Adaptive neural output feedback control for stochastic nonlinear time-delay systems with unknown control directions

• Published in: Neural computing & applications Vol. 25; no. 7-8; pp. 1979 - 1992
• Main Authors: Yu, Zhaoxu, Li, Shugang, Du, Hongbin
• Format: Journal Article
• Language: English
• Published: London Springer London 01.12.2014; Springer
• Subjects: Adaptative systems; Applied sciences; Artificial Intelligence; Computational Biology/Bioinformatics; Computational Science and Engineering; Computer Science; Computer science; control theory; systems; Control system analysis; Control system synthesis; Control theory. Systems; Data Mining and Knowledge Discovery; Exact sciences and technology; Image Processing and Computer Vision; Modelling and identification; Original Article; Probability and Statistics in Computer Science; Unknown control direction; Neural network; Time-varying delay; Stochastic nonlinear systems; Output feedback; Non linear control; Delay control; Feedback regulation; Control synthesis; Parameterization; Adaptive control; Adaptive method; Stochastic system; Time varying system; Uncertain system; Delay time; Closed loop; Delay system; Non linear system; Recursive algorithm; Backstepping control; Closed feedback; Neurocontrollers; Linear system; Linear transformation; Lyapunov function; Payoff function
• ISSN: 0941-0643; 1433-3058
• DOI: 10.1007/s00521-014-1686-x

This paper first focuses on the problem of adaptive output feedback stabilization for a more general class of stochastic nonlinear time-delay systems with unknown control directions. By using a linear state transformation, the original system is transformed to a new system for which control design becomes feasible. Then a novel adaptive neural network (NN) output feedback control strategy, which only contains one adaptive parameter, is developed for such systems by combining the input-driven filter design, the backstepping technique, the NN’s parameterization, the Nussbaum gain function method and the Lyapunov–Krasovskii approach. The proposed control design guarantees that all signals in the closed-loop systems are 4-moment (or 2-moment) semi-globally uniformly bounded. Finally, two simulation examples are given to demonstrate the effectiveness and the applicability of the proposed control design.