Output swarm stabilization with cost management for swarm systems via intermittent stabilizing strategy

The cost-management output swarm stabilization problems of general high-order swarm systems are studied via the intermittent stabilizing strategy. The cost management refers to achieve the weighed optimization between the output stabilization performance and the stabilization energy expenditure under the limited cost constraint of swarm systems. Firstly, a new dynamic output feedback swarm stabilizing protocol with the cost management index is proposed, where the limited cost is given previously. Then, the whole dynamics of the swarm system is decomposed into the swarm output macroscopic movement and the microcosmic relative movement. An explicit expression of the macroscopic movement function is determined to describe the macroscopic movement trajectory. Sufficient conditions of the cost-management output swarm stabilization via intermittent stabilizing strategy are derived. Finally, a simulation example is provided to demonstrate the effectiveness of the theorical results.