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2 edition of Optimal singular control with applications to trajectory optimization found in the catalog.

Optimal singular control with applications to trajectory optimization

Nguyen X. Vinh


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Optimal singular control with applications to trajectory optimization by Nguyen X. Vinh Download PDF EPUB FB2

Optimal singular control with applications to trajectory optimization. [Washington]: National Aeronautics and Space Administration, Scientific and Technical Office ; Springfield, Va.: For sale by the National Technical Information Service, (OCoLC) Material Type: Government publication, National government publication: Document.

The optimal control is of the bang-singular-bang type, and the optimal trajectories are formed by a singular arc and two minimum/maximum-thrust arcs joining the singular arc with the given initial. When applying methods of optimal control to motion planning or stabilization problems, we see that some theoretical or numerical difficulties may arise, due to the presence of specific trajectories, namely, minimizing singular trajectories of the underlying optimal control problem.

In this article, we provide characterizations for singular trajectories of control-affine by:   Abstract. This chapter introduces the standard approach to optimal control theory in form of the necessary optimality conditions.

Furthermore, additional necessary optimality conditions for singular optimal control problems, the so-called Kelly or generalized Legendre–Clebsch conditions, are introduced, followed by a brief discussion of the difficulties. A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text.

Maany, The solution of some difficult problems in low‐thrust interplanetary trajectory optimization, Optimal Control Applications and Methods, 9, 3, (), (). Wiley Online Library P. MENON and L. LEHMAN, A parallel quasi-linearization algorithm for air vehicle trajectory optimization, Journal of Guidance, Control, and Cited by:   In this regard, this book is quite timely.

Its detailed treatment of methods and strategies used to solve such optimal control and trajectory optimization problems (complete with in-depth discussion of implementation, tricks, and “what can go wrong” issues) will be useful to optimization practitioners and insightful to researchers focused on various aspects of Cited by: This paper discusses typical applications of singular perturbation techniques to control problems in the last fifteen years.

The first three sections are devoted to the standard model and its time-scale, stability and controllability properties. The next two sections deal with linear-quadratic optimal control and one with cheap (near-singular) by: Betts, J.

and Huffman, W. () Path-Constrained Trajectory Optimization Using Sparse Sequential Quadratic Programming Journal of Guidance, Control and Dynamics, 16, 1. CrossRef Google Scholar Ehtamo, H.K.,T. and Hämäläinen, R.P. () A method to generate trajectories for minimum time climb, in Preprints of the 6th international Cited by:   Optimal Guidance Based on Receding Horizon Control and Online Trajectory Optimization Journal of Aerospace Engineering, Vol.

26, No. 4 Multiphase Mixed-Integer Optimal Control Approach to Aircraft Trajectory Optimization. Aircraft trajectory optimization by curvature control.- Oscillatory cruise - A perspective.- A planar intercept problem with a chattering junction of non-singular and singular subarcs.- On the synthesis of optimal nonlinear feedback laws.- Direct and indirect approach for real-time optimization of flight paths.- Pole placement with optimization   Optimal control theory is the science of maximizing the returns 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 /5(5).

Optimal Control with Engineering Applications by HANS P. GEERING Reviewed by PANAGIOTIS TSIOTRAS T his page book offers a concise introduction to optimal control theory and Springer,ISBNdifferential games, from the minUS$ imum principle (MP) to Hamilton-Jacobi-Bellman (HJB) theory.

"Optimal Control" reports on new theoretical and practical advances essential for analysing and synthesizing optimal controls of dynamical systems governed by partial and ordinary differential equations. New necessary and sufficient conditions for optimality are given.

Recent advances in. Optimal control theory is a branch of applied mathematics that deals with finding a control law for a dynamical system over a period of time such that an objective function is optimized.

It has numerous applications in both science and engineering. For example, the dynamical system might be a spacecraft with controls corresponding to rocket thrusters, and the objective might be to.

This new, updated edition of Optimal Control reflects major changes that have occurred in the field in recent years and presents, in a clear and direct way, the fundamentals of optimal control theory.

It covers the major topics involving measurement, principles of optimality, dynamic programming, variational methods, Kalman filtering, and other solution techniques.5/5(1). Computational Optimization and Applications, To appear.

Optimal Feedback Control: Foundations, Examples, and Experimental Results for a New Approach I. Ross, Pooya Sekhavat, Andrew Fleming, Qi Gong Journal of Guidance, Control, and Dynamics vol. 31, no. 2 (), programming and the Hamilton-Jacobi-Bellman equations, singular optimal control, and stochastic optimal control.

Prerequisites: This course is intended for advanced undergraduate and beginning graduate students. The theory of optimal control has been well developed for over forty years.

With the advances of computer technique, optimal control is now widely used in multi-disciplinary applications such as biological systems, communi-cation networks and socio-economic systems etc. As a result, more and more people will bene t greatly by learning to solve File Size: 1MB.

The book covers various aspects of the optimization of control systems and of the numerical solution of optimization problems. The text also discusses specific applications concerned with the optimization of aircraft trajectories, of mineral and metallurgical processes, of wind tunnels, and of nuclear reactors.

This course presents mathematical foundations and numerical methods for optimal control of these systems. The course explores conditions for deterministic optimality of nonlinear systems, effects of state and control constraints, singular control, parametric and gradient-based optimization, and linear, neighboring-optimal feedback control.In this article we study optimal control problems for systems that are affine with respect to some of the control variables and nonlinear in relation to the others.

We consider finitely many equality and inequality constraints on the initial and final values of the state. We investigate singular optimal solutions for this class of problems, for which we obtain second order necessary and Author: M.

Soledad Aronna.In between these two "boundary layers" the B R model trajectory should mimick the PM optimal attitude schedule.

of {, O LP M The second fundamental reason why perfect following, \) may not be achieved, besides CONCLUSIONS A sequential multistage optimization scheme for aircraft trajectory optimization is by: 1.