●Chapter 1 Introduction
1.1 Brief history of the optimal control theory
1.2 Basic concepts of the control theory
1.3 Optimal control problem
1.4 Some background on finite-dimensional optimization
Chapter 2 Calculus of Variations in Optimal Control
2.1 Foundations of variation
2.2 The Euler-Lagrange equation
2.3 Optimal control problem based on variation
2.4 Summary for chapter 2
2.5 Exercise for chapter 2
Chapter 3 The Maximum Principle
3.1 The limitation of classical variation in optimal control
3.2 The maximum principle for continuous systems
3.3 Two applications of the minimum principle
3.4 Summary for chapter 3
3.5 Exercise for chapter 3
Chapter 4 Dynamic Programming
4.1 The basic principle of dynamic programming
4.2 Dynamic programming of discrete system
4.3 Dynamic programming of continuous system
4.4 The relation between dynamic programming and variational method and maximum value principle
4.5 Summary for chapter 4
4.6 Exercise for chapter 4
Chapter 5 Linear Quadratic Optimal Control Problem
5.1 Linear quadratic problem
5.2 State adjuster
5.3 Output regulator
5.4 Output tracker
5.5 Linear quadratic optimal control of discrete system
5.6 Summary for chapter 5
5.7 Exercise for chapter 5
References
內容簡介
本書基於煤岩動力繫統及其穩定性理論，豐富發展了衝擊地壓擾動響應失穩理論，分析了不同類型衝擊地壓的發生條件和主要影響因素，研究了衝擊地壓充填控制方法與充填防衝材料，建立了衝擊地壓充填控制理論，為煤礦現場充填防衝實踐提供發理論依據。
