Mystic: Implementation of the Static Dynamic Optimal Control Algorithm for High-Fidelity, Low-Thrust Trajectory Design

2006 ◽  
Author(s):  
Gregory Whiffen
Keyword(s):  
Optimal Control ◽  
Control Algorithm ◽  
High Fidelity ◽  
Trajectory Design ◽  
Low Thrust

scholarly journals Survey of Direct Transcription for Low-Thrust Space Trajectory Optimization with Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-15 ◽  
Author(s):  
F. Topputo ◽  
C. Zhang
Keyword(s):  
Optimal Control ◽  
Trajectory Optimization ◽  
Ad Hoc ◽  
Direct Methods ◽  
Trajectory Design ◽  
Low Thrust ◽  
Direct Transcription ◽  
Classic Theory ◽  
Theory Of Optimal Control ◽  
Space Trajectory Design

Space trajectory design is usually addressed as an optimal control problem. Although it relies on the classic theory of optimal control, this branch possesses some peculiarities that led to the development of ad hoc techniques, which can be grouped into two categories: direct and indirect methods. This paper gives an overview of the principal techniques belonging to the direct methods. The technique known as “direct transcription and collocation” is illustrated by considering Hermite-Simpson, high-order Gauss-Lobatto, and pseudospectral methods. Practical examples are given, and several hints to improve efficiency and robustness are implemented.

scholarly journals Use of the Lyapunov Functions for Calculating the Locally Optimal Control of a Thrust Vector during Low-Thrust Interorbital Transfer

2021 ◽  
Vol 59 (3) ◽  
pp. 212-221
Author(s):  
R. V. Yelnikov
Keyword(s):  
Optimal Control ◽  
Lyapunov Functions ◽  
Electric Propulsion ◽  
Control Algorithm ◽  
Control Technique ◽  
Control Algorithms ◽  
Low Thrust ◽  
The Maximum Principle ◽  
Thrust Vector ◽  
Vector Orientation

Abstract— This paper presents a method for locally optimal control of the thrust vector of the electric propulsion system (EPS) for a spacecraft that performs a multiturn interorbital transfer from the initial elliptical orbit into a geostationary orbit (GSO). The control represents the time dependences of the angles that characterize the EPS thrust vector orientation in space. Here, it is assumed that the EPS is always on. The proposed control algorithm belongs to the class of feedback control algorithms and is based on using the Lyapunov functions. Numerical examples are presented, which characterize the operability of the proposed control technique. Considerable attention is paid to the comparison of given solutions with the optimal solutions obtained within the framework of the maximum principle formalism.

An Economic Model Predictive Control Approach for Wind Power Smoothing and Tower Load Mitigation

2018 ◽  
Author(s):  
Mohamed M. Alhneaish ◽  
Mohamed L. Shaltout ◽  
Sayed M. Metwalli
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Model Predictive Control ◽  
Wind Power ◽  
Predictive Control ◽  
Economic Model ◽  
Control Algorithm ◽  
Fatigue Load ◽  
Economic Model Predictive Control ◽  
Control Framework

An economic model predictive control framework is presented in this study for an integrated wind turbine and flywheel energy storage system. The control objective is to smooth wind power output and mitigate tower fatigue load. The optimal control problem within the model predictive control framework has been formulated as a convex optimal control problem with linear dynamics and convex constraints that can be solved globally. The performance of the proposed control algorithm is compared to that of a standard wind turbine controller. The effect of the proposed control actions on the fatigue loads acting on the tower and blades is studied. The simulation results, with various wind scenarios, showed the ability of the proposed control algorithm to achieve the aforementioned objectives in terms of smoothing output power and mitigating tower fatigue load at the cost of a minimal reduction of the wind energy harvested.

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