In this paper, the multi-agent flocking problem is investigated in a unified optimal control framework. The flocking characteristics, such as velocity alignment, navigation, cohesion, and collision/obstacle avoidance, are accomplished by formulating them into respective cost function terms. The resultant nonquadratic cost function poses a challenging optimal control problem. A novel inverse optimal control strategy is adopted to derive an analytical optimal control law. The optimality and asymptotic stability are proved and the distributed feedback control law only requires local information to achieve the flocking behaviors. Various simulation scenarios are used to demonstrate the effectiveness of the optimal flocking algorithm.
Flocking of Multi-Agent Systems Using a Unified Optimal Control Approach
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received October 28, 2011; final manuscript received June 25, 2013; published online August 23, 2013. Assoc. Editor: Marco P. Schoen.
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Wang, J., and Xin, M. (August 23, 2013). "Flocking of Multi-Agent Systems Using a Unified Optimal Control Approach." ASME. J. Dyn. Sys., Meas., Control. November 2013; 135(6): 061005. https://doi.org/10.1115/1.4024903
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