Abstract
This paper presents the application of the proportional-integral-derivative (PID) controller to the flight control system (FCS) for two-dimensional (2D) differential geometric (DG) guidance and control problem. In particular, the performance of the designed FCS is investigated. To this end, the commanded angle-of-attack is firstly developed in the time domain using the classical DG formulations. Then, the classical PID controller is introduced to develop a FCS so as to form the 2D DG guidance and control system, and the PID controller parameters are determined by the Ziegler-Nichols method as well as the Routh-Hurwitz stability algorithm to guarantee the convergence of the system error. The results demonstrate that the designed controller yields a fast responding system, and the resulting DG guidance and control system is viable and effective in a realistic missile defense engagement.
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The earlier edition of this paper was presented at 2006 Chinese Control Conferece.
Chaoyong Li received his B.S. in Aerospace Engineering from Harbin Institute of Technology (HIT), in 2003. Currently, he is a Ph.D. Candidate of the Department of Aerospace Engineering in HIT. His current field of research is nonlinear control and its applications to missile guidance and control systems. Currently, he is a student member of AIAA and JSASS.
Wuxing Jing received his M.S. degree (1989) and Ph.D. (1994) from HIT. From 2000 to 2001, he was a visiting fellow of the Department of Aerospace Engineering, University of Glasgow. Currently, he is a Professor at the Department of Aerospace Engineering in HIT. His research interests are spacecraft dynamic and control, nonlinear system control.
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Li, C., Jing, W. Application of PID controller to 2D differential geometric guidance problem. J. Control Theory Appl. 5, 285–290 (2007). https://doi.org/10.1007/s11768-006-6109-9
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DOI: https://doi.org/10.1007/s11768-006-6109-9