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The attitude maneuvering process for spacecraft involves uncertainties for both rigid and flexible spacecraft, leading to chaotic motion. Analytic solutions to these problems do exist, but in all cases they can be solved through numerical methods. Specifically, uncertainties in controllers can be reduced through a linear matrix inequalities (LMI) approach. Spacecraft Attitude Control presents solutions to spacecraft attitude control systems using an LNI approach. The book shows that a variety of problems can be reduced by a small number of quasiconvex or standard convex optimization problems that involve LMIs. Spacecraft Attitude Control solves problems for spacecraft attitude control systems using convex optimization, and specifically, through a linear matrix inequalities approach (LMI). High-precision pointing and improved robustness in the face of external disturbances and other uncertainties are requirements for the current generation of spacecraft. The title develops an LMI approach to spacecraft attitude control and shows that all uncertainties in the maneuvering process can be solved numerically. Through a mathematical presentation of attitude control systems, a model-like state-space can be developed, allowing the controller in question to be applied universally. The book develops a wide variety of novel and robust controllers, applicable both to spacecraft attitude control and easily extendible to second-order systems. This title introduces spacecraft attitude control and robust systems, giving an extensive survey of current research, and helping researchers improve robust control performance. Presents a linear matrix inequality (LMI) approach to spacecraft attitude control Considers the control requirements of modern spacecraft Presents rigid and flexible spacecraft control systems with inherent uncertainties mathematically, leading to a model-like state-space Develops a variety of novel and robust controllers directly applicable to spacecraft control as well as extendable to other second-order systems Includes a systematic survey of recent research in spacecraft attitude control