Adaptive saturated tracking control for solid launch vehicles in ascending based on differential inclusion stabilization

The large-range uncertainties of specific impulse,mass flow per second,aerodynamic coefficients and atmospheric density during rapid turning in solid launch vehicles(SLVs) ascending leads to the deviation of the actual trajectory from the reference one.One of the traditional trajectory tracking methods is to observe the uncertainties by Extended State Observer(ESO) and then modify the control commands.However,ESO cannot accurately estimate the uncertainties when the uncertainty ranges are large,which reduces the guidance accuracy.This paper introduces differential inclusion(DI) and designs a controller to solve the large-range parameter uncertainties problem.When above uncertainties have large ranges,it can be combined with the ascent dynamic equation and described as a DI system in the mathematical form of a set.If the DI system is stabilized,all the subsets are stabilized.Different from the traditional controllers,the parameters of the designed controller are calculated by the uncertain boundaries.Therefore,the controller can solve the problem of large-range parameter uncertainties of in ascending.Firstly,the ascent deviation system is obtained by linearization along the reference trajectory.The trajectory tracking system with engine parameters and aerodynamic uncertainties is described as an ascent DI system with respect to state deviation,which is called DI system.A DI adaptive saturation tracking controller(DIAST) is proposed to stabilize the DI system.Secondly,an improved barrier Lyapunov function(named time-varying tangent-log barrier Lyapunov function) is proposed to constrain the state deviations.Compared with traditional barrier Lyapunov function,it can dynamically adjust the boundary of deviation convergence,which improve the convergence rate and accuracy of altitude,velocity and LTIA deviation.In addition,the correction amplitudes of angle of attack(AOA) and angle of sideslip(AOS) need to be limited in order to guarantee that the overload constraint is not violated during actual flight.In this paper,a fixed time adaptive saturation compensation auxiliary system is designed to shorten the saturation time and accelerate the convergence rate,which eliminates the adverse effects caused by the saturation.Finally,it is proved that the state deviations are ultimately uniformly bounded under the action of DIAST controller.Simulation results show that the DI ascent tracking system is stabilized within the given uncertainty boundary values.The feasible bounds of uncertainty is broadened compared with Integrated Guidance and Control algorithm.Compared with Robust Gain-Scheduling Control method,the robustness to the engine parameters are greatly improved and the control variable is smoother.

DESIGN AND ANALYSIS FOR NEW DISCRETE TRACKING-DIFFERENTIATORS

In this paper,some kinds of linear and nonlinear tracking-differentiators are designed by using suitable exponent functions instead of switch functions,and the stability of these tracking-differentiators is proved.From the result of simulations,it is manifest that the tracking speeds of these kinds of linear and nonlinear tracking-differentiators are very high,and their design procedures are simple.

Stable Transition of Quadruped Rhythmic Motion Using the Tracking Differentiator

Since the quadruped robot possesses predominant environmental adaptability,it is expected to be employed in nature environments. In some situations,such as ice surface and tight space,the quadruped robot is required to lower the height of center of gravity( COG) to enhance the stability and maneuverability. To properly handle these situations,a quadruped controller based on the central pattern generator( CPG) model,the discrete tracking differentiator( TD) and proportional-derivative( PD) sub-controllers is presented. The CPG is used to generate basic rhythmic motion for the quadruped robot. The discrete TD is not only creatively employed to implement the transition between two different rhythmic medium values of the CPG which results in the adjustment of the height of COG of the quadruped robot,but also modified to control the transition duration which enables the quadruped robot to achieve the stable transition. Additionally,two specific PD sub-controllers are constructed to adjust the oscillation amplitude of the CPG,so as to avoid the severe deviation in the transverse direction during transition locomotion. Finally,the controller is validated on a quadruped model. A tunnel with variable height is built for the quadruped model to travel through. The simulation demonstrates the severe deviation without the PD sub-controllers,and the reduced deviation with the PD sub-controllers.

Design of a Modified Tracking Differentiator

A modified tracking differentiator is proposed. Firstly, a nonlinear odd exponent continuous function is adopted which is only stable at one equilibrium point and proved the global asymptotic stability of the modified tracking differentiator by select a Lyapunov function. Through combining of the nonlinear and linear function properly, it can be sure that the state converges to the equilibrium point with high speed automatically no matter that the state was far away from the equilibrium point or near to it, and it can prevent the chattering.?Simulation results show that the modified tracking differentiator tracking results?are?superior to the classical nonlinear tracking differentiator, and the response?of state variables tracking differentiator estimated?is?almost coincide with the real state of the variables of the given system.

小分子药物TD-198946促进大鼠骨髓间充质干细胞的成骨分化

背景:小分子药物TD-198946是一种能诱导干细胞形成软骨的高效软骨生成剂,但目前尚不清楚其对成骨分化的作用。目的:探讨小分子药物TD-198946促进大鼠骨髓间充质干细胞成骨分化的效果及其作用机制。方法:提取SD大鼠骨髓间充质干细胞,利用CCK-8法评估不同浓度TD-198946对骨髓间充质干细胞增殖的影响,确定TD-198946的最佳使用浓度;然后加入最适浓度TD-198946和成骨分化培养基对骨髓间充质干细胞进行成骨诱导;成骨诱导第3天用qRT-PCR检测碱性磷酸酶、Runt相关转录因子2、骨桥蛋白、骨钙蛋白、Ⅰ型胶原基因表达;成骨诱导第7天进行碱性磷酸酶染色,Western blot检测Runt相关转录因子2、Ⅰ型胶原、AKT、p-AKT、PI3K、p-PI3K蛋白表达;成骨诱导第21天进行茜素红染色。结果与结论:①CCK-8实验结果显示,100 nmol/L TD-198946能促进骨髓间充质干细胞增殖;②碱性磷酸酶染色及茜素红染色结果显示,TD-198946能促进大鼠骨髓间充质干细胞的成骨分化;③qRT-PCR结果显示,TD-198946可促进成骨相关基因碱性磷酸酶、Runt相关转录因子2、骨桥蛋白、骨钙蛋白、Ⅰ型胶原的表达;④Western blot结果显示,TD-198946可促进Runt相关转录因子2、Ⅰ型胶原以及p-PI3K、p-AKT蛋白表达。结果表明,小分子药物TD-198946可能通过激活PI3K/AKT信号通路,诱导大鼠骨髓间充质干细胞成骨分化。

基于改进SMO与变参数LTD的PMSM无传感器控制

为解决基于滑模观测器的PMSM无感控制系统抖振大、响应速度慢等问题,在转速环PI控制器前引入变参数线性跟踪微分器,实现由I/F起动向转速-电流双闭环控制模式的平稳过渡。采用sigmoid函数替换sign函数消除由sign函数在滑模面切换给等效反电动势带来的高次谐波;根据反电动势与电机转速关系以自适应滑模增益提高系统响应速度,并利用李雅普诺夫稳定性判据分析改进后算法稳定性。在仿真平台以及PMSM控制系统上进行控制算法验证,表明了所提出的改进PMSM无传感器控制策略对抑制系统抖振与提高系统的响应速度具有良好的效果。

A Newly Developed Differential Steering Rubber-tracked Agriculture Tractor

This paper introduces a newly developed ag tractor.The differential steering system and rubber tracks are described in detail.

Convergence Track Based Adaptive Differential Evolution Algorithm(CTbADE)

One of the challenging problems with evolutionary computing algorithms is to maintain the balance between exploration and exploitation capability in order to search global optima.A novel convergence track based adaptive differential evolution(CTbADE)algorithm is presented in this research paper.The crossover rate and mutation probability parameters in a differential evolution algorithm have a significant role in searching global optima.A more diverse population improves the global searching capability and helps to escape from the local optima problem.Tracking the convergence path over time helps enhance the searching speed of a differential evolution algorithm for varying problems.An adaptive powerful parameter-controlled sequences utilized learning period-based memory and following convergence track over time are introduced in this paper.The proposed algorithm will be helpful in maintaining the equilibrium between an algorithm’s exploration and exploitation capability.A comprehensive test suite of standard benchmark problems with different natures,i.e.,unimodal/multimodal and separable/non-separable,was used to test the convergence power of the proposed CTbADE algorithm.Experimental results show the significant performance of the CTbADE algorithm in terms of average fitness,solution quality,and convergence speed when compared with standard differential evolution algorithms and a few other commonly used state-of-the-art algorithms,such as jDE,CoDE,and EPSDE algorithms.This algorithm will prove to be a significant addition to the literature in order to solve real time problems and to optimize computationalmodels with a high number of parameters to adjust during the problem-solving process.

基于L_1-ITD的尾座式无人机姿态控制

针对尾座式无人机在垂直起降(VTOL)阶段对风干扰敏感的问题,提出了一种基于L1-ITD的尾座式无人机姿态控制方法。建立了垂直起降阶段尾座式无人机六自由度非线性模型,设计了基于L1自适应的无人机姿态控制器,可抑制扰动对系统性能的影响,实现垂直起降阶段存在风干扰和模型不确定时对无人机姿态的良好控制。在此基础上,针对L1自适应控制方法对量测噪声敏感及无法直接获取有效微分信号的问题,引入改进跟踪微分器,在快速精确跟踪信号的同时抑制了量测噪声的影响。仿真结果验证了所提方法的有效性。

On a novel tracking differentiator design based on iterative learning in a moving window

Differential signals are key in control engineering as they anticipate future behavior of process variables and therefore are critical in formulating control laws such as proportional-integral-derivative(PID).The practical challenge,however,is to extract such signals from noisy measurements and this difficulty is addressed first by J.Han in the form of linear and nonlinear tracking differentiator(TD).While improvements were made,TD did not completely resolve the conflict between the noise sensitivity and the accuracy and timeliness of the differentiation.The two approaches proposed in this paper start with the basic linear TD,but apply iterative learning mechanism to the historical data in a moving window(MW),to form two new iterative learning tracking differentiators(IL-TD):one is a parallel IL-TD using an iterative ladder network structure which is implementable in analog circuits;the other a serial IL-TD which is implementable digitally on any computer platform.Both algorithms are validated in simulations which show that the proposed two IL-TDs have better tracking differentiation and de-noise performance compared to the existing linear TD.

Fast and Simple Motion Tracking Unit with Motion Estimation

Surveillance system using active tracking camera has no distance limitation of surveillance range compared to supersonic or sound sensors.However,complex motion tracking algorithm requires huge amount of computation,and it often requires expensive DSPs or embedded processors.This paper proposes a novel motion tracking unit based on different image for fast and simple motion tracking.It uses configuration factor to avoid noise and inaccuracy.It reduces the required computation significantly,so as to be implemented on Field Programmable Gate Array(FPGAs)instead of expensive Digital Signal Processing(DSPs).It also performs calculation for motion estimation in video compression,so it can be easily combined with surveillance system with video recording functionality based on video compression.The proposed motion tracking system implemented on Xilinx Vertex-4 FPGA can process 48 frames per second,and operating frequency of motion tracking unit is 100 MHz.

Fuzzy Modeling, Tracking Control and Synchronization of the Rossler's Chaotic System

In this paper, a novel method to model, track control and synchronize the Rossler’s chaotic system is proposed. The fuzzy logical system is used so that the fuzzy inference rule is transferred into a type of variable coefficient nonlinear ordinary differential equation. Consequently the model of the chaotic system is obtained. Then a fuzzy tracking control and a fuzzy synchronization for chaotic systems is proposed as well. First, a known tracking control for the Rossler’s system is used in this paper. We represent the Rossler’s chaotic and control systems into fuzzy inference rules. Then the variable coefficient nonlinear ordinary differential equation is also got. Simulation results show that such an approach is effective and has a high precision.

Application of linear active disturbance rejection control for photoelectric tracking system

Dynamic characteristics and tracking precision are studied in the photoelectric tracking system and a linear active disturbance rejection control( LADRC) scheme is proposed for position loop. A current and speed controller is designed by a transfer function model,which is obtained by adaptive differential evolution. Model error,friction and nonlinear factor existing in position loop are treated as ‘disturbance',which is estimated and compensated by generalized proportional integral( GPI)observer. Comparative results are provided to demonstrate the remarkable performance of the proposed method. It turns out that the proposed scheme is successful and has superior features,such as quick dynamic response,low overshoot and high tracking precision. Furthermore,with the proposed method,friction is suppressed effectively.

基于TD-LTE参考信号仿真结果的基站电磁安全性分析

为了简化TD-LTE基站(工作频率为1885~1905 MHz)电磁环境的安全性评估过程,本文首先提出了基于射线跟踪的建模方法,仿真了TD-LTE基站的参考信号(RS)强度,并通过基站RS接收功率的实地测量结果对仿真结果进行验证,以证明本论文所提出的建模方法的可靠性。其次,提出基于运用RS信号强度仿真结果进行基站电磁环境电场强度的计算方法,根据仿真结果进一步结合基站配置参数、指标和链路损耗值,计算出基站主辐射方向上不同位置观测点处的电场强度。计算结果表明:当资源利用率到达最大值时,TD-LTE基站天线主辐射方向上的电场强度为0.008~0.29 V/m,该值分别低于ICNIRP和国标GB8702-2014公众暴露控制限值207倍和41倍以上,表明了该TD-LTE基站电磁环境的安全性。

基于速度控制的机器人轨迹摩擦补偿控制算法

目前机器人已在工业生产制造中得到广泛的应用,但由于机器人系统中关节摩擦等因素的影响,机器人的轨迹跟踪精度难以满足高精度生产的需求。为减少机械结构中非线性摩擦因素和系统中未建模干扰等因素对机器人运行稳定性和加工精度的影响,文中提出了一种速度模式下的摩擦补偿控制算法。首先,基于傅里叶级数和5次多项式混合的方式设计最优激励轨迹,通过最小二乘法完成动力学参数的预辨识,并利用Levenberg-Marquardt法对预辨识结果进行迭代寻优,从而建立更为精确的机器人动力学模型;然后,基于李雅普诺夫方法设计机器人轨迹跟踪控制算法,将最速离散跟踪微分器中采集的关节角度输入所设计的轨迹跟踪控制算法中,得到实时的关节速度补偿值,将补偿值实时输入机器人中实现摩擦补偿控制;最后,以六自由度串联机器人为实验对象,对所设计的摩擦补偿控制算法进行实验验证。结果表明,相对于摩擦补偿前,机器人的末端轨迹跟踪精度提升约35%,从而验证了文中所提算法在机器人摩擦补偿领域的有效性。

基于微分平坦的板球系统反步滑模控制

为改善板球系统轨迹跟踪控制误差大,控制精度低的问题,提出了一种基于微分平坦的板球系统反步滑模控制方法。首先基于欧拉-拉格朗日方程建立板球系统的运动学模型,通过合理简化得到解耦线性状态空间模型。以X轴方向控制器设计为例,利用微分平坦技术获得系统的目标状态量以及前馈控制量,建立误差系统,进而采用反步法实现对误差系统的滑模控制,利用李雅普诺夫稳定性理论证明了闭环系统的稳定性。算法中使用双曲正切函数抑制滑模的抖动,实现了对板球系统的轨迹高精度跟踪控制。仿真实验结果表明,该方法控制精度高,具有良好的控制效果。

基于联邦学习的中心化差分隐私保护算法研究

近年来,联邦学习以独特的训练方式打破了数据“孤岛”,因此受到越来越多的关注。然而在训练全局模型时,联邦学习易受到推理攻击,可能会泄露参与训练成员的一些信息,产生严重的安全隐患。针对联邦训练过程中半诚实/恶意客户端造成的差分攻击,文章提出了基于中心化的差分隐私联邦学习算法DP-FEDAC。首先,优化联邦加速随机梯度下降算法,改进服务器的聚合方式,计算参数更新差值后采用梯度聚合方式更新全局模型,以提升稳定收敛;然后,通过对聚合参数添加中心化差分高斯噪声隐藏参与训练的成员贡献,达到保护参与方隐私信息的目的,同时还引入时刻会计(MA)计算隐私损失,进一步平衡模型收敛和隐私损失之间的关系;最后,与Fed AC、分布式MB-SGD、分布式MB-AC-SGD等算法做对比实验,评估DP-FEDAC的综合性能。实验结果表明,在通信不频繁的情况下,DP-FEDAC算法的线性加速最接近Fed AC,远优于另外两种算法,拥有较好的健壮性;此外DP-FEDAC算法在保护隐私的前提下能够达到与Fed AC算法相同的模型精度,体现了算法的优越性和可用性。

低附着路况条件下车辆横向稳定性控制

针对在冰雪环境下车辆横向稳定控制,为解决在低附着、分布不均的路面情况下车辆对参考轨迹的稳定跟踪问题,设计了基于神经网络调节的模糊PID(Proportional-Integral-Differential)制器,以及基于线性化车辆模型的模型预测控制(MPC:Model Predictive Controll)。以路面附着系数及车辆速度作为输入构建BP(Back-Propagation)神经网络,输出调节系数优化模糊PID控制器控制性能;设计了十自由度模型表征车辆在冰雪环境下的动力学特性,使用MPC实现车辆横向稳定控制。使用CarSim/Simulink进行联合仿真实验,结果表明该控制器能显著提高车辆轨迹跟踪性能。

基于领航-跟随法的多机器人编队控制

编队控制是多机器人系统研究的核心问题之一,具有广泛的研究价值。针对编队问题,通过对轮式差分驱动机器人运动模型进行分析,并设计相应的控制器。在传统的领航-跟随模型上,引入“虚拟机器人”,将跟随者机器人对领航者机器人的轨迹跟踪转换为跟随者对“虚拟领航者”的轨迹跟踪。首先,预设定实际领航者机器人的行进路径,由实际领航者引导运动方向的运动轨迹被视为主轨迹,虚拟机器人通过数据产生参考点从而生成参考轨迹,跟随者机器人通过对参考轨迹的跟踪与“虚拟领航者”构成轨迹误差跟踪系统。然后通过Lyapunov的控制理论验证控制器的理论可行性,最后在MATLAB/Simulink仿真平台进行实验,通过改变控制参数来使机器人形成相应的期望队形,在较短的时间内,跟随机器人对参考轨迹的跟踪误差趋向于0且速度收敛,验证了编队系统的可行性。

差动转向无人车轨迹跟踪和车身姿态控制研究

针对分布式驱动无人车转向时车身在离心力作用下外倾,引起内侧车轮载荷减小,严重时会导致差动转向失效乃至车辆侧翻等问题,提出了一种差动转向无人车的轨迹跟踪和车身姿态控制方法;该控制方法可通过差动转向实现无人车轨迹跟踪,同时通过主动悬架实现转向时车身主动内倾来保证差动转向有效性,提高了无人车的操纵稳定性。建立考虑侧倾因素的车辆模型及参考模型,通过分数阶单点预瞄驾驶员模型得到了参考模型跟踪期望路径所需的参考前轮转角;基于此,设计了H_(∞)鲁棒控制器,通过控制差动转向无人车的横摆角速度和车身内倾角,分别跟踪参考模型提供的参考值,得到了所需的差动力矩及左右侧主动悬架控制力。研究结果表明:所设计的分数阶单点预瞄驾驶员模型和H_(∞)鲁棒控制器能有效保证差动转向无人车实现轨迹跟踪,同时实现了车身姿态控制。