高速磁悬浮转子稳定性研究及其在控制力矩陀螺中应用

磁悬浮支承应用于控制力矩陀螺具有高精度，长寿命的优点。高速转子的陀螺效应导致的失稳制约了其在CMG中的应用，尤其是章动造成的磁悬浮转子高速失稳问题。该文分析了由于陀螺效应产生的章动造成系统失稳的根本原因，提出了控制系统的解决方案。研究结果表明，章动失稳的主要原因是系统的相位延迟造成的，尤其对数字控制系统，相位延迟更为严重，使用简单交叉解耦控制不能解决问题，需要对现有的控制器进行优化才能保证系统在高速下的稳定性。     

Error analysis and a new steering law design for spacecraft control system using SGCMGs

Based on the singular value decomposition theory,this paper analyzed the mechanism of escaping/avoiding singularity using generalized and weighted singularity-robust steering laws for a spacecraft that uses single gimbal control moment gyros (SGCMGs) as the actuator for the attitude control system.The expression of output-torque error is given at the point of singularity,proving the incompatible relationship between the gimbal rate and the output-torque error.The method of establishing a balance between the gimbal rate and the output-torque error is discussed,and a new steering law is designed.Simulation results show that the proposed steering law can effectively drive SGCMGs to escape away from singularities.     

Underactuated spacecraft angular velocity stabilization and three-axis attitude stabilization using two single gimbal control moment gyros

Angular velocity stabilization control and attitude stabilization control for an underactuated spacecraft using only two single gimbal control moment gyros （SGCMGs） as actuators is investigated. First of all, the dynamic model of the underactuated spacecraft is established and the singularity of different configurations with the two SGCMGs is analyzed. Under the assumption that the gimbal axes of the two SGCMGs are installed in any direction, and that the total system angular momentum is not zero, a state feedback control law via Lyapunov method is designed to globally asymptotically stabilize the angular velocity of spacecraft. Under the assumption that the gimbal axes of the two SGCMGs are coaxially installed along anyone of the three principal axes of spacecraft inertia, and that the total system angular momentum is zero, a discontinuous state feedback control law is designed to stabilize three-axis attitude of spacecraft with respect to the inertial frame. Furthermore, the singularity escape of SGCMGs for the above two control problems is also studied. Simulation results demonstrate the validity of the control laws.     

Combined control of fast attitude maneuver and stabilization for large complex spacecraft

In remote sensing or laser communication space missions, spacecraft need fast maneuver and fast stabilization in order to accomplish agile imaging and attitude tracking tasks. However, fast attitude maneuvers can easily cause elastic deformations and vibrations in flexible appendages of the spacecraft. This paper focuses on this problem and deals with the combined control of fast attitude maneuver and sta- bilization for large complex spacecraft. The mathematical model of complex spacecraft with flexible appendages and momentum bias actuators on board is presented. Based on the plant model and combined with the feedback controller, modal parameters of the closed-loop system are calculated, and a multiple mode input shaper utilizing the modal information is designed to suppress vibrations. Aiming at reducing vibrations excited by attitude maneuver, a quintic polynomial form rotation path planning is proposed with constraints on the actuators and the angular velocity taken into account. Attitude maneuver simulation results of the control systems with input shaper or path planning in loop are sepa- rately analyzed, and based on the analysis, a combined control strategy is presented with both path planning and input shaper in loop. Simulation results show that the combined control strategy satisfies the complex spacecraft＇s require- ment of fast maneuver and stabilization with the actuators＇ torque limitation satisfied at the same time.     

On using generalized velocity components for manipulator dynamics and control

In this paper modified first-order decoupled equations of motion for rigid serial manipulators are presented. Motivated the results obtained by Loduha and Ravani [Loduha, T.A., Ravani, B., 1995. On first-order decoupling of equations of motion for constrained dynamical systems. Transactions of the ASME Journal of Applied Mechanics 62, 216.] slightly different inertial quasi-velocities are proposed. Instead of generalized velocity components (GVC) one useful form of GVC’s is introduced here. It is shown that the modified quantities (called here modified inertial generalized velocity components—MIGVC) lead to some interesting properties which give different look at manipulator dynamics. Some properties arising from MIGVC are also discussed. An example of 3 d.o.f. 3-D robot DDArm illustrates the results.     

Symmetry groups and similarity analysis for boundary layer control over a wedge using electric forces

In this paper, we consider the control of laminar, incompressible boundary layer for the ionized air flow over a flat plate and wedges through the application of an electric field. Group theory is used to find equivalence transformations of the resulting boundary layer equations. These transformations in turn reveal forms of the electric field function which lead to reductions of the equations via similarity variables. Differences in boundary layer thickness growth and velocity profiles as well as wall shear stresses are shown for the specific choices of the electric field function. The effects of suction and blowing type of boundary conditions are also demonstrated. The applied electric fields lead to a thinning of boundary layer thickness and an increase in wall shear stress. They are also shown to stabilize the velocity component profiles and suppress flow separation in reentrant corners.