Stability and control of nonlinear systems described by retarded functional equations: a review of recent results

This paper reports on recent results in a series of the work of the authors on the stability and nonlinear control for general dynamical systems described by retarded functional differential and difference equations. Both internal and external stability properties are studied. The corresponding Lyapunov and Razuminkhin characterizations for input-to-state and input-to-output stabilities are proposed. Necessary and sufficient Lyapunov-like conditions are derived for robust nonlinear stabilization. In particular, an explicit controller design procedure is developed for a new class of nonlinear time-delay systems. Lastly, sufficient assumptions, including a small-gain condition, are presented for guaranteeing the input-to-output stability of coupled systems comprised of retarded functional differential and difference equations.     

Lyapunov-based boundary feedback control in multi-reach canals

This paper presents a Lyapunov-based approach to design the boundary feedback control for an openchannel network composed of a cascade of multi-reach canals, each described by a pair of Saint-Venant equations. The weighted sum of entropies of the multi-reaches is adopted to construct the Lyapunov function. The time derivative of the Lyapunov function is expressed by the water depth variations at the gate boundaries, based on which a class of boundary feedback controllers is presented to guarantee the local asymptotic closed-loop stability. The advantage of this approach is that only the water level depths at the gate boundaries are measured as the feedback. Supported by the National Natural Science Foundation of China (Grant Nos. 60504026, 60674041), and the National High-Tech Research & Development Program of China (Grant No. 2006AA04Z173)     

基于MFC开发的振动信号监测与分析软件

利用微震测量技术、数据采集技术与信号处理技术可以建立一套监测各种振动信号的系统,广泛应用于各种振动事件的监测与报警。该文介绍了该系统的软件的设计思路与实现的效果。采用VC++,基于MFC类库开发了一套振动信号监测与分析软件,实现数据实时采集、信号分析处理、振动事件判别报警、数据存储回放等功能。     

基于MC9S08GB60的汽车电控悬架控制系统设计

对空气悬架的控制是提高车辆行驶平顺性的有效方法。以MC9S08GB60为控制芯片,以YBL6891H型客车的1/4车辆模型为研究对象,设计了一种客车用空气悬架的电子控制单元。该控制单元通过调整空气弹簧的刚度,降低车身垂直加速度,并采用模糊PID控制算法,提高控制精度。试验表明:该电子控制单元能有效降低车身垂直加速度,在改善车辆行驶平顺性的同时,提高了操纵稳定性。     

柔性支撑Stewart平台自适应交互PID隔振控制

为了实现500 m口径球面射电望远镜(five hundred meter aperture spherical radio telescope, FAST)二级精调稳定平台对馈源舱隔振控制的定位和指向精度, 首先提出了基于并联机构学原理的3维机动目标跟踪预测算法, 对柔性支撑Stewart平台的基座运动进行跟踪预测. 进而,在Stewart平台关节空间设计了自适应交互PID控制器, 引入自适应交互算法解决PID参数的实时调整, 以适应柔性支撑Stewart平台的参数变化对不同控制参数的需求. 采用现代机电系统仿真策略, 对柔性支撑Stewart平台隔振系统的动力学与控制问题进行了仿真, 结果表明: 与传统的PID控制器相比, 自适应交互PID控制器大大改善了隔振效果, 完全满足隔振目标的要求.     

酒精五塔蒸馏工艺过程模拟

针对典型的酒精蒸馏五塔工艺流程及蒸馏过程各物流的组成、压力、温度等工艺条件,分析模拟计算的热力学方法和热力学数据,结果表明,本文所选用的热力学方法SRKM、IDEAL、NRTL及物流组分交互作用参数均适用于酒精蒸馏五塔工艺流程,各工艺物流的模拟数据与设计数据最大误差均小于4.5%,模拟值与设计值比较吻合,不超出设计误差(10%)的限度.     

基础位移激励下椭圆抛物面碳纤维索网的振动

在考虑温度变化的基础上,研究椭圆平面双曲抛物面碳纤维索网在基础激励下的非线性振动问题,建立了椭圆平面双曲抛物面碳纤维索网在基础位移激励下的非线性振动方程,采用Galerkin原理及KBM法求得了椭圆平面双曲抛物面碳纤维索网非线性振动的近似解．在把碳纤维索网与钢丝索网比较的基础上,讨论分析了位移激励、温度、振幅、外阻尼等因素对椭圆平面双曲抛物面碳纤维索网非线性振动的影响,得到了碳纤维索网对温度变化不敏感,而钢丝索网受温度的影响却很大,且碳纤维索网振动特性优于钢丝索网振动特性的结论．     

Controller design for flexible structure vibration suppression with robustness to contacts

Model-based feedback control of vibration in flexible structures can be complicated by the possibility that interaction with an external body occurs. If not accounted for, instability or poor performance may result. In this paper, a method is proposed for achieving robust vibration control of flexible structures under contact. The method uses robust linear state feedback, coupled with a state estimation scheme utilizing contact force measurement. Uncertain contact characteristics are modelled by a sector-bounded non-linear function, such that state feedback gains can be synthesized using a matrix inequality formulation of the Popov stability criterion. A separation theorem is used to establish a robust H₂ cost bound for the closed loop system. Experimental results from a multi-mode flexible structure testbed confirm that vibration attenuation and stability can be maintained over a broad range of contact characteristics, in terms of compliance and clearance.     

Controller synthesis with guaranteed closed-loop phase constraints

In this paper, we present an analysis and synthesis approach for guaranteeing that the phase of a single-input, single-output closed-loop transfer function is contained in the interval [−α,α] for a given α>0 at all frequencies. Specifically, we first derive a sufficient condition involving a frequency domain inequality for guaranteeing a given phase constraint. Next, we use the Kalman–Yakubovich–Popov theorem to derive an equivalent time domain condition. In the case where , we show that frequency and time domain sufficient conditions specialize to the positivity theorem. Furthermore, using linear matrix inequalities, we develop a controller synthesis approach for guaranteeing a phase constraint on the closed-loop transfer function. Finally, we extend this synthesis approach to address mixed gain and phase constraints on the closed-loop transfer function.     

振动抑制与能量俘获专刊序

工程系统中梁结构经常处于各种激励的作用下,因而梁结构在这种环境下不可避免地发生着各种各样的强迫振动.在梁结构发生振动的过程中,其自身会受到的温度、湿度、电磁场、裂纹等众多内外部因素的影响,而众多内外部因素就构成梁的多物理场耦合环境.在多场耦合环境下,Green函数法作为一种解析方法在研究梁的多场耦合振动问题方面具有优势,有利于讨论力、电、热、裂纹等因素作用下梁的振动特性和多场耦合特性.Green函数法相比于模态叠加法,优点在于能够得到完整且精度较高的解析解,具有收敛性好,运算快的特点.本文主要阐述Green函数在梁的强迫振动、热力耦合振动、力电耦合振动、裂纹梁振动等研究问题上取得了大量的理论和工程研究成果.本文以裂纹为内因,热、力、电为外因进行分类,阐述了在内外因影响下梁的强迫振动问题Green函数解的研究现状,从而让读者进一步系统性的了解Green函数法在振动领域中的广泛应用,以及了解该方法本身的特色和优势奠定基础.