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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 412509, 13 pages
http://dx.doi.org/10.1155/2013/412509
Research Article

Output Tracking Control of Switched Hybrid Systems: A Fliess Functional Expansion Approach

1Control and Simulation Center, Harbin Institute of Technology, Harbin, Heilongjiang 150080, China
2Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150080, China
3Harbin Institute of Technology, Harbin, Heilongjiang 150080, China
4Department of Mechanical Engineering, Harbin Institute of Technology, Harbin, Heilongjiang 150080, China

Received 5 April 2013; Accepted 18 May 2013

Academic Editor: Rongni Yang

Copyright © 2013 Fenghua He et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The output tracking problem is investigated for a nonlinear affine system with multiple modes of continuous control inputs. We convert the family of nonlinear affine systems under consideration into a switched hybrid system by introducing a multiple-valued logic variable. The Fliess functional expansion is adopted to express the input and output relationship of the switched hybrid system. The optimal switching control is determined for a multiple-step output tracking performance index. The proposed approach is applied to a multitarget tracking problem for a flight vehicle aiming for one real target with several decoys flying around it in the terminal guidance course. These decoys appear as apparent targets and have to be distinguished with the approaching of the flight vehicle. The guidance problem of one flight vehicle versus multiple apparent targets should be considered if no large miss distance might be caused due to the limitation of the flight vehicle maneuverability. The target orientation at each time interval is determined. Simulation results show the effectiveness of the proposed method.