实时混合试验的自适应线性二次高斯时滞补偿方法研究

时滞补偿是实时混合试验(RTHS)成功非常关键的环节,传统时滞补偿方法主要针对建筑结构实时混合试验设计,主要关注低频的时滞补偿能力,但航空、交通等领域的结构频率较高,甚至超过10 Hz,高频信号对结构响应的影响不可忽略,较高的结构频率要求更小的时滞保证稳定性,对其进行实时混合试验需要在较宽频带上实现时滞补偿。该文提出了自适应线性二次高斯算法(ALQG)提高对高频信号的时滞补偿能力和稳定性。采用不同轨道梁截面刚度参数的桥梁作为数值子结构进行实时混合试验,检验ALQG算法在车桥耦合系统RTHS中时滞补偿的有效性和稳定性,并与采用ATS的结果进行比较。试验结果表明:ALQG算法能够较好补偿RTHS中的高频信号,补偿效果优于ATS算法。     

负荷节点电压稳定性就地安全指标研究

在讨论一种二次方程判别式指标即线路稳定因子的基础上,利用电压方程的有解判别式,提出了三种适用于就地电压控制的节点电压稳定指标,即电压实部判别式指标ＡＶＲＰ,ＡＶＲＱ和电压幅值判别式指标ＡＶＭ。计算机仿真结果表明,这三种指标的效果与利用全局量的灵敏度指标相仿,能够准确地反映负荷节点的电压稳定性,并具有良好的线性性质。     

遗传算法在受电弓主动控制器中的应用

为了提高高速列车的受流能力, 降低离网率, 本文以线性二次型最优控制为基础设计了受电弓的主动控制器. 针对线性二次型最优控制中权矩阵Q和R的取值问题, 采用遗传算法进行优化, 通过系统的动态性能指标计算出系统的目标函数并得到权矩阵的最优值, 解决了传统线性二次型最优控制中权矩阵由经验设计所带来的全局最优难实现的问题. 通过仿真分析不同时速下接触网的刚度变化和弓网之间接触压力的参数变化, 本文设计的主动控制器能够很好的减小和控制接触压力的波动, 提高了弓网系统的动态性能指标.     

Regional output feedback stabilization of semilinear time‐fractional diffusion systems in a parallelepipedon with control constraints

This article is concerned with the regional output feedback stabilization problems for semilinear time‐fractional diffusion systems in a 1≤n?dimensional parallelepipedon with control inequality constraints. For this, the spectrum decomposition method is used to derive a finite‐dimensional fractional ordinary differential equation (ODE) system that captures the dominant dynamics of the considered system. With this ODE system, we propose a finite‐dimensional fractional compensator to guarantee that the constrained closed‐loop semilinear systems are Mittag‐Leffler stable in some subregions of their evolution domains. An example is finally included to illustrate our results.     

On the design of nonautonomous fixed‐time controllers with a predefined upper bound of the settling time

Recently, there has been a great deal of attention in a class of finite‐time stable dynamical systems, called fixed‐time stable, that exhibit uniform convergence with respect to its initial condition, that is, there exists an upper bound for the settling‐time (UBST) function, independent of the initial condition of the system. Of particular interest is the development of stabilizing controllers where the desired UBST can be selected a priori by the user since it allows the design of controllers to satisfy real‐time constraints. Unfortunately, existing methodologies for the design of controllers for fixed‐time stability exhibit the following drawbacks: on the one hand, in methods based on autonomous systems, either the UBST is unknown or its estimate is very conservative, leading to over‐engineered solutions; on the other hand, in methods based on time‐varying gains, the gain tends to infinity, which makes these methods unrealizable in practice. To bridge these gaps, we introduce a design methodology to stabilize a perturbed chain of integrators in a fixed‐time, with the desired UBST that can be set arbitrarily tight. Our approach consists of redesigning autonomous stabilizing controllers by adding time‐varying gains. However, unlike existing methods, we provide sufficient conditions such that the time‐varying gain remains bounded, making our approach realizable in practice.     

Inertia‐free saturated output feedback attitude stabilization for uncertain spacecraft

In this article, the problem of robust output feedback attitude stabilization control for a class of uncertain spacecraft is investigated, which contains external disturbances, model parameter uncertainty, unknown and uncertain inertia, controller's gain perturbations, measurement errors, and input saturation. The aim of this work is to design a dynamic output feedback controller such that the closed‐loop attitude system is stabilized, while the H_∞ norm of the transfer function from the lumped disturbance and measurement error to output is ensured to be less than a pre‐specified disturbance attenuation level, and the actual control input is confined into a certain range simultaneously. Based on the Lyapunov theory, the existence conditions of such controller are derived in terms of linear matrix inequalities. It is worth mentioning that the controller's additive and multiplicative perturbations are accounted for respectively. An illustrative example is given to demonstrate the effectiveness and advantage of the proposed control design method.     

Semiglobal stabilization of linearly uncontrollable and unobservable nonlinear systems via sampled‐data control

This article investigates the problem of using sampled‐data state/output feedback to semiglobally stabilize a class of uncertain nonlinear systems whose linearization around the origin is neither controllable nor observable. For any arbitrarily large bound of initial states, by employing homogeneous domination approach and a homogeneous version of Gronwall‐Bellman inequality, a sampled‐data state feedback controller with appropriate sampling period and scaling gain is constructed to semiglobally stabilize the system. In the case when not all states are available, a reduced‐order sampled‐data observer is constructed to provide estimates for the control law, which can guarantee semiglobal stability of the closed‐loop system with carefully selected sampling period and scaling gain.     

Adaptive Linear Quadratic Regulator for Continuous-Time Systems With Uncertain Dynamics

In this paper, adaptive linear quadratic regulator (LQR) is proposed for continuous-time systems with uncertain dynamics. The dynamic state-feedback controller uses input-output data along the system trajectory to continuously adapt and converge to the optimal controller. The result differs from previous results in that the adaptive optimal controller is designed without the knowledge of the system dynamics and an initial stabilizing policy. Further, the controller is updated continuously using input-output data, as opposed to the commonly used switched/intermittent updates which can potentially lead to stability issues. An online state derivative estimator facilitates the design of a model-free controller. Gradient-based update laws are developed for online estimation of the optimal gain. Uniform exponential stability of the closed-loop system is established using the Lyapunov-based analysis, and a simulation example is provided to validate the theoretical contribution.      

改性钠羧甲基纤维素加固粉砂土水稳性及稳定机理分析

土壤加固剂可改善土体理化特性。选择改性钠羧甲基纤维素(M-CMC)为加固剂,以粉砂土为加固对象,研究M-CMC加固粉砂土水稳性及稳定机理。开展不同加固剂掺量下加固土湿化崩解试验进行崩解状态监测和完全崩解系数(C_R)测试,结果显示:随加固剂掺量的增加,试样开始崩解的时间延时、崩解产物中粗粒含量增加、悬浮粒减少,C_R快速降低,当掺量达0.9%时,加固土样无崩解。进一步对试样的渗透性、基质吸力、抗剪强度、化学组分及微观结构进行测试,结果显示:随加固剂掺量的增加,加固土样团聚体粒径增大、渗透性减小、基质吸力增大、抗剪强度提高。研究成果表明:M-CMC在土颗粒表面产生“包裹效应”、相邻土颗粒间产生“吸附效应”、相隔土颗粒间产生“连接效应”,使得土颗粒由镶嵌点接触转变为面式接触和链式连接,形成网状胶结结构团聚体,从而提高加固土水稳性。     

切换自治系统的动态输出反馈镇定

本文研究离散时间切换线性自治系统的输出反馈镇定问题. 在切换系统可观测的假设下, 设计具有多线性 时变增益的动态观测器, 实现有限时间状态估计. 在此基础上, 设计多路径动态输出反馈切换策略, 实现闭环系统指 数收敛.