最优控制

The simulation results show that this method is effective and successful with strong robustness, and can also be used to some other linear or nonlinear second order systems.

理论分析和仿真表明，这种基于时间最优控制的非线性设计方法具有很好的控制效果和鲁棒性，适用于一类二阶系统的控制。

The second order mathematical models of inverted pendulum system are expatiated in this paper based on the theory of LQOC(Linear Quadratic Optimal Control), LQY(Linear-Quadratic Yield) controller and LQR(Linear-Quadratic Regulator) are designed to make the inverted pendulum system closed loop stable.

针对倒立摆的稳定控制问题，阐述了二阶倒立摆的数学模型，采用线性二次最优控制理论，设计了倒立摆控制系统的线性二次型调节器和线性二次型输出器，使倒立摆系统闭环稳定。

In chapter two, under non-Lipschitz condition, the existence and uniqueness of the solution of the second kind of BSDE is researched, based on it, the stability of the solution is proved; In chapter three, under non-Lipschitz condition, the comparison theorem of the solution of the second kind of BSDE is proved and using the monotone iterative technique , the existence of minimal and maximal solution is constructively proved; in chapter four, on the base of above results, we get some results of the second kind of BSDE which partly decouple with SDE, which include that the solution of the BSDE is continuous in the initial value of SDE and the application to optimal control and dynamic programming. At the end of this section, the character of the corresponding utility function has been discussed, e.g monotonicity, concavity and risk aversion; in chapter 5, for the first land of BSDE ,using the monotone iterative technique , the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied.

首先，第二章在非Lipschitz条件下，研究了第二类方程的解的存在唯一性问题，在此基础上，又证明了解的稳定性；第三章在非Lipschitz条件下，证明了第二类BSDE解的比较定理，并在此基础上，利用单调迭代的方法，构造性证明了最大、最小解的存在性；第四章在以上的一些理论基础之上，得到了相应的与第二类倒向随机微分方程耦合的正倒向随机微分方程系统的一些结果，主要包括倒向随机微分方程的解关于正向随机微分方程的初值是具有连续性的，得到了最优控制和动态规划的一些结果，在这一章的最后还讨论了相应的效用函数的性质，如，效用函数的单调性、凹性以及风险规避性等；第五章，针对第一类倒向随机微分方程，运用单调迭代方法，证明了最大和最小解的存在性，并研究了解的其它性质及在效用函数上的应用。

Neural networks ; prediction control ; optimum control ; vibration control ; nonlinear vibration system

神经网络；预测控制；最优控制；振动控制；非线性振动系统

In the computational methods of TPBVP, in order to reduce some difficulties involved in solving a TPBVP via adjoint variables, we discuss a direct method in which state and control variables are indirectly parameterized, The method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and control variables, thus converting the optimal control problem into a nonlinear programming problem, which can be solved numerically.

在数值解法中，为了减少解决两点边值问题共轭变量带来的困难，主要讨论了将状态变量和控制变量进行参数化的一种直接方法，这种方法采用了近段发展起来的使用分段的多项式来代替状态和控制变量的直接优化方法，然后最优控制问题就转化成可以用数值方法解决的非线性规划问题，使得迭代初值更加容易选取。

According to the requirement of a minimum-fuel-consumption, a method of coplanar hit orbit optimization design for SGKW was studied. The dimensionless planar motion model of SGKW was founded, and the optimal control problem of minimum-fuel-consumption coplanar hit orbit was derived into two-point-boundary-value problem according to Pontryagin maximum principle.

针对燃料最省要求，研究了SGKW共面打击轨道优化设计方法，建立了SGKW的无量纲化平面运动模型，利用庞特里亚金极大值原理将燃料最省共面打击轨道的最优控制问题转化为两点边值问题。

In order to choose suitable voltage space vector and achieve current-follow-control,it samples stator current with constant frequency.According to the motor-model,optimize-controlled coltage vector is computed at the next sample moment to control actual next stator current so as to follow next reference.

为了选择合适的电压空间矢量，实现电流跟踪控制，以固定频率采样定子电流，按电机模型计算出下一采样时刻逆变器的最优控制电压矢量，从而控制下一时刻实际定子电流去追踪下一时刻参考电流。

This paper investigates the optimal control of a manufacturing system in which the machine is allowed to be preventively maintained.

孙优贤 ，邢卫，宋东平考虑一类容许预防维护的制造系统的最优控制。

The control criteria of system stochastic optimal control involving the probability density evolution analysis are presented in reference to the physical senses of control objectives, and three classes of control criteria hinging on evolution processes with hierarchical levels are developed.

从目标控制量的物理意义出发，提出了基于系统概率密度演化分析的最优控制准则，建立了递阶层次的演化过程控制准则类。

Formation control law is advanced based on formation elements and relative orbital velocity increase △v.

系统研究了用于航天器相对轨道机动的航天器相对轨道运动双脉冲控制及其最优控制，提出了基于相对伴随轨道要素和相对轨道速度增量的相对伴随轨道控制律。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。