Test mass capture for drag-free satellite based on RBF neural network adaptive sliding mode control

Lian, Xiaobin; Zhang, Jinxiu; Chang, Lantian; Song, Jianing; Sun, Jun

doi:10.1016/j.asr.2021.10.009

Cited by 15 publications

(7 citation statements)

References 23 publications

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“…4 Stability Proof for Closed-Loop Systems Theorem 1: For the single-input single-output strictly feedback nonlinear system with time delay, under the action of the virtual control signals ( 17), (27), the actual control law (37) and the adaptive law of the ELM neural networks ( 18), ( 28) and (38), by choosing appropriate design parameters, all the states of entire closed-loop system are uniform ultimate boundedness (UUB). Meanwhile, the compensated tracking errors and weights of the system remain in a compact set Ω.…”

Section: Adaptive Elm Control Methods Designmentioning

confidence: 99%

“…However, most of the previous methods employ prior knowledge to determine [25]. With the aim of obtaining a stable adaptive nonlinear parameter update law, not only a nonlinear parameterized neural network model should be constructed by adjusting the mean and variance of each receptive field basis function, but also a Taylor's series expansion should be adopted to convert the nonlinear model into partial linear form [26,27]. In this case, the application of inaccurate centers and widths usually lead to the degradation of approximation performance, which hinders the actual implementation of realtime control system design [28].…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Dynamic Surface Control for a Class of Time Delay Nonlinear Systems with Extreme Learning Machine

jingyang

Liu

2022

Preprint

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This paper is aimed at investigating the problem of adaptive track- ing control for a class of strict-feedback nonlinear systems with unknown ex- ternal disturbance and time delay. First of all, the original system state equa- tion is transformed into a new form of state equation by coordinate trans- formation. In the next part, extreme learning machine is applied to approx- imate the unknown functions which exist in the whole system states. Based on this, adaptive dynamic surface controller is invented to cope with the dif- ferential explosion problem. In addition, the combination of the control law and the compensation signal of the filter improves the accuracy performance. Lyapunov-Krasovskii functional is introduced to handle the influence of time delay successfully. Subsequently, all signals of the whole closed-loop system can be ultimately uniformly bounded through a series of proofs. In the end, simulation examples are presented to verify the feasibility and effectiveness of the proposed algorithm.

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Section: Adaptive Elm Control Methods Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive Dynamic Surface Control for a Class of Time Delay Nonlinear Systems with Extreme Learning Machine

jingyang

Liu

2022

Preprint

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“…The relative motion of spacecraft and space inertial sensor’s test mass in the IBF frame have been modeled by [ 26 ] as follows:

where

and

denote the position vector and the velocity vector of the test mass in IBF frame, respectively.

and

denote the attitude angle and the attitude angular velocity of test mass in IBF frame, respectively.…”

Section: System Dynamics Modeling With Uncertaintymentioning

confidence: 99%

Robust Control Allocation for Space Inertial Sensor under Test Mass Release Phase with Overcritical Conditions

Zhang

Tao

et al. 2023

Sensors

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This paper proposes a robust control allocation for the capture control of the space inertial sensor’s test mass under overcritical conditions. Uncertainty factors of the test mass control system under the overcritical condition are analyzed first, and a 6-DOF test mass dynamics model with system uncertainty is established. Subsequently, a time-varying weight function is designed to coordinate the allocation of 6-DOF generalized forces. Moreover, a robust control allocation method is proposed to distribute the commanded forces and torques into individual electrodes in an optimal manner, which takes into account the system uncertainties. This method transforms the robust control allocation problem into a second-order cone optimization problem, and its dual problem is introduced to simplify the computational complexity and improve the solving efficiency. Numerical simulation results are presented to illustrate and highlight the fine performance benefits obtained using the proposed robust control allocation method, which improves capture efficiency, increases the security margin and reduces allocation errors.

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“…The attitude and position standard errors of the spacecraft are 1

and 1

, respectively. The attitude and position standard errors of test mass are 200

and 1.7

, respectively [ 38 ]. The communication delay

s. In this paper, simulations are validated using thrusts of 100

and 100 mN, respectively.…”

Section: Numerical Simulationsmentioning

confidence: 99%

Attitude-Orbit Coupled Control of Gravitational Wave Detection Spacecraft with Communication Delays

Liu

Yang

et al. 2023

Sensors

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In order to meet the position and attitude requirements of spacecrafts and test masses for gravitational-wave detection missions, the attitude-orbit coordination control of multiple spacecrafts and test masses is studied. A distributed coordination control law for spacecraft formation based on dual quaternion is proposed. By describing the relationship between spacecrafts and test masses in the desired states, the coordination control problem is converted into a consistent-tracking control problem in which each spacecraft or test mass tracks its desired states. An accurate attitude-orbit relative dynamics model of the spacecraft and the test masses is proposed based on dual quaternions. A cooperative feedback control law based on a consistency algorithm is designed to achieve the consistent attitude tracking of multiple rigid bodies (spacecraft and test mass) and maintain the specific formation configuration. Moreover, the communication delays of the system are taken into account. The distributed coordination control law ensures almost global asymptotic convergence of the relative position and attitude error in the presence of communication delays. The simulation results demonstrate the effectiveness of the proposed control method, which meets the formation-configuration requirements for gravitational-wave detection missions.

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Test mass capture for drag-free satellite based on RBF neural network adaptive sliding mode control

Cited by 15 publications

References 23 publications

Adaptive Dynamic Surface Control for a Class of Time Delay Nonlinear Systems with Extreme Learning Machine

Adaptive Dynamic Surface Control for a Class of Time Delay Nonlinear Systems with Extreme Learning Machine

Robust Control Allocation for Space Inertial Sensor under Test Mass Release Phase with Overcritical Conditions

Attitude-Orbit Coupled Control of Gravitational Wave Detection Spacecraft with Communication Delays

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