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

Observer-based robust adaptive control for uncertain stochastic Hamiltonian systems with state and input delays
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具有状态和输入延迟的不确定随机哈密顿系统的基于观测器的鲁棒自适应控制

DOI:
10.15388/na.2014.4.8
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发表时间:
2014-10
期刊:
Nonlinear Analysis: Modelling and Control
影响因子:
--
通讯作者:
Lianghong Peng
Lianghong Peng
中科院分区:
其他
文献类型:
--
作者:
Weiwei Sun;Lianghong Peng

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研究了一类随机Hamilton系统的鲁棒自适应控制问题。所考虑的系统涉及参数不确定性、未知状态时滞和输入时滞。目的是设计一种基于时滞相关的自适应控制律,使得对于所有允许的不确定性,以及随机性,闭环误差系统是鲁棒渐近稳定的均方。基于李雅普诺夫泛函方法,给出了保证所设计的控制律和观测器合理性和有效性的充分条件。数值模拟结果说明了所提出的理论的有效性。
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.
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