Infinite horizon quadratic control of linear singularly perturbed systems with small state delays: an asymptotic solution of Riccati-type equations

Email: valery{at}techunix.technion.ac.il Received on January 31, 2006; Accepted on October 5, 2006 An infinite horizon linear-quadratic optimal control problemfor a singularly perturbed system with multiple point-wise anddistributed small delays in the state variable is considered.The set of Riccati-type equations, associated with this problemby the control optimality conditions, is studied. Since thesystem in the control problem is singularly perturbed, the equationsof this set are also perturbed by a small parameter of the singularperturbations. The zero-order asymptotic solution to this setof equations is constructed and justified. Based on this asymptoticsolution, parameter-free sufficient conditions for the existenceand uniqueness of solution to the original optimal control problemare established.     

More generalized hybrid variational principle and corresponding finite element model

According to recent studies of the generalized variational principle by Professor Chien Weizang, the more generalized hybrid variational principle for finite element method is given, from which a new kind of the generalized hybrid element model is etablished.Using the thin plate bending element with varying thickness as an example, we compare various hybrid elements based on different generalized variational principles.     

Delay-dependent dissipativity of singular time-delay systems

Email: msmahmoud{at}kfupm.edu.sa Received on September 21, 2007; Revision received March 10, 2008. Accepted on April 30, 2008 In this paper, new results are established for the delay-dependentproblems of dissipative analysis and state-feedback synthesisof singular time-delay (STD) systems with polytopic uncertainties.The developed results for the nominal singular system encompassavailable results on approach, passivity and positive realnessfor STD systems as special cases. All the sufficient stabilityconditions are cast as linear matrix inequality-based feasibilitytests. Robust dissipativity results are also derived. Numericalexamples are provided.     

Strip silicon waveguide for code synchronization in all-optical analog-to-digital conversion based on a lumped time-delay compensation scheme

An all-optical analog-to-digital converter(ADC) based on the nonlinear effect in a silicon waveguide is a promising candidate for overcoming the limitation of electronic devices and is suitable for photonic integration. In this paper, a lumped time-delay compensation scheme with 2-bit quantization resolution is proposed. A strip silicon waveguide is designed and used to compensate for the entire time-delays of the optical pulses after a soliton self-frequency shift(SSFS) module within a wavelength range of 1550 nm–1580 nm. A dispersion coefficient as high as-19800 ps/(km·nm) with ±0.5 ps/(km·nm)variation is predicted for the strip waveguide. The simulation results show that the maximum supportable sampling rate(MSSR) is 50.45 GSa/s with full width at half maximum(FWHM) variation less than 2.52 ps, along with the 2-bit effectivenumber-of-bit and Gray code output.     

电机温度时滞耦合系统自抗扰控制仿真研究

电机温度过高会造成绝缘性能老化,电机安全性能下降。电机控制系统是典型的非线性系统,电机温度也因此具有时滞性和耦合性的特点,难以建立准确的数学模型。传统的方法对电机温度的控制精度较差,从而导致电机温度失控。为此,提出基于BP神经网络自抗扰控制算法的电机时滞耦合关系下温度控制方法。将BP神经网络与PID控制方法相结合建立电机温度网络自抗扰控制器模型,利用梯度下降法修正电机温度控制器模型的权值系数,从而实现了BP神经网络自抗扰控制器参数的实时调整。实验结果表明,利用BP神经网络自抗扰算法进行电机时滞耦合关系下温度调整,能够有效提高控制的精确度,缩短了控制过程中的时间延时。     

On dominant poles and model reduction of second order time-delay systems

The method known as the dominant pole algorithm (DPA) has previously been successfully used in combination with model order reduction techniques to approximate standard linear time-invariant dynamical systems and second order dynamical systems. In this paper, we show how this approach can be adapted to a class of second order delay systems, which are large scale nonlinear problems whose transfer functions have an infinite number of simple poles. Deflation is a very important ingredient for this type of methods. Because of the nonlinearity, many deflation approaches for linear systems are not applicable. We therefore propose an alternative technique that essentially removes computed poles from the system?s input and output vectors. In general, this technique changes the residues, and hence, modifies the order of dominance of the poles, but we prove that, under certain conditions, the residues stay near the original residues. The new algorithm is illustrated by numerical examples.     

一类线性切换系统基于带有时滞观测器的输出反馈镇定

许多切换系统的状态是不可测或不能完全可测的,从观测器设计的角度重新考虑了带有时滞的线性切换系统的输出反馈镇定问题.主要研究了观测器带有延时,且控制器也带有切换延时的情况,最终得到了系统可镇定的充分条件.     

利用短期心脏记忆消除螺旋波和时空混沌

在Luo-Rudy的心脏模型中引入了记忆效应, 该记忆效应表现为膜间电压的延迟耦合. 研究了记忆效应对螺旋波的影响, 数值模拟结果表明:心脏记忆可导致螺旋波无规则漫游;当延迟时间适当选取时, 增加记忆强度会导致螺旋波的频率减小, 如果记忆强度超过临界值, 心脏记忆效应还可以使螺旋波和时空混沌消失, 因为含时外行钾离子电流被心脏记忆过度抑制.     

时滞对一类单位负反馈二阶振荡系统的正面作用分析

针对一类被控对象具有二阶系统标准形式的振荡系统进行了稳定性分析,讨论了闭环系统为单位负反馈时信号传输时滞对控制系统性能的影响.通过绘制和分析相对阻尼系数在不同取值区间的Nyquist曲线,得出了时滞与闭环系统稳定性的关系,并对各种情况进行了单位阶跃响应的实例仿真.仿真结果表明了分析的正确性.     

数字域时间延迟积分时间CMOS相机高分“凝视”成像设计分析

为实现凝视卫星高分跟踪成像,设计了数字域时间延迟积分(TDI)互补金属氧化物半导体(CMOS)传感器在凝视姿态下的成像匹配模型,推导了卫星凝视跟踪成像时相对轨道坐标系的姿态变化,采用坐标变换方法实时计算其在凝视过程中随姿态变化的行转移时间,利用蒙特卡罗方法统计计算了凝视模式下姿态指向精度和稳定度对成像的影响。利用数字域TDI CMOS原理样机和小卫星姿态控制系统全物理仿真平台对成像进行了仿真分析。结果表明,卫星的姿态控制精度在成像过程中会引起纵向的像移速度失配和横向匹配的残余像移,成像积分级数越高,图像信噪比越大。积分级数的增加对卫星姿态提出较高要求,仿真平台姿态角和姿态角速度控制精度分别优于0.05°,0.005°/s时,采用积分级数为48级能较好地满足成像质量要求。