Dynamics and Real-time Optimal Control of Satellite Attitude and Satellite Formation Systems

Dynamics and Real-time Optimal Control of Satellite Attitude and Satellite Formation Systems

Author: Hui Yan

Publisher:

Published: 2006

Total Pages:

ISBN-13:

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In this dissertation the solutions of the dynamics and real-time optimal control of magnetic attitude control and formation flying systems are presented. In magnetic attitude control, magnetic actuators for the time-optimal rest-to-rest maneuver with a pseudospectral algorithm are examined. The time-optimal magnetic control is bang-bang and the optimal slew time is about 232.7 seconds. The start time occurs when the maneuver is symmetric about the maximum field strength. For real-time computations, all the tested samples converge to optimal solutions or feasible solutions. We find the average computation time is about 0.45 seconds with the warm start and 19 seconds with the cold start, which is a great potential for real-time computations. Three-axis magnetic attitude stabilization is achieved by using a pseudospectral control law via the receding horizon control for satellites in eccentric low Earth orbits. The solutions from the pseudospectral control law are in excellent agreement with those obtained from the Riccati equation, but the computation speed improves by one order of magnitude. Numerical solutions show state responses quickly tend to the region where the attitude motion is in the steady state. Approximate models are often used for the study of relative motion of formation flying satellites. A modeling error index is introduced for evaluating and comparing the accuracy of various theories of the relative motion of satellites in order to determine the effect of modeling errors on the various theories. The numerical results show the sequence of the index from high to low should be Hill's equation, non- J2, small eccentricity, Gim-Alfriend state transition matrix index, with the unit sphere approach and the Yan-Alfriend nonlinear method having the lowest index and equivalent performance. A higher order state transition matrix is developed using unit sphere approach in the mean elements space. Based on the state transition matrix analytical control laws for formation flying maintenance and reconfiguration are proposed using low-thrust and impulsive scheme. The control laws are easily derived with high accuracy. Numerical solutions show the control law works well in real-time computations.


Fast Satellite Attitude Maneuver and Control

Fast Satellite Attitude Maneuver and Control

Author: Dong Ye

Publisher: Academic Press

Published: 2022-08-02

Total Pages: 280

ISBN-13: 0323954561

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Fast Satellite Attitude Maneuver and Control introduces the concept of agile satellites and corresponding fast maneuver attitude control systems, systematically and comprehensively presenting recent research results of fast maneuver attitude control for agile satellites by using advanced nonlinear control techniques. This reference book focuses on modeling and attitude control, considering different actuator combinations, actuator installation deviation, actuator fault, and flexible appendage coupling effect for agile satellites. The book provides a unified platform for understanding and applicability of agile satellites fast maneuverer and stabilization control for different purposes. It will be an excellent resource for researchers working on spacecraft design, nonlinear control systems, vehicle systems and complex control systems. Unifies existing and emerging concepts concerning nonlinear control theory, fault tolerant, and attitude control for agile satellites Provides a series of the latest results, including, but not limited to, fast maneuverer and stabilization control, hybrid actuator control, nonlinear attitude control, fault tolerant control, and active vibration suppression towards agile satellites Comprehensively captures recent advances of theory, technological aspects and applications of fast maneuverer and stabilization control in agile satellites Addresses research problems in each chapter, along with numerical and simulation results that reflect engineering practice and demonstrate the focus of developed analysis and synthesis approaches Contains comprehensive, up-to-date references, which play an indicative role for further study


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.


Trajectory Optimization for Spacecraft Collision Avoidance

Trajectory Optimization for Spacecraft Collision Avoidance

Author: Air Force Institute of Technology

Publisher: CreateSpace

Published: 2014-08-21

Total Pages: 130

ISBN-13: 9781500903138

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The last several decades have resulted in an unfortunate byproduct of space exploration and development: orbital debris. Satellites in Low Earth Orbit have been required to make an ever increasing number of course corrections in order to avoid collisions. Despite efforts to the contrary, collisions continue to occur, each time creating additional debris and increasing the requirement for the remaining satellites to maneuver. Every required maneuver decreases a satellite's service life. The purpose of this study is to develop a minimum thrust profile to maneuver an orbiting satellite out of its projected error ellipse before a collision occurs. For comparison, both the impulsive and continuous thrust cases were considered as well as in-plane versus out-of plane maneuvering. This study made use of the Radau Pseudospectral Method to develop this minimum thrust profile. This method was run in MATLAB(r) using General Pseudospectral Optimal Control Software (GPOPS-II). Once the optimal solution was obtained, Systems Tool Kit(r) was used to simulate the resulting calculated trajectories and confirm avoidance of the error ellipse.