In this paper, we present a finite-time sliding mode control (FSMC) with an integral finitetime sliding surface for applying the concept of graph theory to a distributed wheeled mobile robot (WMR) system. The kinematic and dynamic property of the WMR system are considered simultaneously to design a finite-time sliding mode controller. Next, consensus and formation control laws for distributed WMR systems are derived by using the graph theory. The kinematic and dynamic controllers are applied simultaneously to compensate the dynamic effect of the WMR system. Compared to the conventional sliding mode control (SMC), fast convergence is assured and the finite-time performance index is derived using extended Lyapunov function with adaptive law to describe the uncertainty. Numerical simulation results of formation control for WMR systems shows the efficacy of the proposed controller.

• 박동주(Electronic Engineering, Pusan National University) | Dong-Ju Park
• 문정환(Electronic Engineering, Pusan National University) | Jeong-Whan Moon
• 한성익(Mechanical Engineering, Pusan National University) | Seong-Ik Han Corresponding author