State feedback containment control of multi-agents system with lipschitz nonlinearity

Siti Nurfarihah Sheikh Hanis (Universiti Teknikal Malaysia Melaka)
Ahmad Sadhiqin Mohd Isira (Universiti Teknikal Malaysia Melaka)
Azdiana Md Yusop (Universiti Teknikal Malaysia Melaka)
Mohd Hendra Hairi (Universiti Teknikal Malaysia Melaka)
Wong Chunyan (Beijing Institute of Technology)
Cherry D. Casuat (Technological Institute of the Philippines)
Zaiton Abdul Mutalip (Universiti Teknikal Malaysia Melaka)

Indonesian Journal of Electrical Engineering and Computer Science
Vol 23, No 3: September 2021

This paper studies the containment control problem of the leader-follower configuration in a multi-agents system included with a type of nonlinearity such as Lipschitz with respect to continuous-time and directed spanning forest communication network topology. A state feedback containment controller is designed and proposed with control theory and the Laplacian network structure where it utilizes the relative information of each agent. The controller designed ensures that the followers are contained by the leaders that form the convex hull formation. For the containment to happen, a minimum of one leader is needed to have a direct communication trajectory to the followers. Lyapunov stability theory is used to provide the stability conditions after analyzing the network structure. Finally, it has been shown from simulation that the followers are contained successfully with the proposed controller.