Information-based Optimal Deployment for a Group of Dynamic Unicycles

In this paper, we investigate the optimal deployment problems for a group of dynamic unicycles in a given region. The information of interests over this region is considered such that the region with higher interests can get more attentions. Firstly, we present a cost function to describe the performance of multi-unicycle systems and find out the optimal locations for unicycles. Then, we transform this information-based optimal deployment problem into a moving target tracking problem and propose a novel kinematic control protocol to drive unicycles to the optimal locations. On this basis, an algorithm is provided for the dynamic unicycles by using the back-stepping techniques. Moreover, we demonstrate the stability and convergence of the proposed multi-unicycle systems. Finally, numerical simulations are provided to illustrate the effectiveness of the proposed approaches.