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最优控制

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The book is divided into 14 chapters, including Introduction, continuous control system theory, process and discrete sampling, Z transform, sampled-data systems, discrete approximation of continuous system the equivalent, based on mathematical transform the classical design method, based on state space pole placement design methodology, multi-variable system of quadratic optimal control, quantitative effects, the choice of sampling period, the digital control system modeling, digital control system for a variety of design methods, variables quadratic optimal control systems, sampling cycle of selection, non-linear control of the problem, as well as digital control system, a typical application - Disk drive servo control design.

全书共分14章,内容包括概论、连续控制系统理论、采样过程和离散化、Z变换、采样数据系统、连续系统的近似离散等效、基于数学变换的经典设计方法、基于状态空间的极点配置设计方法、多变量系统的二次型最优控制、量化效应、采样周期的选择、数字控制系统的建模问题、数字控制系统的各种设计方法、变量系统的二次型最优控制、采样周期的选择、非线性控制的有关问题,以及数字控制系统的一个典型应用——磁盘驱动器的伺服控制设计等。

Based on the concept of optimal control solution to dynamic system parameters identification and the optimal control theory of deterministic system, dynamics system parameters identification problem is brought into correspondence with optimal control problem.

本文基于动力学系统参数辨识问题最优控制解的概念和确定性动力学系统的最优控制理论,建立了参数辨识研究与最优控制理论的对应关系。

The stability problems are analyzed and discussed. The optimal control problem is formulated to determine the necessary conditions for optimality in networks. Three theorems about the properties of the steady state-costate solution in Hamilton function are confirmed leading to the natrual meaning and the optimal policy which can be implemented in practice. In chapter Ⅴ, the methods for nonstationary simulation of computer networks are discussed.

第四章表述了计算机通信网动态特性研究的主要数字方法;提出了排队与随机存取机制、网络链路传输和节点分流的状态空间模型,并作了稳定性研究;应用最优控制理论得到网络最优控制的必要条件,证明了哈密尔顿函数协状态变量的稳定解性质,据此研究分析了网络最优控制的本质意义及实现途径,并给出计算及建模实例。

Firstly, applying spectral factorization to minimize an integral square performance criterion containing tracking error and control energy, an optimal control law for the nominal model is derived on condition of control energy constraint. Then, for model uncertainty, using spectral factorization to minimize the variance of the actual system performance from the nominal performance over all frequency range, a robust controller design method is abtained, which has optimal robustness of the system nominal performance to model errors.

首先针对控制对象的标称模型应用谱分解最小化一个包含跟踪误差和控制能量在内的积分平方性能指标,导出一个控制能量约束条件下的最优控制律;然后再针对模型不确定性应用谱分解最小化实际系统性能和标称性能在整个频段上的方差,得到一个鲁棒控制器的设计方法,可使系统的标称性能对模型误差具有最优的鲁棒性。

Methods for calculating the optimal solution of the minimum time attitude slewing motion and the energy-optimal problems were obtained using Genetic Algorithm, which does not need initial guesses and increases the calculational efficiency.

同时,将遗传算法引入卫星姿态控制的数值计算中,求解最短时间控制问题和能量最优控制问题,发展了一种新的最优控制问题的计算方法,避免了对迭代初值进行猜测的困难,提高了计算效率。

Optimal control of electrohydraulic position servo system is designed by using optimal control theories and Riccati equation.

应用最优控制理论和黎卡提方程对电液位置伺服系统进行最优控制的设计,得出最优控制系统的闭环传递函数,并结合算例,绘制出该系统的波德图,算例表明了该方法的有效性和工程实用性。

The quadratic optimal control problem of delay discrete-time linear system is proposed with quadratic performance index. It is transformed intoanother problem by using the Principle of Optimality. The direct expressions of theoptimal control sequence and performance index sequence are given by mathematicalinduction.

针对给定的二次型性能指标,提出了时滞离散系统线性二次最优控制问题,并利用最优性原理将该问题进行了转化,进而利用数学归纳法推出最优有记忆饱和控制序列及最优性能指标序列的直观表达式。

In the third chapter, because there are theories about the systems without being generate and delay when they are of restricted state right endpoint, and thus based on that, the optimal control problems of the generate systems with delay with restricted state right endpoint is considered in the chapter.

第三章,由于在讨论不具有退化时滞的常微分系统的最优控制问题时候常常会涉及到右端受到限制的情形,由此推广到讨论退化时滞微分系统在右端受限的情况时候的最优控制问题,在本章里就对这样的最优控制问题进行了讨论,得出了一些重要结论。

Based on Bellman stochastic nonlinear dynamic programming, we develop an optimal control algorithm for the discrete stochastic system with conditional Markov structure.

基于Bellman随机非线性动态规划法,提出了具有条件马尔科夫跳变结构的离散随机系统的最优控制方法,应用随机变结构系统的性质对最优控制算法进行了简化处理,并将后验概率密度函数用条件高斯函数来逼近,针对一类具有条件马尔科夫跳变结构的线性离散随机系统,给出了其逼近最优控制算法。

When the rotational speed difference between the flywheel and clutch disk plate is small enough, that is to say, the rotational speed difference between the flywheel and clutch disk plate is smaller than what is set in advance, the flywheel and the clutch disk will engage as quickly as they can. So the shock intensity and slipping friction work are all very small when the clutch engages with the flywheel.

在E.T.Driver输出驱动扭矩小于阻力扭矩时,采用基于最小值原理的换档控制策略对滑摩功和冲击度进行综合最优控制,使滑磨功和冲击度达到综合最优,并得到了以解析式形式表达的系统最优控制函数。E.T。

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