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The characteristic, difference and relation of the normal and inverse design are compared detailedly. The formula of the first and second class eigen sensitivity are given. For the horizotal vibration system of building structure, the sensitivity method and perturbation method are adopted to modify the dynamic characteristics. The inverse eigenvalue problem of Jacobi matrix and the positive, symmetry, band matrix are studied. The method of Evolutionany Computation is first used in the inverse design of building structure, the principal problems are studied. The features of aseismatic inverse design of building are analysed.

本文较详细地比较了正、逆设计的特点;给出了特征值和特征向量的一阶和二阶灵敏度分析公式;对于建筑结构水平振动系统,提出了结构动态特征的修改方法;对Jacobi矩阵及实对称带状矩阵的逆特征值问题进行了分析研究,首次将其引入建筑结构抗震逆设计中;首次将进化计算方法应用于建筑结构抗震逆设计中,对主要问题作了探讨;对建筑结构抗震逆设计的特点进行了分析,提出未来的发展方向和前景。

The inverse polynomial and the invertible affine transformation exist by the finite field, linear algebra and matrix theory. The invertible affine transformation and the inversion in are easily realized by using lookup table. An algorithm can be used to get the inverse element of modulo .

本文运用有限域、线性代数和矩阵理论,论证了逆多项式和逆仿射的存在性,并且应用查表法简捷地实现了中元素的求逆和逆仿射变换;设计了一个易于在在计算机上实现的算法,来求形如的多项式模时的逆元,该多项式的系数在上。

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。

Secondly, the invertible assignment problem are studied. At last, we explored the conditions on the invertible completion of part matrix Mx and obtained the characterizations of the relovent operator of invertible completion.

利用构造分块初等矩阵、算子广义逆、极分解、谱分解为工具,深入地研究了算子对的逆补Mxy、算子逆配置的一系列等价刻画及一般性结论、缺项算子矩阵存在逆补Mx的等价刻画,并获得了逆补的预解集的性质刻画。

In this paper, the structure characteristics of atmospheric boundary layer have been studied over Lanzhou in winter by combining numerical simulation method with analysis of the data which was observed by sounding balloon during the collaborative project "Study on air pollution and countermeasure in Lanzhou" supported by Gansu Government and Chinese Academy of Sciences.

本文利用甘肃省政府和中国科学院的科技合作项目"兰州市大气污染及对策研究"所获得的系留气球探空资料,并且结合数值模拟方法,对兰州市冬季大气边界层温度场特征进行了对比分析,结果表明:在没有特殊天气过程的典型冬季代表性时段,山谷城市兰州逆温边界层结构无论白天或夜间都存在,而且经常出现多层逆温和白天的脱地逆温情况,只有当冷空气过境时,逆温现象才减弱或消失;与观测结果相比较可以看出,数值模拟结果基本上反应了温度场的主要特征。

Unfortunately, there is inevitably difference in characteristics of the induction motors and converters in a parallel AC drive system, therefore each induction motor as well as converter can not operate at the same working point, some may be overload, some underload.

并联着的各个交流调速系统的负载是不均衡的,这是因为逆变器所带的负载—异步电动机参数及特性不可避免地存在差异,两或多台逆变器作为电源,其等效参数也很难一致,各驱动轮径总存在偏差,因此各台逆变器的输出电流和各台异步电动机的定子电流是不相一致的,有的逆变器、异步电动机可能过载,有的还可能欠载。

Horizontal canal benign paroxysmal positional vertigo is usually induced in supine position with head rotation towards either side. It is called geotropic form when the nystagmus is directed toward the undermost ear, or ageotropic form when the nystagmus is directed toward the uppermost ear.

水平半规管良性阵发位置性眩晕最容易发生在病人仰卧转头时,若眼振和转头方向一致,称为向地型,眼振方向和转头方向相反,称为逆地型,后者的治疗方法众说纷纭,文献上并无定论。

The head is slowly turned 90° toward the side where nystagmus is induced less intensely. Then the head is rotated 180° rapidly toward the opposite side. This article reports three cases of the ageotropic form of HC-BPPV that were cured by rapid head rotation. The three cases demonstrated that rapid head rotation was an effective maneuver to treat cupulolithiasis on the utricle side. It is recommended that rapid head rotation can be used for therapeutic diagnosis: If nystagmus subsides immediately after this maneuver, the diagnosis is cupulolithias is on utricle side. If nystagmus changes into the geotropic form, the diagnosis is cupulolithiasis on canal side or canalolithiasis in the anterior arm of horizontal semicircular canal. A repositioning maneuver for geotropic form can then be applied to treat these patients.

逆地眼振型水平半规管良性阵发位置性眩晕的3种耳石可能位置如下:水平半规管前臂的管耳石、管侧的顶帽沉石(canal side cupulo-lithias1s)与囊侧的顶帽沉石,本文报告3例以快速转头治疗逆地眼振型水平半规管良性阵发位置性眩晕成功的病例,显示快速转头法对囊侧的顶帽沉石具迅速有效的治疗效果,对於逆地眼振型水平半规管良性阵发位置性眩晕的治疗,作者建议先以快速转头作治疗性诊断,若病人马上复原,诊断为囊侧的顶帽沉石;若眼振转为向地型,则诊断为水平半规管前臂的管耳石或管侧的顶帽沉石,进一步再以向地型的耳石复位法治疗病人。

Then a dynamic inversion tracing control method and a dynamic inversion fuzzy integrated control method are used to design depth control systems for a torpedo respectively. The simulation results illustrate that dynamic inversion fuzzy integrated control method can solve the problem of torpedo depth control more satisfactorily than the dynamic inversion tracing control method can.

提出了基于动态逆的跟踪控制方法和动态逆模糊集成控制方法,并分别将这两种方法用于鱼雷深度控制中,通过仿真说明动态逆模糊集成控制方法比基于动态逆的跟踪控制方法更好地解决了鱼雷的深度控制问题。

To the nonlinear plants, the shortage of normal inverse control method for nonlinear plants is discussed in chapter 6. ANFIS is effectively applied to nonlinear inverse dynamic control system. A project about how to design nonlinear inverse dynamic controller is also discussed here. It effectively avoid the inherent imperfects in the normal inverse control methods. These methods show a great promise.

对于非线性被控对象,本文在第六章分析了通常非线性逆控制方法的不足,并将自适应模糊神经推理系统用于非线性逆动态控制中,讨论了ANFIS非线性逆动态控制器的设计方案,有效地克服了在常规逆控制方法中所固有的缺陷,在非线性控制中很有应用前途。

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