1 Introduction 2 Deterministic Dynamic Programming and Viscosity Solutions 2.1 Introduction 2.2 Value Functions are Viscosity Solutions 2.3 Comparison and Uniqueness 3 Stochastic Control 3.1 Some Probability Theory 3.2 Controlled State Space Models 3.3 Filtering 3.4 Dynamic Programming - Case I : Complete State Information 3.5 Dynamic Programming - Case II : Partial State Information 3.6 Two Continuous Time Problems 4 Robust Control 4.1 Introduction and Background 4.2 The Standard Problem of H∞ Control 4.3 The Solution for Linear Systems 4.4 Risk-Sensitive Stochastic Control and Robustness 5 Optimal Feedback Control of Quantum Systems 5.1 Preliminaries 5.2 The Feedback Control Problem 5.3 Conditional Dynamics 5.4 Optimal Control 5.5 Appendix: Formulas for the Two-State System with Feedback Example 6 Optimal Risk-Sensitive Feedback Control of Quantum Systems 6.1 System Model

3.6.1 稳态误差的定义 3.6.2 系统类型 3.6.3 扰动作用下的稳态误差

1.本讲义只起辅助教学作用 2.课程内容以课上讲授内容为准. 3.为适应本课程教学的需要,本讲义将不断更新.其最新版本可在ftp://ctgt,hi.edu.cn处下

3.1 Introduction 3.2 Typical test signals for time response of control systems 3.3 First –Order Systems 3.4 Performance of a Second-Order System 3.5 Concept of Stability 3.6 The Relative Stability of Feedback Control Systems

Frequency response is the analysis of the response of systemswhen subjected to a sinusoidal change in input. When a linear system is subjected to a sinusoidal input, its ultimate response is also a sustained sinusoidal wave, with the same frequency. The figure below compares the output response of a system (solid line) with a sinusoidal input (dashed line) disturbing the system

System compensation is the process of designing a controller that will produce an acceptable transient response while maintaining a desired steady-state accuracy .These two design objectives are conflicting in most systems ,since small errors imply high gains reduce system stability and may even drive the system unstable .Compensation may be thought of as the process of increasing the stability of a system without reducing its accuracy below minimum acceptable standards

2.1 线性系统响应的特点 2.2 线性系统状态转移矩阵及其性质 2.3 线性时变系统的响应 2.4 线性定常系统的响应 2.5 线性离散系统的响应

2.1 线性系统响应的特点 2.2 线性系统状态转移矩阵及其性质 2.3 线性时变系统的响应 2.4 线性定常系统的响应 2.5 线性离散系统的响应

Optimal Design of CMAC Neural-Network Controller for Robot Manipulators Young H. Kim and Frank L. Lewis, Fellow, IEEE Abstract—This paper is concerned with the application of quadratic optimization for motion control to feedback control of robotic systems using cerebellar model arithmetic

5.1 引言 5.2 实现和最小实现 5.3 线性定常系统的最小实现 5.3.1 单变量系统的最小实现 5.3.2 向量传递函数（向量正则有理函数）的实现 5.3.3 用MATLAB求系统的最小实现