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Journal ArticleDOI

The optimal control of some attitude control systems for different performance criteria

I. Flügge-Lotz, +1 more
- 01 Jun 1963 - 
- Vol. 85, Iss: 2, pp 165-175
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TLDR
In this article, the authors proposed the Pontryagin maximum principle to optimize attitude control systems on the basis of minimum fuel or energy consumption, which is based on the minimum fuel consumption and energy consumption.
Abstract
Pontryagin maximum principle to optimize attitude control systems on the basis of minimum fuel or energy consumption

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Journal ArticleDOI

The status of optimal control theory and applications for deterministic systems

TL;DR: In this article, the authors present some recent developments in the field of deterministic optimal control and apply the theory to problems of engineering interest, and a selected list of references is also included.
Journal ArticleDOI

Time-, fuel-, and energy-optimal control of nonlinear norm-invariant systems

TL;DR: In this paper, it was shown that for nonlinear systems of the form \parellelx(t) = \sqrt{x{1}^{2} (t) +... + x{n}^{ 2}(t)}, if the control u(t ) is constrained to lie within a sphere of radius M, for all t, then the control ǫ(t)= - Mx(n) /parellx (t)/T \prelaxed uǫ (t), where the consumed fuel is
Journal ArticleDOI

Optimal control - A review of theory and practice.

Bernard Paiewonsky
- 01 Nov 1965 - 
TL;DR: This review will not make a sharp distinction between optimal guidance and optimal control because the mathematical problems are nearly identical even though the time scales of the system being controlled may differ by several orders of magnitude.
Journal ArticleDOI

Minimum-Fuel Feedback Control Systems: Second-Order Case

TL;DR: In this article, the maximum principle is used to prove that the optimal u(t) is necessarily piecewise constant and that u (t) = + 1, 0, or?1.
Journal ArticleDOI

On the fuel-optimal singular control of nonlinear second-order systems

TL;DR: In this paper, a body subject to quadratic drag forces is found which forces the body to a desired position, and stops it there, and which minimizes the cost J = √ √liminf{0} \limsup{T}\{k + |u(t)|\}dt.
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