Observer-based robust adaptive control for uncertain stochastic Hamiltonian systems with state and input delays

作者：Weiwei Sun, Lianghong Peng · 发表于：Nonlinear Analysis Modelling and Control · 年份：2014 · DOI：10.15388/na.2014.4.8 · 被引用次数：51 · 研究领域：Control and Stability of Dynamical Systems、Advanced Control Systems Optimization、ATP Synthase and ATPases Research

This paper investigates the observer-based robust adaptive control problem for a class of stochastic Hamiltonian systems. The systems under consideration relate to parameter uncertainties, unknown state time-delay and input delay. The purpose is to design a delay-dependent observer-based adaptive control law such that for all admissible uncertainties, as well as stochasticity, the closed-loop error system is robustly asymptotically stable in the mean square. Several sufficient conditions are presented to ensure the rationality and validity of the proposed control laws and observers, which are derived based on Lyapunov functional method. Numerical simulations spell out to illustrate the effectiveness of the proposed theories.