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
3.1 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
金属管材是工业领域中结构承重、输送气体和液体的重要部件。自由弯管成形技术有助于实现管件生产的高精度、高性能、高效率和数字化，其精度控制理论和成形技术的研究具有重要的工业应用价值。本文选择直径 30 mm 壁厚 2.0 mm 的铝合金管材6061为仿真优化对象，通过相关基础实验获得材料的基本力学数据，用于仿真模型参数的表征。同时，结合管材压弯实验验证本构模型成形预测的有效性。在完成仿真模型表征和验证的基础上，对铝合金管材的自由弯曲成形过程进行仿真模拟，分析对比了影响自由弯曲成形的各工艺参数，确定了该工况下最优的移动模与管材间隙大小、摩擦系数和进给速度等。该研究有助于优化管材空间自由弯曲成形工艺，具有一定的工业应用价值
