In this paper , the present research and development of the engine vibration control is summarized . in theory , this paper analyzes energy distribution of the engine vibration and discusses the active global - state - feedback control system and the partial - state - feedback control system , and presents the method in selecting the partial feedback states . at the same time , associated with one category of engine , it builds the mathematical model of the engine active control system , provides the lq optimal control strategy and makes a simulation analysis 本文总结了发动机振动控制的研究和发展现状，从理论上，分析了发动机振动的能量分布情况，阐述了发动机的全状态反馈施控系统和部分状态施控反馈系统，并提出了部分施控的状态选取方法，同时结合某具体型号的发动机，建立了发动机的振动主动控制模型，采用以二次型性能指标的最优控制律，进行了整机振动主动控制模拟分析。
The guaranteed cost control problem of robust stabilization and robust performance for uncertain systems which is described by 8 operator is discussed in this paper . the condition of existing guaranteed cost controller is analyzed and proved in which the method of linear matrix inequality ( lmi ) is used . a output feedback controller of the uncertain discrete time system described by 6 operator is designed , which guarantees the system is quadratic stabilization 采用线性矩阵不等式( lmi )处理方法研究了delta算子描述的不确定离散系统的输出反馈保成本控制问题，设计了输出反馈控制器，使得闭环不确定系统不仅是鲁棒稳定的，而且对所有允许的不确定性，给定二次型性能指标的闭环性能值不超过某个确定的上界。
Secondly , the non - linear model of ship motion was studied . the non - linear term and the term related to pitching velocity are referred to disturbance of the system to get state feedback designed mathematic model of the rudder / fin joint control system . the non - linear rudder / fin joint control system - designing problem was transformed into disturbance attenuation linear system designing problem , which uses quadratic performance as object function 为了得到船舶舵鳍联合控制系统的状态反馈h ~设计的数学模型，把非线性项及与横荡速度相关的项也看作是对系统的扰动，把非线性船舶舵鳍联合控制系统设计问题化为以二次型性能指标为目标函数的干扰抑制的h ~线性系统设计问题。
In the method of optimal preview control , tracking errors and control increments are both considered in the quadratic cost function . integrating the general optimal servo system with a preview feedforward compensator that feeds future target value and future interfering signals produces an optimal preview servo system 这种方法在二次型性能指标中综合考虑跟踪误差和控制量的变化，在设计反馈控制器的基础上，利用已知的未来目标值及未来干扰信号设计前馈补偿器，进一步改善了系统的性能。
For a nonlinear system with time - delay , the optimal control problem based on quadratic performance indexes is usually transformed to a nonlinear two - point boundary value problem with not only time - delay terms but also time - advance terms . therefore , this kind of optimal control problem is especially difficult to be solved , no matter exact solutions or numeral solutions 对于带时滞的非线性控制系统，其基于二次型性能指标的最优控制问题往往转化为一个既有时间滞后项又有时间超前项的非线性两点边值问题，因此解决这一类控制问题尤其困难，不论是求其精确解还是数值解。
Using the indices of trajectory follow error and steering busyness in evaluation of the steering stability , a quadratic form performance index function for the neuron learning was established and the tuning of the connection weight values of the single neuron controller was realized using the algorithm of gradient descent 利用操纵稳定性评价中的轨迹跟随误差和方向盘忙碌程度的评价指标，建立了神经元学习的二次型性能指标函数，并采用梯度下降算法实现了单神经元控制器的滚接权值的调整。
The stability of electric power system has been being focused for a long time toprevent a power system from losing synchronism after sudden fault ， researchers have done much work and got many accomplishments this paper applied the direct feedback linearization ( dfl ) technique on the power system ， a strong nonlinear system simulation results by matlab proved this method efficiency main works and results are as follows ： this paper compared some existing methods in excitation control ， fast valve control and coordinated control respectively , analyzed the developments and actuality of nonlinear control research in brief , illustrated why ransient stability could be greatly improved by using the fast valve control in chapter 3 ， indicated the importance of coordinated control farther this paper introduced the inverse system theory , based on which ， discussed the dfl theory , pointed out which had consistency with the inverse theory , expanded the dfl theory combined the idiographic model equations ， made which adapt to the model of a single machine - infinite bus power system this paper referenced abundance articles and educed a set of equations ， which could describe the dynamical process of excitation and fast valve control for synchronous generators in the equations ， there were several very important parameters of power system - - rotor angle ( ) ， rotor speed ( ) ， generator q axis voltage ( eq ) ， transient voltage ( e ' q ) ， active power ( pe ) ， mechanical input power ( pm ) ， valve opening ( ) ， generator terminal voltage ( vt ) ， based on the model ， nonlinear coordinated controller and terminal voltage optimal controller have been designed by using the expanded dfl theory and lq optimal control theory the simulation results showed that the controller could keep power system transiently stable under the effects of a symmetrical 3 - phase short circuit fault ， which achieved better postfault regulation compared with another two routine methods ， one is the proportion excitation controller and proportion fast valve controller , the other is the proportion excitation controller and the optimal fast valve controller , which could exert good performance when met 1ittle disturbance either 在介绍逆系统理论的基础上，详细介绍了dfl理论，通过比较阐明了dfl理论其本质是逆系统方法的一类，并结合具体课题推导出的模型方程将dfl理论进行了扩展，使之适应于电力系统这个强非线性对象。通过参考大量的书籍文献推导出一套实用的可将大型汽轮发电机励磁与汽门综合起来进行控制的模型方程，此模型方程涵盖了电力系统中特别引人注目的几个量- -转子角、转子转速、发电机q轴电势eq 、暂态电势e ' q 、有功功率pe 、机械功率pm 、汽门开度、机端电压vt ，在此基础上建立了实用的电力系统简化的数学模型，并将扩展的dfl理论应用于此模型系统，结合线性二次型最优控制理论设计出大型汽轮发电机的非线性综合控制器及机端电压最优控制器，通过仿真实验与采用常规的按电压偏差进行调节的比例式励磁控制器+汽门比例控制及采用常规的按电压偏差进行调节的比例式励磁调节器和基于二次型性能指标设计的最优快控汽门(考虑发电机的饱和因素)进行了对比，证实了采用此种控制器可以有效地提高电力系统的暂态稳定性，并且在电力系统遭受小干扰时同样具有良好的调节性能。
