title: Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients.
abstract: In this paper, adaptive neural control is presented for a class of strict-feedback nonlinear systems with unknown time delays. The proposed design method does not require a priori knowledge of the signs of the unknown virtual control coefficients. The unknown time delays are compensated for using appropriate Lyapunov-Krasovskii functionals in the design. It is proved that the proposed backstepping design method is able to guarantee semiglobal uniformly ultimately boundedness of all the signals in the closed-loop. In addition, the output of the system is proven to converge to a small neighborhood of the origin. Simulation results are provided to show the effectiveness of the proposed approach.
authors.affiliation: Department of Electrical and Computer Engineering, National University of Singapore. elegesz@nus.edu.sg
authors.forename: Shuzhi Sam
authors.initials: SS
authors.lastname: Ge
authors.forename: Fan
authors.initials: F
authors.lastname: Hong
authors.forename: Tong Heng
authors.initials: TH
authors.lastname: Lee