Adaptive NN Backstepping Output-Feedback Control for Stochastic Nonlinear Strict-Feedback Systems With Time-Varying Delays

• Published in: IEEE transactions on systems, man and cybernetics. Part B, Cybernetics Vol. 40; no. 3; pp. 939 - 950
• Main Authors: Chen, Weisheng, Jiao, Licheng, Li, Jing, Li, Ruihong
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.06.2010
• Subjects: Adaptive control; Adaptive control systems; Adaptive output-feedback control; Algorithms; Backstepping; Computer Simulation; Control systems; Cybernetics; Delay; Delay effects; Delay systems; Differential equations; Feedback; Models, Statistical; neural network (NN); Neural networks; Nonlinear control systems; Nonlinear Dynamics; nonlinear observer; Nonlinearity; Programmable control; stochastic nonlinear strict-feedback systems; Stochastic Processes; Stochastic systems; Stochasticity; Time varying systems; time-varying delays
• ISSN: 1083-4419; 1941-0492; 1941-0492
• DOI: 10.1109/TSMCB.2009.2033808

For the first time, this paper addresses the problem of adaptive output-feedback control for a class of uncertain stochastic nonlinear strict-feedback systems with time-varying delays using neural networks (NNs). The circle criterion is applied to designing a nonlinear observer, and no linear growth condition is imposed on nonlinear functions depending on system states. Under the assumption that time-varying delays exist in the system output, only an NN is employed to compensate for all unknown nonlinear terms depending on the delayed output, and thus, the proposed control algorithm is more simple even than the existing NN backstepping control schemes for uncertain systems described by ordinary differential equations. Three examples are given to demonstrate the effectiveness of the control scheme proposed in this paper.