontinuous and continuous finite-time controllers are also developed respectively without the singularity problem. Complete robustness can be acquired with the former, and enhanced robustness compared with the conventional boundary layer method can be expressed as explicit bounded function with the latter. Simulation results on the stabilizing and tracking problems are presented to demonstrate the effectiveness of the control algorithms.     

燃料电池供气系统的自适应滑模控制

本文针对燃料电池供气系统阴阳极协同控制问题,提出了一种自适应超螺旋滑模控制算法.文章首先建立燃料电池供气系统动态模型,提出了燃料电池供气系统氢气过量比、氧气过量比及阴阳极压差的控制问题,并研究了自适应超螺旋滑模控制算法,通过自适应调节控制增益大小,有效抑制传统滑模控制的抖振现象,同时,利用李雅普诺夫方法证明了该控制方法的稳定性.最后,基于MATLAB建立燃料电池系统仿真平台并进行了仿真研究.仿真结果表明,所提出的方法可以有效控制氢、氧过量比及阴阳极压差,且具有较强的抖振抑制能力,可以保证燃料电池系统的稳定持久运行.     

自适应Terminal滑模控制及其在UASV 再入中的应用

针对传统模糊干扰观测器在观测误差较小时学习速度缓慢的缺点,提出一种新型快速模糊干扰观测器;然后设计了基于快速模糊干扰观测器的自适应Terminal滑模控制方案,严格证明了跟踪误差和观测误差均在有限时间内收敛到非常小的区域;最后,仿真结果表明了所设计干扰观测器的优越性和闭环控制方案的有效性．     

基于三阶超螺旋滑模观测器算法的机器人力矩估计方法

本文研究了六自由度(6-DOF)机器人关节力矩估计问题.为了提高机器人关节力矩估计精度,本文设计了一种三阶超螺旋滑模关节力矩观测器.在对观测器系统进行稳定性分析时,本文设计了一种新的Lyapunov函数证明了观测器闭环系统的稳定性.与已有的机器人力矩观测器结果不同,该力矩观测器仅以机器人关节角度作为观测器输入信号,减少了对机器人系统信息的依赖.最后,以6-DOF工业机器人为对象,开展实验验证.实验结果表明,与传统线性力矩观测器相比,本文提出的滑模力矩观测器估计误差小,验证理论的正确性.     

Continuous finite-time control for robotic manipulators with terminal sliding mode

A continuous finite-time control scheme for rigid robotic manipulators is proposed using a new form of terminal sliding modes. The robustness of the controller is established using the Lyapunov stability theory. Theoretical analysis and simulation results show that faster and high-precision tracking performance is obtained compared with the conventional continuous sliding mode control method.     

基于干扰观测器的终端滑模控制研究

针对一类非线性不确定系统,提出一种带干扰观测器的终端滑模控制TSMC方案.在不考虑外部干扰的影响下,设计了终端滑模控制,保证系统状态在有限时间内收敛到零;当存在干扰时,构造了非线性干扰观测器系统,以在线逼近未知外部干扰,消除其影响.考虑输人通道的不确定性,采用自适应方法在线逼近不确定的上界,并采用Lyapunov方法严格证明了自适应闭环系统的稳定性.对一级倒立摆系统进行仿真,仿真结果表明了所设计控制方案的有效性.     

Observer Based Control of a Missile Seeker System Using Sliding Modes

Control of the seeker is important for successful operation of a missile. This paper proposes robust sliding mode control (SMC) with sliding mode observer (SMO) for the seeker. The SMO is designed for the extended state system wherein the disturbance is considered as an additional state. Estimated disturbance is used to update the SMC law.     

基于指数保性能的比例-积分-时滞滑模观测器设计

传统状态观测器仅基于当前观测误差重构系统状态,未充分利用系统历史观测数据.针对存在匹配扰动的二阶不确定线性系统,设计一种比例-积分-时滞滑模观测器,实现不确定线性系统状态的鲁棒确切估计.首先,设计带记忆滑模函数,形式为历史观测误差和当前观测误差的线性组合,设计参数包括滑模面增益和人工时滞两部分,将滑模面中的时滞项基于泰勒级数展开,将截断误差表示为积分形式;然后,设计带记忆输出反馈等效控制律,采用时滞依赖型Lyapunov泛函,进行滑模动态指数稳定性分析和观测补偿;接着,将观测器参数设计转化为多目标优化问题,优化目标包括:系统状态衰减率、控制代价、高频噪声不灵敏度,基于粒子群算法,在上述3个优化目标间实现设计参数优化整定,在“快、准、稳”方面进行合理折衷选择;最后,在无源网络系统中,验证所提出滑模观测器的可行性和有效性.