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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 940276, 18 pages
Research Article

Chaotic Trajectory Design for Monitoring an Arbitrary Number of Specified Locations Using Points of Interest

Automation and Applied Informatics Department, “Politehnica” University of Timisoara, Building V. Parvan No. 2, 300223 Timisoara, Romania

Received 10 November 2012; Revised 3 December 2012; Accepted 4 December 2012

Academic Editor: Wang Xing-yuan

Copyright © 2012 Daniel-Ioan Curiac and Constantin Volosencu. 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.


The design of unpredictable trajectories for autonomous patrol robots when accomplishing surveillance missions represents, in many situations, a key desideratum. Solutions to this problem had often been associated with chaotic dynamics. While for area surveillance missions, relevant techniques to produce chaotic motion had been reported, in the case of monitoring a number of precise locations no viable solutions had been proposed. The present paper covers this research gap by offering a complex methodology that involves a mixture of two types of chaotic trajectory segments, based on Lorenz and Chen systems, in obtaining unpredictable trajectories when an arbitrary number of specified locations have to be monitored. The developed path-planning strategy produces trajectories that can cope efficiently with dynamical degradation of chaos or with obstacle avoidance issues.