Abstract
This paper investigates an adaptive coordinated control problem of spacecraft formation flying (SFF) system subject to uncertain mass and external perturbations. First, a general unified structure is proposed to represent the adjustable performance functions like the exponentially and appointed-time convergent ones. Then, an adaptive coordinated controller is developed based on a two-layer performance envelope to characterize the transient and steady-state formation maneuvering behaviors quantitatively of SFF system. Compared with the existing coordinated control approaches, the prominent advantage of the proposed one is that the preassigned position tracking and consensus tracking performance is guaranteed simultaneously while maintaining the scheduled formation configuration. Meanwhile, the users can configure and adjust the convergence rate (like the exponential or finite-time convergence) of the formation tracking errors by choosing different parameters arbitrarily in the unified structure for the performance functions. Finally, a group of numerical examples are organized to validated the effectiveness of the proposed coordinated control approach.
Highlights
The past few decades have witnessed the prosperous development of the spacecraft formation flying (SFF) system owing to its widespread application to various space missions such as earth observation, gravitational field mapping and on-orbit distributed sensing, to just name a few[1]-[3]
In this paper, an adaptive coordinated control approach for the spacecraft formation flying has been developed with guaranteed tracking performance and preservation for the scheduled formation configuration intact
Compared with the existing coordinated control approaches, the major difference is that the transient and steady-state performance of the position tracking errors and consensus errors are guaranteed under the devised controller
Summary
The past few decades have witnessed the prosperous development of the spacecraft formation flying (SFF) system owing to its widespread application to various space missions such as earth observation, gravitational field mapping and on-orbit distributed sensing, to just name a few[1]-[3]. A finite-time relative position coordinated tracking controller was derived by state feedback for the SFF system subject to unknown velocity information in Ref. The inherent limitations like complex forms and discontinuous phenomenon of the developed controller mentioned above cannot be avoided To tackle this problem, appointed-time convergent performance function concept was first proposed in Ref. Compared with the traditional finite-time or fixed-time control approaches, the fractional state feedback technique and symbolic functions are avoided Due to this advantage, appointed-time convergent performance function has been extended to various engineering applications such as the spacecraft attitude system and flexible air-breathing hypersonic vehicles[32],[33]. (2) An adaptive coordinated control approach is developed based on the unified structure of the performance functions for the SFF system subject to unknown external perturbations and uncertain mass changes.
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