Xiaokui Yue

Computational Methods for Nonlinear Dynamical Systems: Theory and Applications in Aerospace Engineering proposes novel ideas and develops highly-efficient and accurate methods for solving nonlinear dynamic systems, drawing inspiration from the weighted residual method and the asymptotic method. Proposed methods can be used both for real-time simulation and the analysis of nonlinear dynamics in aerospace engineering. The book introduces global estimation methods and local computational methods for nonlinear dynamic systems. Starting from the classic asymptotic, finite difference and weighted residual methods, typical methods for solving nonlinear dynamic systems are considered. In addition, new high-performance methods are proposed, such as time-domain collocation and local variational iteration. The book summarizes and develops computational methods for strongly nonlinear dynamic systems and considers the practical application of the methods within aerospace engineering.

Spacecraft Attitude Control: A Linear Matrix Inequality Approach solves problems for spacecraft attitude control systems using convex optimization and, specifi cally, through a linear matrix inequality (LMI) approach. High-precision pointing and improved robustness in the face of external disturbances and other uncertainties are requirements for the current generation of spacecraft. This book presents an LMI approach to spacecraft attitude control and shows that all uncertainties in the maneuvering process can be solved numerically. It explains how a model-like state space can be developed through a mathematical presentation of attitude control systems, allowing the controller in question to be applied universally. The authors describe a wide variety of novel and robust controllers, applicable both to spacecraft attitude control and easily extendable to second-order systems. Spacecraft Attitude Control provides its readers with an accessible introduction to spacecraft attitude control and robust systems, giving an extensive survey of current research and helping researchers improve robust control performance.

Spacecraft Electromagnetic Docking and Separation in Elliptical Orbits solves problems for spacecraft electromagnetic docking and separation control system using different control methods: instead of the widely used proportional-integral-derivative controller or PID control. The book focuses on presenting a variety of control strategies tailored for spacecraft electromagnetic docking and separation, accompanied by stability proofs that integrate Lyapunov stability theory with sliding mode theory, LMIs-based theorems, model predictive control theories, reinforcement study theories and other frameworks, so the reader can understand how to handle different kinds of disturbances and perturbations in actual orbiting spacecraft. The book also provides a review of magnetic field, magnetic field force model (both the near-field model and the far-field model), useful lemmas and dynamic modelling methods of spacecraft relative motion, which can serve as first stage analysis for further research and are especially important in the initial design phase of a spacecraft electromagnetic docking and separation control system