A Combined Backstepping and Stochastic Small-Gain Approach to Robust Adaptive Fuzzy Output Feedback Control

A Combined Backstepping and Stochastic Small-Gain Approach to Robust Adaptive Fuzzy Output Feedback Control
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鲁棒自适应模糊输出反馈控制的反步和随机小增益相结合的方法

DOI:
10.1109/tfuzz.2012.2213260
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发表时间:
2013-04
影响因子:
11.9
通讯作者:
Chen, Bing
Chen, Bing
中科院分区:
计算机科学1区
文献类型:
--
作者:
Tong, Shaocheng;Wang, Tong;Li, Yongming;Chen, Bing

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针对一类随机非线性严格反馈系统,研究了一种不需要状态测量的自适应模糊输出反馈控制方法。本文所讨论的随机非线性系统被假定具有非结构化的不确定性(未知的非线性函数),并在未建模的动态,动态干扰的存在。模糊逻辑系统用于逼近非结构不确定性,模糊状态观测器用于估计不可测状态。将反演设计技术与随机小增益方法相结合,提出了一种新的自适应模糊输出反馈控制方法。证明了所提出的控制方法能够保证闭环系统在概率意义下是输入-状态-实际稳定的(ISpS),并且通过适当选择设计参数,观测器误差和系统输出收敛到原点的一个小邻域内.仿真结果表明,所提出的自适应模糊控制方法具有令人满意的控制性能。仿真结果表明,所提出的自适应模糊控制方法对系统的动态不确定性具有鲁棒性。
In this paper, an adaptive fuzzy output feedback control approach is investigated for a class of stochastic nonlinear strict-feedback systems without the requirement of states measurement. The stochastic nonlinear system addressed in this paper is assumed to possess unstructured uncertainties (unknown nonlinear functions) and, in the presence of unmodeled dynamics, dynamics disturbances. Fuzzy logic systems are used to approximate the unstructured uncertainties, and a fuzzy state observer is designed to estimate the unmeasured states. By combining the backstepping design technique with the stochastic small-gain approach, a new adaptive fuzzy output feedback control approach is developed. It is proved that the proposed control approach can guarantee that the closed-loop system is input-state-practically stability (ISpS) in probability, and the observer errors and the output of the system converge to a small neighborhood of the origin by appropriate choice of the design parameters. Simulation results are included to indicate that the proposed adaptive fuzzy control approach has a satisfactory control performance. In addition, the simulation comparisons with the previous methods show that the proposed adaptive fuzzy control approach has robustness to the dynamical uncertainties.
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