Control System Design of the Annular Suspension and Pointing System

Active Vibration Isolation of a Maglev Inertially Stabilized Platform Based on an Improved Linear Extended State Observer

“…is the position vector of the levitated platform, given as = ( ) ′ , and is the force vector, given as = ( ) ′ . As (2) shows, axial translation control and radial rotation control are implemented by the four-point position electromagnetic force, and the two control channels have a coupling relation. The displacement sensors are installed at the same position on which the control force works, and the displacements measured by the sensor satisfy the coupling relation because they are in the same plane, given as:…”

“…The MISP is able to isolate various disturbances from a carrier and provides better line of sight (LOS) stabilization for the highprecision positioning systems used in aviation remote sensing. In the late 1980s, a single-axis magnetic gimbal system was developed with a LOS accuracy from 3 to 8 μrad under an angular disturbance of 48 rad/s [1][2]. In recent years, the high performance of MISPs [3][4] has garnered considerable attention.…”

Explicit symplectic geometric algorithms for quaternion kinematical differential equation

“…Many researchers have studied this problem with the traditional finite difference method since 1970s. Hrastar [27], Cunningham [28] and Wie [3] used the Taylor series method, Miller [29] tried the rotation vector concept, Mayo [30] adopted the Runge-Kutta [31] and the state transition matrix method and Wang [32] compared the Runge-Kutta scheme with symplectic difference scheme, and Funda et al [14] used the periodic normalization to unit magnitude. However, even for the time-invariant ω, the numerical scheme for QKDE may be sensitive to the accumulative computational errors and may also encounter the stiff problem.…”