Error Quaternion and Its Application of Attitude Control for a Spacecraft
Juan Wei
Abstract
Juan Wei
Abstract
In this paper,the quaternion is taken for positional parameters to control the attitude of a spacecraft.First,a variation-the error quaternion vector can be attained.The non-single question of the end-attitude of the spacecraft can be solved.Second,the method of non-liner three-axis attitude controls is presented by a typical example,which uses the error quaternion as feedback and control moment gyros as a primary actuating device,and introduces Lyapunov functions to control the non-linear system.It is a new methodology for large spacecraft attitude control.Comparing with Euler's method,the method issued in this paper is much faster and higher precision
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In this paper,the quaternion is taken for positional parameters to control the attitude of a spacecraft.First,a variation-the error quaternion vector can be attained.The non-single question of the end-attitude of the spacecraft can be solved.Second,the method of non-liner three-axis attitude controls is presented by a typical example,which uses the error quaternion as feedback and control moment gyros as a primary actuating device,and introduces Lyapunov functions to control the non-linear system.It is a new methodology for large spacecraft attitude control.Comparing with Euler's method,the method issued in this paper is much faster and higher precision
Key concepts: Quaternion, Spacecraft, Attitude control, Control theory (sociology), Euler angles, Lyapunov function, Control (management), Euler's formula