制导炮弹非线性滑模控制器设计

为了提高制导炮弹的精确打击能力,研究了一种非线性滑模变结构控制器。利用近似最优控制理论确定了非线性滑模面,并设计了舵面的控制律,使得系统状态快速达到并保持在滑模面,采用指数趋近律和饱和函数减轻了滑模控制带来的抖振,实现对控制指令的跟踪。仿真表明,设计的非线性控制器能有效处理制导炮弹的非线性耦合问题,快速响应控制指令,并且在气动参数摄动时体现出较强的鲁棒性,具有良好的工程应用前景。     

A mathematical programming approach for improving the robustness of least sum of absolute deviations regression

This paper discusses a novel application of mathematical programming techniques to a regression problem. While least squares regression techniques have been used for a long time, it is known that their robustness properties are not desirable. Specifically, the estimators are known to be too sensitive to data contamination. In this paper we examine regressions based on Least‐sum of Absolute Deviations (LAD) and show that the robustness of the estimator can be improved significantly through a judicious choice of weights. The problem of finding optimum weights is formulated as a nonlinear mixed integer program, which is too difficult to solve exactly in general. We demonstrate that our problem is equivalent to a mathematical program with a single functional constraint resembling the knapsack problem and then solve it for a special case. We then generalize this solution to general regression designs. Furthermore, we provide an efficient algorithm to solve the general nonlinear, mixed integer programming problem when the number of predictors is small. We show the efficacy of the weighted LAD estimator using numerical examples. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

非线性超晶格中波的传播

通过二维实映射研究了非线性Kronig-Penney超晶格中波的传播。数值计算得到非线性系数不同、以及透射波幅不同时的映射图。结果表明,非线性系数对波传播有明显的调制作用,而透射波幅对非线性系数的有效性有明显的改变。     

扩展式机动目标可调白噪声模型

在目标跟踪过程中,每个量测周期所得到的雷达量测数据以极坐标形式表示。量测方程在极坐标中是线性的,但在笛卡儿坐标系中却是非线性的。此时,目标跟踪实际上是非线性的。随着现代航空、航天技术的发展,飞行器的机动性得到了更大的加强,这就使跟踪问题变得更加困难和复杂。针对非线性机动目标跟踪问题,提出了一种扩展式当前统计模型机动目标跟踪算法。该算法不需要假定目标的机动加速度模型,而是直接正确地估计出机动目标的当前状态,不存在任何估计滞后与修正问题。最后,给出了算法的仿真分析。     

基于过载的制导炮弹非线性控制系统设计

针对制导炮弹模型中的非线性和耦合性,提出一种基于过载的制导炮弹非线性控制系统设计方法,建立了炮弹的过载时变模型,在俯仰和偏航通道控制器设计过程中加入了一阶低通滤波器,消除了“计算膨胀”的难题,并通过非线性阻尼项消除外界扰动,最后由Lyapunov理论证明了系统是半全局域渐近稳定的,能准确跟踪指定过载。     

A specially structured nonlinear integer resource allocation problem

We present an algorithm for solving a specially structured nonlinear integer resource allocation problem. This problem was motivated by a capacity planning study done at a large Health Maintenance Organization in Texas. Specifically, we focus on a class of nonlinear resource allocation problems that involve the minimization of a convex function over one general convex constraint, a set of block diagonal convex constraints, and bounds on the integer variables. The continuous variable problem is also considered. The continuous problem is solved by taking advantage of the structure of the Karush‐Kuhn‐Tucker (KKT) conditions. This method for solving the continuous problem is then incorporated in a branch and bound algorithm to solve the integer problem. Various reoptimization results, multiplier bounding results, and heuristics are used to improve the efficiency of the algorithms. We show how the algorithms can be extended to obtain a globally optimal solution to the nonconvex version of the problem. We further show that the methods can be applied to problems in production planning and financial optimization. Extensive computational testing of the algorithms is reported for a variety of applications on continuous problems with up to 1,000,000 variables and integer problems with up to 1000 variables. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 770–792, 2003.     

不确定系统鲁棒控制方法及在火控系统中的应用

将Ｃｈｅｎ和Ｌｅｅ给出的线性不确定性系统设计的鲁棒方法推广到一类相当广泛的仿射非线性系统。并针对某双３５火炮的随动系统设计问题进行了仿真研究,仿真结果证明了方法的有效性。     

对基于BP神经网络的一类非线性控制器的结构改进

对一类基于ＢＰ神经网络的非线性系统控制器进行了改进,从而提出了一种结构更简单的控制器模型。通过数值仿真模拟证实了它比以前的研究者给出的方案能更快地收敛     

非线性系统的鲁棒镇定:Volterra级数法

基于Ｖｏｌｔｅｒｒａ 级数理论,针对一类非线性系统,首先给出了此类系统可镇定的充分条件,接着讨论了非线性系统鲁棒镇定性的问题,并给出了系统鲁棒可镇定的条件;最后,用实例仿真来验证其有效性     

采用非线性 M 序列辨识 ARMA 模型参数

本文研究了采用非线性M 序列辨识ARMA 模型参数,提出了具体的算法,在特性上同m 序列作了比较,最后给出了仿真结果。