nonlinear problem
- nonlinear problem的基本解释
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非线性问题
- 相似词
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With the idea of smoothing Newton method, we propose a new class of smoothing Newton methods for the nonlinear complementarity problem based on a class of special functions. In this paper, complementarity problem is converted into a series of smoothing nonlinear equations and a modified smoothing Newton algorithm is used to solve the equations. We use Newton direction and Gradient direction together in the algorithm which guarantees that our method is globally convergent. Also using another smoothing function, we reformulate the generalized nonlinear complementarity problems defined on a polyhedral cone as a system of smoothing equations and a smooth unconstrained optimization problem. Theoretical results that relate the stationary points of the merit function to the solution of the generalized nonlinear complementarity problems are presented, we use the modified smoothing Newton algorithm in generalized nonlinear complementarity problems, under mild hypothesis, a global convergence is proved.
本文一方面基于现有的各种光滑Newton法的思想和半光滑理论,利用著名的F-B互补函数的光滑形式,首先将互补问题的求解转化为求解一系列光滑的非线性方程组,然后给出了一种修正的光滑Newton法,该方法不仅放宽对函数F的要求,在Newton方程不可解时引入初始效益函数的最速下降方向,而且光滑因子的选择也比较简单可行,同时在适当的条件下,证明了其算法具有全局收敛性;另一方面,借助另一种F-B光滑函数,将多面体锥上的广义互补问题转化为一种光滑形式,讨论了优化问题的稳定点与广义非线性互补问题的解之间的理论关系,并将这种修正的光滑Newton法用于求解广义非线性互补问题中,在适当的条件下,该算法同样具有全局收敛性。
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The paper firstly analyze for nonlinear stiffness characteristic of the air spring and provide four type of hypothesis to nonlinear stiffness of the air spring, that is: rubber material nonlinear、composite of rubber and lining cloth nonlinear、 contact nonlinear and geometry nonlinear. Using test method relation curve between stiffness of air spring and on/off time of electro-magnetic valve had been established and the formula has been drawn up.
本人在2001年承担了吉林省科技厅资助的&汽车电控空气悬架系统研究开发&项目,论文的内容是该项目的核心部分,重点在于控制算法的研究和控制系统的设计,为最终在整车上实现空气悬架的自动控制进行前期的基础研究和必要的设计准备工作。
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In our thesis, contents are organized as following In Chapter 1 we present our topic's internal and overseas research situations, theoretical and practical significance, and introduce the research object and contents, and the main contributions of this dissertation. Chapter 2 reviews the development of the stability results for nonlinear systems and some relevant recent results, which include Lyapunov and LaSalle-Yoshizawa theorems for nonlinear systems, and stochastic edition for stochastic nonlinear systems. Sontag's formula for systems affine in control is presented in the frame of CLF. The concepts of disturbance attenuation and the inverse optimality are also explained in this Chapter. In chapter 3 we present the solvable theorem of inverse optimal gain assignment problem, design the inverse optimal controller and the inverse optimal tracking controller for strict-feedback nonlinear continuous systems with unknown time-varing bounded disturbances and constant unknown parameters using an adaptive backstepping algorithm, which are nonlinear, continuous and are easier to realize. These designs are fully systematic and the algorithm can be directly coded in symbolic software. The results of simulation show the effectiveness of the control algorithms.
论文的结构如下:在第1章中,给出了本文研究课题的研究现状、理论意义和实际应用,并介绍了本文的研究对象、研究内容以及主要贡献;在第2章中,针对确定性非线性系统和随机非线性系统,分别介绍了Lyapunov定理、LaSalle-Yoshizawa定理及其随机版本;对仿射系统,在控制Lyapunov函数框架下,给出了Sontag公式;同时给出了非线性系统扰动抑制和逆最优控制问题的基本概念;在第3章中,针对具有未知时变有界扰动和未知定常参数的一类不确定非线性系统,给出并证明了逆最优增益配置可解定理,使用自适应Backstepping算法和均值定理,系统地设计了自适应逆最优控制器和逆最优跟踪器,这种设计方法可同时获得逆最优控制策略和自适应律,简单明了,仿真结果表明该控制算法的有效性,并给出了性能估计。
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nonlinear problem:非线性问题
nonlinear oscillations 非线性振动 | nonlinear problem 非线性问题 | nonlinear programming 非线性最优化
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nonlinear problem:相关词的翻译
Nonlinear problem的翻译: | Nonlinear problem相关词的翻译: | 广义互补问题:General nonlinear complementarity problem
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nonlinear problem:的翻译
Nonlinear problem的翻译: | Nonlinear problem相关词的翻译: | 广义互补问题:General nonlinear complementarity problem
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nonlinear problem:几何非线性
隐互补问题:Implicit Complementarity Problem | 几何非线性:Nonlinear problem | 广义集值拟补问题:multi-valued quasi-complementarity problem
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nonlinear complementarity problem:非线性互补问题
广义互补问题:General nonlinear complementarity problem | 非线性互补问题:nonlinear complementarity problem | 混合互补问题:mixed complementarity problem
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