Minimum Time Spacecraft Reorientation with Hybrid Heuristic/Gradient Optimization Methods

Minimum Time Spacecraft Reorientation with Hybrid Heuristic/Gradient Optimization Methods

Author: Luke Guyer

Publisher:

Published: 2021

Total Pages:

ISBN-13:

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Spacecraft often need to be reoriented in a time-optimal manner to satisfy mission requirements. By formulating a maneuver as a mathematical optimization problem, reorientation has been studied extensively in the past in search of fast yet sufficiently optimal solutions. Attitude constraints may also be necessary to avoid the damaging of optical sensors by bright celestial bodies. This research considers a hybrid heuristic/gradient optimization algorithm applied to an inverse dynamics formulation of spacecraft reorientation as a fast approach at finding a sufficiently optimal reorientation time in constrained space. Two heuristic algorithms, Particle Swarm Optimization (PSO) and the Continuous Interacting Ant Colony (CIAC) algorithm, were paired with a gradient-based optimizer to make up two different versions of the hybrid solver. For the constrained case in which 500 or more heuristic iterations were used, the algorithm found a feasible solution 90% of the time and a quasi-optimal solution 82% of the time, requiring 1.5 minutes of runtime in MATLAB. The gradient-based optimizer provided a significant improvement to a purely heuristic solution, decreasing a CIAC maneuver time by 40% and a PSO maneuver time by as much as 60%. For the case of unconstrained reorientation, the optimizer exhibited out-of-plane motion and control torques approaching bang-bang structures. The CIAC version of the hybrid algorithm consistently performed faster and found lower average maneuver times than PSO in less heuristic iterations.


Time-optimal, Constrained, Satellite Reorientation Maneuver Using Inverse Dynamics

Time-optimal, Constrained, Satellite Reorientation Maneuver Using Inverse Dynamics

Author: Michael Nino

Publisher:

Published: 2019

Total Pages:

ISBN-13:

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Being able to quickly reorient certain satellites, such as orbiting astronomical observatories, is critical to mission objectives. If an event of interest occurs, the goal is to measure that event before it disappears. This can be difficult when the path of reorientation between the sensor and the event is constrained. An electromagnetic (EM) sensor is designed to record EM radiation within certain intensity tolerances. Celestial bodies, such as the Earth, Moon, and Sun, can output EM radiation well above those tolerances depending on the objective ofthe satellite. This requires that the sensor not only be reoriented from its current pointing to the direction of the event, but also avoid the EM output of those bodies in the range that exceeds the tolerances of the sensor. This leads to an optimal control problem that needs to be solved computationally. For a rigid body satellite with three-axis control capabilities, the use of Eulers rotation equations can lead to different attitude parameterizations, such as the use of a quaternion representation or Rodrigues parameters, to solve the system of equations. In this thesis, an inverse-dynamics representation is used, which involves parameterizing the attitude of the satellite into three separate orientation angles constituting the 3-2-1 Euler angle sequence. This is converted to a quaternion formulation to achieve compatibility with on board satellite control systems. Genetic algorithms,also called hybrid or heuristic methods, provide a framework for solving optimal control problems quickly. Particle Swarm Optimization (PSO) is a method that invokes a relationship between a particle (a single solution element) and a swarm (a group of solution elements) to search the solution space for an optimal solution.Combining PSO and inverse-dynamics has been shown in previous analyses to be a contender for a way to produce solutions to the reorientation problem efficiently. The method in this analysis determined to be the best contender for producing real-time solutions to this problem involves modeling the orientation angles of theinverse-dynamics problem using 5th order polynomials that exactly meet the end point conditions of the problem. Using a normalized time unit, a relationship between the control profile and the final time can be used to determine a final time that guarantees the constraints associated with the satellites design. This allowsPSO to address just the maneuver path that avoids the constraint bodies. This implementation was found to consistently produce results that are both closer to optimality and more computationally efficient than those in the literature.


Genetic Algorithms for Aeroassisted Trajectory Optimization and Time-optimal Spacecraft Reorientation Controller Design

Genetic Algorithms for Aeroassisted Trajectory Optimization and Time-optimal Spacecraft Reorientation Controller Design

Author: Yao-Feng Cheng

Publisher:

Published: 1994

Total Pages: 232

ISBN-13:

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"An algorithm based on the mechanics of natural genetics is used to solve two different optimization problems. The algorithm combines survival of the fittest among string structures with randomized information exchange to form a search algorithm. Initiated with a population of bits-coded individuals, the genetic algorithm searches for the optimal solutions generation-by-generation. The three main operations in the genetic algorithm: Reproduction, Crossover, and Mutation give this algorithm the power of searching. In the first part of this thesis, the genetic algorithm is used to determine the optimal trajectories of the aeroassisted vehicle reentry problem. The trajectories to be optimized are determined not only by the parameter searching but also under a height constraint which make this study more interesting. In the second part of this thesis the genetic algorithm is used for designing three-axis bang-bang controllers for the time-optimal rigid spacecraft reorientation problem. The firing times of the bang-bang controller and the time of rotation are determined by searching for the angular velocity thresholds and the reorientation time"--Abstract, leaf iv.


Applied Optimal Control

Applied Optimal Control

Author: A. E. Bryson

Publisher: CRC Press

Published: 1975-01-01

Total Pages: 500

ISBN-13: 9780891162285

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This best-selling text focuses on the analysis and design of complicated dynamics systems. CHOICE called it “a high-level, concise book that could well be used as a reference by engineers, applied mathematicians, and undergraduates. The format is good, the presentation clear, the diagrams instructive, the examples and problems helpful...References and a multiple-choice examination are included.”


Optimal Control with Aerospace Applications

Optimal Control with Aerospace Applications

Author: James M Longuski

Publisher: Springer Science & Business Media

Published: 2013-11-04

Total Pages: 286

ISBN-13: 1461489458

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Want to know not just what makes rockets go up but how to do it optimally? Optimal control theory has become such an important field in aerospace engineering that no graduate student or practicing engineer can afford to be without a working knowledge of it. This is the first book that begins from scratch to teach the reader the basic principles of the calculus of variations, develop the necessary conditions step-by-step, and introduce the elementary computational techniques of optimal control. This book, with problems and an online solution manual, provides the graduate-level reader with enough introductory knowledge so that he or she can not only read the literature and study the next level textbook but can also apply the theory to find optimal solutions in practice. No more is needed than the usual background of an undergraduate engineering, science, or mathematics program: namely calculus, differential equations, and numerical integration. Although finding optimal solutions for these problems is a complex process involving the calculus of variations, the authors carefully lay out step-by-step the most important theorems and concepts. Numerous examples are worked to demonstrate how to apply the theories to everything from classical problems (e.g., crossing a river in minimum time) to engineering problems (e.g., minimum-fuel launch of a satellite). Throughout the book use is made of the time-optimal launch of a satellite into orbit as an important case study with detailed analysis of two examples: launch from the Moon and launch from Earth. For launching into the field of optimal solutions, look no further!


Space Vehicle Dynamics and Control

Space Vehicle Dynamics and Control

Author: Bong Wie

Publisher: AIAA

Published: 1998

Total Pages: 692

ISBN-13: 9781563472619

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A textbook that incorporates the latest methods used for the analysis of spacecraft orbital, attitude, and structural dynamics and control. Spacecraft dynamics is treated as a dynamic system with emphasis on practical applications, typical examples of which are the analysis and redesign of the pointing control system of the Hubble Space Telescope and the analysis of an active vibrations control for the COFS (Control of Flexible Structures) Mast Flight System. In addition to the three subjects mentioned above, dynamic systems modeling, analysis, and control are also discussed. Annotation copyrighted by Book News, Inc., Portland, OR