Adaptive fuzzy containment control of second-order systems with bounded control inputs

This paper develops an adaptive fuzzy bounded control design for containment control of uncertain nonlinear second-order systems with multiple leaders. Function approximate technique using fuzzy logic systems is utilized to model the follower agents with unknown dynamics. Adaptive fuzzy controllers using command filter backstepping technique are designed, whose bounds are known a priori and can be adjusted by the feedback gains. The containment control performance is achieved by applying the proposed control method. A simulation is provided to corroborate the obtained theoretical results.