Robust Finite-Time Control Algorithm Based on Dynamic Sliding Mode for Satellite Attitude Maneuver

Abstract

Robust finite-time control algorithms for satellite attitude maneuvers are proposed in this paper. The standard sliding mode is modified, hence the inherent robustness could be maintained, and this fixed sliding mode is modified to dynamic, therefore the finite-time stability could be achieved. First, the finite -time sliding mode based on attitude quaternion is proposed and the loose finite-time stability is achieved by enlarging the sliding mode parameter. In order to get the strict finite-time stability, a sliding mode based on the Euler axis is then given. The fixed norm property of the Euler axis is used, and a sliding mode parameter without singularity issue is achieved. System performance near the equilibrium point is largely improved by the proposed sliding modes. The singularity issue of finite-time control is solved by the property of rotation around a fixed axis. System finite-time stability and robustness are analyzed by the Lyapunov method. The superiority of proposed controllers and system robustness to some typical perturbations such as disturbance torque, model uncertainty and actuator error are demonstrated by simulation results.

Adaptive Fuzzy Fixed-Time Control for Nonlinear Systems with Unmodeled Dynamics

“…Algorithm 1 Algorithm to design fixed-time fuzzy controller Input: The parameters b i,1 , b i,2 , β i,1 , and β i,2 in fixed-time command filter (21); the parameters γ 1 , γ 2 , c i,1 , c i,2 , c i,3 , and ϵ in virtual control laws (22), (23), and (24); the parameters λ i,1 , λ i,2 , ℓ i,1 , and ℓ i,2 in adaptive laws (25) and (26); Output: The controller u.…”

“…It is widely recognized that achieving a high convergence rate is essential when dealing with tracking issues for nonlinear systems. Finite-time control algorithms offer several advantages compared to asymptotic control algorithms [22][23][24][25]. They not only improve disturbance rejection capabilities, achieve faster convergence rate, and enhance tracking accuracy, but they also guarantee that the control objective can be achieved within a finite time [26][27][28][29].…”

Staring Imaging Attitude Tracking Control Laws for Video Satellites Based on Image Information by Hyperbolic Tangent Fuzzy Sliding Mode Control

“…Much research work has been done on the attitude tracking control for the satellites. Meanwhile, some controllers have been employed in satellites attitude control, such as sliding mode controller, robust controller, and intelligent controller [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34].…”

“…So far, compared with attitude tracking and control for spacecraft and satellites, several satellite staring attitude control methods have been introduced to achieve real-time tracking [24][25][26][27][28][29][30][31][32]. For instance, Lian et al [27] investigated the small satellite attitude problems for staring operation.…”

“…[31], Li and Liang proposed a robust nite-time controller aiming at satellite attitude maneuvers to demonstrate the robustness of some typical perturbations such as disturbance torque, model uncertainty, and actuator error. Li et al [32] implemented the neural network controller for staring imaging, where the real-time performance can be achieved. However, the above staring attitude controller does not consider the image information directly.…”