非线性系统

词组短语

nonlinear system

与非线性系统相关的网络例句 [注：此内容来源于网络，仅供参考]

Then, the relations between the general nonlinear systems and its adjoint system were discussed, from which the sufficient and necessity conditions for exact linearization of general nonlinear control systems were obtained. The conclusions include the corresponding results of the affine nonlinear systems.

引入一类相关的仿射非线性系统，通过研究一般非线性系统与其伴随系统的关系，利用伴随系统的精确线性化结论，获得一般非线性系统精确线性化的充要条件，其结果包含了仿射非线性系统的已有结果。

On the basis of the conclusion above, the nonlinear weak controllable vectors can be obtained, which compose the second class of weak controllable matrix, by means of matrix transfermations of the first class of weak controllable matrix. Furthmore the second criterion of weak controllability, accessibility and strong accessibility, which is more standard, more succinct and more practical, is obtained. On the basis of the first criterion and the second criterion, several important problems about nonlinear controllability are discussed, which include 1 local controllability; 2 three classes of local controllable decomposition, separately by means of local coordinate changes in the neighborhood of a nonsingular point, a point on a singular surface or a designated point x〓 with a designated input u〓; 3 the character of controllability of the ith state variable x〓 in different controllable areas and their boundaries.

在第一判别定理和第二判别定理的基础上，我们分析了非线性系统受控性质中的几个重要问题，所得到的结论包括i得到了非线性系统在可平衡点附近的能控性判别定理；ii分别给出了非线性系统在非奇异点、s阶奇面以及在状态空间内给定的一点x〓和输入u〓上的三种状态分解形式以及相应的求解方法；利用系统的Ⅰ型弱能控矩阵与Ⅱ型弱能控矩阵秩相等的条件，得到了只用系统的前n个弱能控向量来判断系统的弱能控性的判别定理；iii通过引入系统状态分量的三类受控区域边界的定义及相应的求解方法，初步探讨了非线性系统各个状态分量在不同的受控区域及其边界上的受控性质。

The solution of some practical problems in engineering can be regarded as that of periodic solution of nonlinear autonomous systems according to the opinion of mathematics, The problems of this kind are analysed by means of the direct numerical method in this paper,The simple and convenient Draw Newton Method is applied for solving the parameter vectors in iteration course along with the calculation of a practical engineering problem.

日I崖旨J，'口工程中的一些实际问题往往可以归结为非线性自治系统，例如描述同步发电机暂态稳定性问题的转子摇摆方程，即是一典型的非线性自治系统。虽然可以用各种小参数摄动法求解非线性系统，但是这类方法是依据对线性系统的解进行"摄动"来逼近非线性系统解的。因而当系统

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。

Presents the design of longitudinal control for ASTOVL lift-fan aircraft, a multi-variable, strong-coupling, complicated nonlinear system to make the system nonlinear offset and decouple, and the method used for linear system in designing the system to gain expectant flying qualities and the combination of aerodynamic control surfaces with thrust vectors to delay the control surfaces getting into saturation, and the minimum N-norm generalized inverse theorem of weighted generalized inverse adopted to apportion the moments commands, which make the control surfaces gain appropriate deflection and the simulation results to verify the dynamic inverse control laws designed really make the system nonlinear offset and decouple; when one command is given, only this output will response, and others do not response; when all commands are given together, the responses will be just the linear superpose of the response of each command, therefore the operation of the pilot will be simplified greatly.

摘 要： ASTOVL升力风扇飞机是多变量、强耦合、复杂的非线性系统，采用非线性动态逆理论设计控制律以实现系统的非线性对消及解耦，然后，采用线性系统的设计方法对系统进行设计，以使系统获得期望的飞行品质。同时，考虑到ASTOVL升力风扇飞机是由气动舵面和推力矢量融合作用的，为了延缓各舵面进入饱和的时间，采用加权广义逆中的极小N-范数广义逆定理分配力矩指令，从而使各舵面达到适当的偏转角。并将所设计的控制律进行了仿真，结果验证了所设计的动态逆控制律使系统实现了非线性对消和解耦，单个指令作用时，只有该项响应，其余不受影响；所有指令作用时，其结果就等于单个指令作用时的线性叠加，这样使驾驶员的操纵大大简化而易于控制，从而大大降低了飞行事故率。

At first, this paper surveys nonlinear control and the applications of neural networks in control respectively. Then it studies definitions, mathematical descriptions and conditions of invertibility for nonlinear systems, which are used to analyze the feasibility of inverse system control method. Conclusions about the feasibility of inverse control and the realizability of αth-order inverse systems in engineering are achieved. Furthermore, this paper discusses the feasibility, structure and identification of neural network αth-order inverse system for general single-input single-output continuous or discrete nonlinear systems and various composite control methods based on the αth-order inverse. At last, as a part work of an actual project, this paper focuses on the design of neural network αth-order inverse control method for thyristor controlled series compensation in power systems and its effect in improving the stability of power systems.

本文首先分别概述非线性系统的控制与人工神经网络在控制中的应用；然后研究非线性系统各种可逆性的定义、数学描述及可逆性条件，并用于分析逆系统控制方法的可行性，得出有关逆系统控制方法可行性的结论，阐明一般情况下α阶逆系统才工程可实现；接着本文针对一般单输入单输出连续、离散非线性系统，研究神经网络α阶逆系统的可行性、结构与辨识以及基于神经网络α阶逆系统的各种复合控制方法，并给出应用例子；最后本文结合实际项目，针对采用可控串补的电力系统，设计神经网络α阶逆系统控制方法，研究其对提高电力系统稳定性的作用。

By the principle of penalt function, the irrotational fluid field is constrained, and author has proposed the Difference Method for distinguishing fluid vortex modes among the natural modes of coupled systems. Author has calculated the real frequencies with the extra deductive method, and discussed the influence of the numerical solution due to the irrotational constraint.

对于流体有限扰动时的非线性耦合系统的有限元分析作了一些探讨，给出了非线性系统的基本方程、变分原理及有限元方程，并具体地导出了三维几何非线性流体单元的切线刚度公式，采用增量形式的Newmark预报——校正逐步积分法计算系统的动力响应，由Newton-Raphson迭代法及其修正方法求解系统的非线性方程组，还列出了不平衡力余量检查和位移迭代增量检查等迭代收敛判断准则。

The methods are as follows: the first is for Hammerstein-type nonlinear system model with known upper value of its order; the second is for the nonlinear system model based on the nonlinear Laguerre model derived from the Volterra series input-output presentation, and the third is for the Wiener-type nonlinear system model based on the combination of Laguerre function with neural networks.

给出了三类非线性系统的即时线性化自适应预测控制策略，即(1)已知非线性子系统阶次上限值的Hammerstein型非线性系统；(2)基于Volterra-Laguerre函数模型的非线性系统；(3)基于Laguerre函数与神经网络的组合模型的Wiener型非线性系统。

From the curve, we linearised the CCS nonlinear model and constructed the T-S fuzzy model of the unit by linking together the linear models of the unit with membership functions. A kind of fuzzy supervisory control system in which using the multi-variable inner model controller or robust controller as its local controller and T-S fuzzy model as the inner model of the supervisory controller has been proposed.

本文的研究内容集中在如下几个方面：根据非线性系统平衡流型和非线性测度的定义，提出了关于平衡流型参数的相对非线性测度的概念，据此绘出了一个具体单元机组机炉协调控制系统模型的相对非线性测度曲线，对此协调控制系统非线性模型进行了线性化，并用隶属度加权的方法将各线性化模型连接成协调控制系统T-S模糊模型。

Our study addresses the following topics:A conception of relative nonlinear measure on the equilibrium manifold parameter has been derived based on the definitions of equilibrium manifold and nonlinear measure about nonlinear system.And the nonlinear measure curve of a material boiler-turbine CCS model has been drawn.From the curve, we linearised the CCS nonlinear model and constructed the T-S fuzzy model of the unit by linking together the linear models of the unit with membership functions.

本文的研究内容集中在如下几个方面：根据非线性系统平衡流型和非线性测度的定义，提出了关于平衡流型参数的相对非线性测度的概念，据此绘出了一个具体单元机组机炉协调控制系统模型的相对非线性测度曲线，对此协调控制系统非线性模型进行了线性化，并用隶属度加权的方法将各线性化模型连接成协调控制系统T-S模糊模型。

与非线性系统相关的网络解释 [注：此内容来源于网络，仅供参考]

nonlinear dynamic system：非线性动态系统

临界非线性系统:Critical Nonlinear System | 非线性动态系统:nonlinear dynamic system | 非线性时间序列:Nonlinear system

nonlinear elliptic system：非线性椭圆型方程组

等效非线性系统法:Equivalent nonlinear system methods | 非线性椭圆型方程组:nonlinear elliptic system | 非线性逆系统方法:nonlinear inverse system method

non linear system：非线性系统

non linear scale 非线性标度 | non linear system 非线性系统 | non linear time base 非线性时基

non linear system：非线性系统WHV中国学习动力网

non linear scale 非线性标度WHV中国学习动力网 | non linear system 非线性系统WHV中国学习动力网 | non linear time base 非线性时基WHV中国学习动力网

nonlinear system：非线性系统

图林的设想在当时引起相当大的争议,但当今的发明从傻瓜照相机到计算机打败世界象棋冠军的事例可以看出,这个设想当时已完全走在时代前面,(Morphogenesis),而且创立了数学上的"非线性系统"(Nonlinear System),为六十年代后兴起的混沌学(C

nonlinear system simulation：非线性系统仿真

nonlinear scale,非线性标度 | nonlinear system simulation,非线性系统仿真 | nonlinear vibration,非线性振动

strongly nonlinear system：强非线性系统

仿射非线性系统:Affine nonlinear system | 强非线性系统:strongly nonlinear system | 非线性动力系统:nonlinear dynamical system

nonlinear system identification：非线性系统辨识

非线性方程组:Nonlinear System of Equations | 非线性系统辨识:nonlinear system identification | 临界非线性系统:Critical Nonlinear System

Affine nonlinear system：仿射非线性系统

非线性时间序列:Nonlinear system | 仿射非线性系统:Affine nonlinear system | 强非线性系统:strongly nonlinear system

Nonlinear Systems Analysis：非线性系统分析

"非线性系统","Nonlinear Systems" | "非线性系统分析","Nonlinear Systems Analysis" | "分形市场分析","Fractal Market Analysis"