Preface Introduction Organization of the book Some basic notations and identities Orbit Dynamics and Properties Orbit dynamics Conic section and different orbits Property of Keplerian orbits Keplerian orbits in three dimensional space Rotational Sequences and Quaternion Some frequently used frames Rotation sequences and mathematical representations Transformation between coordinate systems Quaternion and its properties Spacecraft Dynamics and Modeling The general spacecraft system equations The inertial pointing spacecraft model Nadir pointing momentum biased spacecraft model Space Environment and Disturbance Torques Gravitational torques Atmosphere induced torques Magnetic field induced torques Solar radiation torques Internal torques Spacecraft Attitude Determination Davenport''s formula Attitude determination using QUEST and FOMA Analytic solution of two vector measurements Analytic formula for general case Riemann-Newton method Rotation rate determination using vector measurements Astronomical Vector Measurements &del Nadir pointing momentum biased spacecraft model Space Environment and Disturbance Torques Gravitational torques Atmosphere induced torques Magnetic field induced torques Solar radiation torques Internal torques Spacecraft Attitude Determination Davenport''s formula Attitude determination using QUEST and FOMA Analytic solution of two vector measurements Analytic formula for general case Riemann-Newton method Rotation rate determination using vector measurements Astronomical Vector Measurements Star vectors Earth magnet field vectors Sun vectors Spacecraft Attitude Estimation Extended Kalman filter using reduced quaternion model Kalman filter using reduced quaternion model A short comment Spacecraft Attitude Control LQR design for nadir pointing spacecraft The LQR design for inertial pointing spacecraft The LQR design is a robust pole assignment Spacecraft Actuators Reaction wheel and momentum wheel Control moment gyros Magnetic torque rods Thrusters Spacecraft Control Using Magnetic Torques The linear time-varying model Spacecraft controllability using magnetic torques LQR design based on periodic Riccati equation Attitude and desaturation combined control LQR design based on a novel lifting method Attitude Maneuver and Orbit-Raising Attitude maneuver Orbit-raising Comparing quaternion and Euler angle designs Attitude MPC Control Some technical lemmas Constrained MPC and convex QP with box constraints Central path of convex QP with box constraints An algorithm for convex QP with box constraints Convergence analysis Implementation issues A design example Proofs of technical lemmas Spacecraft Control Using CMG Spacecraft model using variable-speed CMG Spacecraft attitude control using VSCMG Simulation test Spacecraft Rendezvous and Docking Introduction Spacecraft model for rendezvous Model predictive control system design Simulation test Appendix A First Order Optimality Conditions A.1 Problem introduction A.2 Karush-Kuhn-Tucker conditions Appendix B Optimal Control B.1 General discrete-time optimal control problem B.2 Solution of discrete-time LQR control problem B.3 LQR control for discrete-time LTI system Appendix C Robust Pole Assignment C.1 Eigenvalue sensitivity to the perturbation C.2 Robust pole assignment algorithms C.

3 Misrikhanov and Ryabchenko Algorithm Appendices References Index Magnetic Torques The linear time-varying model Spacecraft controllability using magnetic torques LQR design based on periodic Riccati equation Attitude and desaturation combined control LQR design based on a novel lifting method Attitude Maneuver and Orbit-Raising Attitude maneuver Orbit-raising Comparing quaternion and Euler angle designs Attitude MPC Control Some technical lemmas Constrained MPC and convex QP with box constraints Central path of convex QP with box constraints An algorithm for convex QP with box constraints Convergence analysis Implementation issues A design example Proofs of technical lemmas Spacecraft Control Using CMG Spacecraft model using variable-speed CMG Spacecraft attitude control using VSCMG Simulation test Spacecraft Rendezvous and Docking Introduction Spacecraft model for rendezvous Model predictive control system design Simulation test Appendix A First Order Optimality Conditions A.1 Problem introduction A.2 Karush-Kuhn-Tucker conditions Appendix B Optimal Control B.1 General discrete-time optimal control problem B.2 Solution of discrete-time LQR control problem B.3 LQR control for discrete-time LTI system Appendix C Robust Pole Assignment C.1 Eigenvalue sensitivity to the perturbation C.2 Robust pole assignment algorithms C.

3 Misrikhanov and Ryabchenko Algorithm Appendices References Index P>A design example Proofs of technical lemmas Spacecraft Control Using CMG Spacecraft model using variable-speed CMG Spacecraft attitude control using VSCMG Simulation test Spacecraft Rendezvous and Docking Introduction Spacecraft model for rendezvous Model predictive control system design Simulation test Appendix A First Order Optimality Conditions A.1 Problem introduction A.2 Karush-Kuhn-Tucker conditions Appendix B Optimal Control B.1 General discrete-time optimal control problem B.2 Solution of discrete-time LQR control problem B.3 LQR control for discrete-time LTI system Appendix C Robust Pole Assignment C.1 Eigenvalue sensitivity to the perturbation C.2 Robust pole assignment algorithms C.

3 Misrikhanov and Ryabchenko Algorithm Appendices References Index R control problem B.3 LQR control for discrete-time LTI system Appendix C Robust Pole Assignment C.1 Eigenvalue sensitivity to the perturbation C.2 Robust pole assignment algorithms C.3 Misrikhanov and Ryabchenko Algorithm Appendices References Index.