Prediction-based discrete-time adaptive nonlinear stochastic control

Adaptive control of a class of discrete-time parametric-strict-feedback nonlinear systems with additive white noises is considered in this paper. The control law is designed based on weighted least squares (WLS) algorithms and on recursive adaptive predictors. Global stability and tracking error bounds are established for the closed-loop systems. Index Terms - Adaptive nonlinear control, discrete time, global stability, prediction, stochastic systems.