Abstract
In this article, a novel finite-time attitude-tracking control scheme is proposed by using the prescribed performance control (PPC) method for the spacecraft system under the external disturbance and an uncertain inertia matrix. First, a novel polynomial finite-time performance function (FTPF) was used to avoid the complex calculation of exponential function from conventional FTPF. Then, a simpler error transformation was introduced to guarantee that the attitude-tracking error converges to a preselected region in prescribed time. Subsequently, a robust adaptive controller was proposed by using the backstepping method and the sliding mode control (SMC) technique. Unlike the existing attitude-tracking control results, the proposed PPC scheme guarantees the performance of spacecraft system under the static and transient conditions. Meanwhile, the state trajectory of system can be completely drawn into the designed sliding surface. The stability of the control scheme is proven rigorously by the Lyapunov’s theory of stability. Finally, the simulations show that the convergence rate and the convergence accuracy are better for the tracking errors of spacecraft system under the proposed control scheme.
Highlights
Over the past several decades, the attitude-tracking control of spacecraft systems has been extensively investigated due to its extensive applications during the execution of space missions, such as earth imaging, spacecraft docking and rendezvous, satellite surveillance and multiorbit task, etc
The control target is to study a robust adaptive prescribed performance control (PPC) scheme such that: (1) the boundedness of all signals is ensured; and (2) the attitude-tracking error qe can converge to a preselected adjustable boundary in prescribed time, which can be expressed by the following inequality:
By using the sliding mode control (SMC) technology and the boundary estimation method, the state trajectory of system can be completely driven to the sliding surface
Summary
Over the past several decades, the attitude-tracking control of spacecraft systems has been extensively investigated due to its extensive applications during the execution of space missions, such as earth imaging, spacecraft docking and rendezvous, satellite surveillance and multiorbit task, etc. By combining the SMC technology and the adaptive control method, [23,24,25] addressed the attitude-tracking control issue of spacecrafts with an unknown inertia matrix and the external disturbance. Inspired by the above discussions, the prescribed-time attitude-tracking problem continues to study by using the PPC method and the SMC technology, and the external disturbance and an uncertain inertia matrix are considered simultaneously in this article. Different from the previous SMC works [21,22,23,24,25,26,27,28,29], a novel robust adaptive controller with prescribed performance is designed to guarantee that the state trajectory of system is drawn into the designed sliding surface completely by the approach of bounded estimation;.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
