This paper is an introductory tutorial for numerical trajectory optimization with a focus on direct collocation methods. These methods are relatively simple to understand and effectively solve a wide variety of trajectory optimization problems. Throughout the paper we illustrate each new set of concepts...
An Introduction to Optimal Control Problem and Space Trajectory Optimization with Some ApplicationsIn this chapter we have seen how the nonlinear optimal control problem is formulated and solved. Classical methods are divided in two groups: indirect and direct methods. Indirect methods use the calculus...
from and minimizing the costs of the operation of physical, social, and economic processes. Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. ...
Optimal running trajectory of a train ... K Hideyoshi,K Takafumi,M Masafumi - 《Ieej Transactions on Sensors & Micromachines》 被引量: 15发表: 2005年 Numerical Optimization, 2nd edition Practical Methods of OptimizationAn Introduction to Continuous OptimizationPractical Mathematical OptimizationLinear and...
Finally, nonlinear programming methods are designed to solve optimization problems some of the constraints or objective functions are nonlinear. For a more detailed introduction to optimization methods and techniques, see Ref. [12]. A range of software tools are available for solving optimization ...
The trajectory generation and following must be smooth, as there is a permanent record of the cut. The distributed servo control module must be capable of full coordination of multiple axis control, for which communication to the host is critical. Latency times between issuing of the command and...
adaptive human–machine interface; intelligent and connected vehicle; multi-objective optimization1. Introduction The future Intelligent Transportation Systems (ITSs) hold the potential to revolutionize mobility, offering an integrated and sustainable solution to modern transportation challenges [1]. They are ...
and needs to be applied to scenarios on a large scale. In terms of performance, the performance and stability of various layers and modules are optimied, and extensive tools are provided to improve optimization efficiency. At the cost level, the hardware costs are recuded by enriching the hard...
If i is the winning event, the gambler wins the amount αibi, with αi ≥ 1 referred to as the odds of event i. The expected amount of capital won by the gambler is thus C = ∑iαibipi. If the expected odds αipi are independent of the bets bi, the optimization ...
4.6.4 Cassini 2: Problem of Spacecraft Trajectory Optimization Designing space missions is one of the most critical and challenging issues that can be solved using optimal global algorithms. The Multiple Gravity Assist (MGA) is a nonlinear, finite-dimensional mathematical optimization problem. MGA is...