A Novel Framework for Backstepping-Based Control of Discrete-Time Strict-Feedback Nonlinear Systems With Multiplicative Noises

• Published in: IEEE transactions on automatic control Vol. 66; no. 4; pp. 1484 - 1496
• Main Authors: Wang, Min, Wang, Zidong, Dong, Hongli, Han, Qing-Long
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Aadaptive control; Backstepping; backstepping-based control; Control stability; Control systems; Control theory; Controllers; Discrete time systems; discrete-time strict-feedback systems; Feedback control; Gaussian distribution; Lyapunov methods; multiplicative noises; Neural networks; neural networks (NNs); Noise; Noise control; Noise intensity; Nonlinear systems; Radial basis function; Stability criteria; Stochastic processes; Weight

This article is concerned with the exponential mean-square stabilization problem for a class of discrete-time strict-feedback nonlinear systems subject to multiplicative noises. The state-dependent multiplicative noise is assumed to occur randomly based on a stochastic variable obeying the Gaussian...