On Finite-Time Anti-Saturated Proximity Control with a Tumbling Non-Cooperative Space Target

Abstract

For the challenging problem that a spacecraft approaches a tumbling target with non-cooperative maneuver, an anti-saturated proximity control method is proposed in this paper. First, a brand-new appointed-time convergent performance function is developed via exploring Bézier curve to quantitatively characterize the transient and steady-state behaviors of the pose tracking error system. The major advantage of the proposed function is that the actuator saturation phenomenon at the beginning can be effectively reduced. Then, an anti-saturated pose tracking controller is devised along with an adaptive saturation compensator. Wherein, the finite-time stability of both the pose and its velocity error signals are guaranteed simultaneously in the presence of actuator saturation. Finally, 2 groups of illustrative examples are organized and verify that the close-range proximity is effectively realized even with unknown target maneuver.

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

“…Moreover, the Φ(•) discussed in this article is identified using FLSs. By employing a combination of update laws (25) and (26), the challenges posed by the uncertainties Φ(•) in nonlinear control systems can be effectively addressed. Moreover, this paper introduces a fixed-time tracking controller integrating adaptation laws.…”

“…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].…”

Performance‐adjustable PPC policies for spacecraft attitude‐orbit coupled tracking under event‐triggered sampling

“…The concept of autonomous spacecraft capturing free-flying tumbling objects in orbit has received a lot of attention in recent years. 1,2 It will be used in many near-future missions, such as refueling powerless satellites, inspecting and repairing malfunctioning satellites, removing space debris, and other space missions. 3,4 The execution of tasks by autonomous spacecraft saves a lot of manpower and material resources while increasing the mission frequency.…”

“…The orbital control with ηi (t) = −0.015(𝜂 i (t) − 0.3) and φt (t) = −0.2𝜙 t (t) 2 in Figure 3 130 (700 s) 5.385 s…”

Feasibility analysis and saturation control for underactuated spacecraft formation reconfiguration in elliptic orbits

“…The common approaches to solve the input saturation problem can be divided into two ways. [29][30][31][32][33][34] One way is to smooth the input signal by constructing a Gaussian error function or a hyperbolic tangent function. 35 Another idea is to design an auxiliary system to compensate for input constraint, in which the auxiliary system is mainly driven by the difference between the maximum output of the thruster and the actual control signal.…”