ABSTRACT
In this paper, the distributed finite-time error constrained tracking control for multiple uncertain Euler-Lagrange systems is investigated under directed topology. We consider that the information of the dynamic leader is available to only a portion of the followers. First, for each follower, the error variable relating to the states of the neighbours is designed. Then, by using backstepping method, a distributed finite-time tracking control algorithm is developed with the neural network being utilizsd to estimate the model uncertainties. A tan-type barrier Lyapunov function is used to guarantee that the error variables will not exceed the prescribed bounds. Finite-time stability of the systems is demonstrated by Lyapunov theory and graph theory. Numerical simulations show the advantages of the proposed control strategy by comparisons with the existing methods.
Disclosure statement
No potential conflict of interest was reported by the authors.