非线性系统

The nonlinear plant is first linearised, the fuzzy basis function vector is then introduced to adaptively learn the upper bound of the system uncertainty vector,and its output is used as the parameters of the compansator in the sense that both the robustness and the asymptotic error convergence can be obtained for the closed loop nonlinear control system.

在该方法中，首先将非线性系统线性化，然后利用模糊基函数向量自适应学习系统不确定向量的上界，模糊基函数向量可作为补偿控制器的一个参数。在控制系统的设计过程中可充分保证非线性控制系统的鲁棒性和跟踪误差的渐进收敛性。

Singular bilinear system, different from a linear singular system, is a kind of nonlinear singular system. Control theories and applications of nonlinear systems have always been a hot research focus due to their potentials.

广义双线性系统是最接近广义线性系统的一类广义非线性系统，非线性系统的理论分析与应用一直是控制领域研究的热点与难点。

In this paper,from the global viewpoint we first define the nonlinear control system on a two dimensional surface in the three dimensional Euclidean space, give the represwentation of the state equation under a loca coordinate sysgtem of the surface, and study the connectin between the equilibrium state of the nonlinear system and the egodesics on the surface.

我们首先从整体化的观点定义了一种建立在三维欧氏空间的二维曲面上的非线性控制系统，并给出了在曲面的局部坐标系下非线性系统状态方程的表达式，研究了非线性系统的平衡态与曲面的测地线之间的关系。

Based on the modem FEM with the dynamic substructure method, itd dynamic equation is established with almost no limits to DOFs of the system, in which the left side is the first approach of the nonlinear system and the right side is the excitation and coupling nonlinear pseudo forces. The modal analysis method is used to get the eigen solution to the reduced linear homogeneous dynamic differential equation. When the system is excited by the harmonic excitation at the right side of the equation, the nonlinear dynamic response can be calculated by the numerical method to give quantitative analysis.

基于近代有限元和子结构模态综合法的动力学建模方法，获得非线性系统动力学微分方程，其自由度几乎没有限制，对左端首次近似齐次方程进行模态分析，选取对响应有贡献的部分本征对，同样对右端激励和非线性伪力作模态变换，得到减缩后非线性系统耦合动力学微分方程。

And a corresponding nonlinear robust controller is finally constructed. nonlinear systems ; robust control ; feedback inearization ; linear fractional transformation

本文把非线性系统鲁棒控制的μ方法应用到一类可状态反馈线性化的仿射非线性系统鲁棒控制中，提出了非线性鲁棒控制系统的

At last, the application of above modeling and control strategies has been demonstrated by the simulations of a nonlinear dc motor control problem. Under this control strategy, system identification phase is not needed, and only a controller based on the recurrent neural network is provided. Because the control and learning laws are designed with stable theory, stability and convergence problems are solved here with rigorous analysis, which can not been analyzed easily when usual BP neural networks are used.

最后通过非线性电机模型的仿真研究，表明了基于上述动态动态递归神经网络模型对非线性系统进行自适应控制的实际可行性，并且采用这种方法不需要对系统进行离线辨识，整个系统只采用了一个基于动态递归神经网络的控制器，由于整个系统是基于稳定性理论设计的，有效地解决了应用BP网络等其它前向网络时系统的稳定性和收敛性难以分析的问题。

The practical application and computer simulation research show that the application of BP neural network to real-time diagnosis and modeling for optimizing WOB is practicable and efficacious.

BP网络作为一种非线性映射，可以逼近任意的非线性函数，所以它不仅适用线性系统，也适用非线性系统。本文选用BP网络作为钻进过程实时事故诊断和建立钻压优化模型的工具。一般B

Especially, the dynamic neural network, which containing feedback process can directly and vividly reflect the dynamic nature of systems, thus it is attractive to use neural network technology to forecast the dynamic, non-linear exchange rate.In this paper, firstly we reviews and commentates the literatures of foreign exchange rate forecast, then introduces and analyzes from three perspectives, which are the basic theory of the exchange rate forecast, the main model and technical approach.

人工神经网络技术是一种非线性系统逼近和建模的有效工具，由于其具有良好的非线性映射能力及自适应、自学习和泛化能力，特别是包含反馈过程的动态神经网络能够更直接更生动地反映系统的动态特性，因而利用神经网络技术来对动态、非线性的汇率系统进行预测别具潜力。

Stability analysis of nonlinear magnetic suspension, the magnetic suspension system model was found based on electromagnet dynamics and voltage balance of the electromagnet coil; The feedback of position and velocity and current are used as the control variable; After the control rule was applied to the electromagnetic system, the louts criterion was used to get the range of the control parameter in which the system was steady-going.

非线性磁悬浮系统的稳定性分析，通过电磁铁动力学和电磁线圈的电压平衡方程，建立磁悬浮系统基本模型。求出系统奇点后，通过系统线性展开求出系统矩阵。用PD控制外加电流反馈量，将控制规律带入系统模型方程组求出矩阵的特征方程，由劳斯判据得知非线性系统稳定的位置反馈系数及取值范围。

Because of this large-scale interconnected power networks which are operating closely at a limited transmission level and all kinds of fast controllers which are called on to improve systems dynamic behavior, such as fast exciters、 HVDC、 FACTS and so on, the modern power system is inherently a nonlinear system, called as a stressed power system.

对于上述重载电力系统，因为传统的线性化分析方法不容易计及系统内部非线性动态结构信息，所以很难揭示其一些非线性奇异现象的实质。所以，目前国内外，用于研究强非线性系统的动态特性的理论依据主要是向量场正则形理论。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。