在人工智能技术广泛应用的时代，各种类型的飞行器和机器人将代替人执行多种任务。轨迹生成和路径规划对于这些具体任务的完成，在细节上具有至关重要的作用。本书包括离散力学*轨迹实现技术提出的背景意义、理论基础、应用步骤及结果分析。全书讨论了离散力学*控制理论在优化轨迹生成这一方向的相关研究成果，通过理论分析和仿真验证对这种优化轨迹生成方法进行了研究，并给出了此方法相对于其他主流方法的优势对比，举例说明了该技术针对一些代表性对象的实际应用结果。

Chapter 1 Introduction 1.1 Motivation 1.2 Related Work 1.3 NTG and DMOC 1.4 Book Contributions 1.5 Book Outline Chapter 2 Glider Trajectory Generation with NTG 2.1 Problem Definition 2.2 Glider Trajectory Generation 2.3 Ocean Current Model 2.3.1 2D B-spline Ocean Flows Model 2.3.2 3D B-spline Ocean Flows Model 2.4 Nonlinear Trajectory Generation 2.4.1 Cost Function 2.4.2 Constraints 2.5 Optimal Control of a Kinematical Glider 2.5.1 NTG Solution for 3D B-spline Ocean Flows Model 2.5.2 Comparison in the 2D and 3D B-spline Ocean Current Models 2.6 Optimal Control of a Dynamical Glider 2.6.1 Cost Function 2.6.2 Constraints 2.6.3 NTG Solutions for the Dynamic Glider 2.7 Animation of Glider and Ocean Current 2.8 Summary Chapter 3 Aerobot Trajectory Generation with NTG 3.1 NASA JPL Aerobot 3.2 Euler-Lagrange Based Aerobot Trajectories 3.2.1 Euler-Lagrange Equations 3.2.2 Wind Profile 3.2.3 Problem Formulation 3.2.4 Simulated 3D Trajectory 3.3 State Space Model Based Trajectories 3.3.1 Problem Formulation 3.3.2 Simulated 3D Trajectories 3.4 Summary Chapter 4 Trajectory Generation with DMOC 4.1 DMOC Methodology 4.2 DMOC Tutorial 4.2.1 IPOPT 4.2.2 AMPL 4.2.3 Implementation Details 4.2.4 An Application Example 4.3 Summary Chapter 5 Comparison of DMOC and NTG 5.1 Discrete Mechanics and Optimal Control 5.1.1 Discrete Cost Function 5.1.2 Discrete Lagrange d’Alembert Principle 5.2 Nonlinear Trajectory Generation 5.2.1 Problem Formulation 5.2.2 Procedure in NTG 5.3 DMOC versus NTG 5.3.1 A Glider in the Simple Current Model 5.4 A Glider in the B-spline Ocean Model 5.5 Hovercraft Example 5.6 Summary Chapter 6 Testbed Establishment 6.1 Testbed 6.2 Vicon Vision System 6.3 Real-Time Application 6.4 Summary Chapter 7 Multiple Phase DMOC 7.1 Introduction 7.2 Problem Definition 7.3 Mutli-Phase DMOC 7.3.1 Formulation 7.3.2 Multi-Phase Strategy 7.4 Quadrotor Application Example 7.4.1 Quadrotor Model 7.5 Numerical Results 7.5.1 Trajectory Generation 7.6 Summary Chapter 8 Conclusion and Future Work 8.1 Conclusion 8.2 Future Work References Appendix A NTG program for a glider in a B-spline ocean model Appendix B NTG program for a JPL Aerobot Appendix C DMOC program for a glider in a B-spline ocean model Appendix D DMOC program for a JPL Aerobot Appendix E MATLAB program for generating ODE45 trajectories Appendix F Program to obtain realtime coordiates of a draganflyer