振动控制设计中的等价鲁棒性极点配置问题

本文首先用Householder变换将状态反馈鲁棒极点配置问题做一等价转换，然后基于以鲁棒度量尽可能小为准则确定相应的非线性规划问题，应用一种优化方法得到所求非线性规划问题的总体优化解．由于经过转换后的等价状态反馈鲁棒极点配置问题中的状态矩阵为上Hessenberg矩阵形式，这有利于迭代过程中的减少计算量，为工程应用开辟了一条新途径．     

结构控制中输出反馈鲁棒极点配置优化方法

给出了输出反馈鲁棒性极点配置的数学描述和数值解法,基于任何结构控制都要求极点对系统矩阵元素的改变不敏感,通过选择鲁棒度量,并以其尽可能小为判据,用优化方法寻求近似解,最后将该方法应用于一个大跨度桥在确定的运动载荷作用下的控制,计算结果表明方法合理、有效。     

Active control of time-delay in cutting vibration

The system dynamics of turning processes can be described by a delay differential equation. How to improve the stability and suppress the vibration of cutting is of an interesting topic. In this paper, a multiple time-delay controller is developed based on discrete optimal control method for the turning vibrations control. Numerical simulations are carried out to verify the efficiency of the controller. Results indicate the designed controller can suppress the cutting vibration efficiently and improve the stability of the cutting processes. The influence of designed time-delay and sampling time on the control performance is also discussed.     

一种逆优化设计振动控制作动器的数目和位置的方法

在建立了悬臂梁上粘贴压电陶瓷片实现振动控制的动力学方程的基础上,研究了一种逆优化设计作动器/传感器的数目和位置的方法:用压电陶瓷作为自传感作动器,以悬臂梁的振动控制为研究对象,要求振动控制系统具有一定的模态阻尼比,并以作动器控制力最小为目标函数,优化设计作动器/传感器的数目和位置.最后通过数值算例证明了该方法的有效性.     

具有区域极点约束的柔性梁鲁棒H∞振动主动控制

本文基于H∞控制理论研究了传感器和作动器非同位配置情况下,柔性悬臂梁的多模态振动抑制问题。采用频域辨识方法获取低阶名义模型,合理选取加性不确定权函数和性能权函数,将鲁棒H∞控制问题转化为标准H∞控制问题。为了避免H∞控制器设计过程中产生的零极点对消问题,在求解过程中引入区域极点约束。比较了鲁棒H∞控制器和不考虑高阶未建模动态的非鲁棒H∞控制器的控制效果,实验结果表明,设计的鲁棒H∞控制器能够有效抑制柔性梁的前三阶模态振动,而且不会发生溢出问题。     

压电桁架作动器/传感器优化配置算法研究

针对自适应压电桁架结构振动控制,建立了作动器/传感器优化配置数学模型,并提出一种优化配置的新方法。为了减少结构分析次数,该方法将近似概念、对偶法和遗传算法相结合,首先采用多点近似技术建立原问题的序列近似问题,再对近似问题中的作动器/传感器位置离散变量和控制增益连续变量采用遗传算法和对偶方法分别寻优的分层优化策略。为了提高近似问题对原问题的逼近程度,本文提出一种适于离散变量结构优化的分段多点近似函数。算例表明本文方法能够以很少的结构分析次数得到最优解。     

滞变智能隔震结构的序列最优控制算法

将地震波简化为一系列脉冲,在每个时间步长上重新构造控制目标函数,建立了一种新的时域内的结构振动最优控制算法,并在滞变模型的智能隔震结构中用状态转移法加以实现.文中采用Bouc-Wen模型描述结构恢复力,并利用等效线性化方法处理非线性运动方程,分别导出了状态反馈和输出加权的两种表达式.文末选用作者承担设计过的实际隔震建筑中的一个单体工程作为算例,比较了输入三种不同地震波时各种算法的控制效果.结果表明,在相同控制能量下,本文算法对滞变结构能有效地削减响应峰值,综合性能优于现有的两种时域内的结构最优控制算法.     

STOCHASTIC OPTIMAL CONTROL OF HYSTERETIC SYSTEMS UNDER EXTERNALLY AND PARAMETRICALLY RANDOM EXCITATIONS

A stochastic optimal control method for nonlinear hysteretic systems under exter-nally and/or parametrically random excitations is presented and illustrated with an example ofhysteretic column system.A hysteretic system subject to random excitation is first replaced bya nonlinear non-hysteretic stochastic system.An It stochastic differential equation for the to-tal energy of the system as a one-dimensional controlled diffusion process is derived by usingthe stochastic averaging method of energy envelope.A dynamical programming equation is thenestablished based on the stochastic dynamical programming principle and solved to yield the op-timal control force.Finally,the responses of uncontrolled and controlled systems are evaluatedto determine the control efficacy.It is shown by numerical results that the proposed stochasticoptimal control method is more effective and efficient than other optimal control methods.     

OPTIMAL CONTROL OF NONLINEAR VIBRATION RESONANCES OF SINGLE-WALLED NANOTUBE BEAMS

An optimal time-delay feedback control method is provided to mitigate the primary resonance of a single-walled carbon nanotube （SWCNT） subjected to a Lorentz force excited by a longitudinal magnetic field. The nonlinear governing equations of motion for the SWCNT under longitudinal magnetic field are derived and the modulation equations are obtained by using the method of multiple scales. The regions of the stable feedback gain are worked out by using the stability conditions of eigenvalue equation. Taking the attenuation ratio as the objective function and the stable vibration regions as constrained conditions, the optimal control parameters are worked out by using minimum optimal method. The optimal controllers are designed to control the dynamic behaviors of tile nonlinear vibration systems. It is found that the optimal feedback gain obtained by the optimal method can enhance the control performance of the primary resonance of SWCNT devices.     

车载系统主被动联合振动控制研究

针对车载系统行进过程中产生的结构振动,提出被动隔振和主动减振相结合的方法对结构弹性振动和刚体振动进行抑制．一方面,针对结构弹性振动,在车载结构和车体之间安装隔振装置,选择合适的隔振器参数,对车载结构的弹性振动进行隔离．另一方面,结合刚体振动抑制的需求,进一步研究小阻尼隔振器带来的结构低频刚体振动．对隔振器和车载结构形成的新系统采用主动控制方法设计最优控制器,对这一类过驱动控制系统进行主动控制研究．通过主被动控制结合,实现车载结构全频段范围内的振动抑制,能够将系统刚体振动的位移均方根值抑制到无控制时的5%以下．