高阶非线性系统自适应模糊有限时间状态约束控制  

Adaptive fuzzy finite-time control for high-order nonlinear system with state constraints

作　　者：范彦丽 李永明 佟绍成[1] FAN Yanli;LI Yongming;TONG Shaocheng(School of Electrical Engineering,Liaoning University of Technology,Jinzhou 121001)

机构地区：[1]辽宁工业大学电气工程学院,锦州121001

出　　处：《南京信息工程大学学报（自然科学版）》2021年第1期79-86,共8页Journal of Nanjing University of Information Science & Technology（Natural Science Edition）

基　　金：国家自然科学基金(61822307,61773188)。

摘　　要：针对一类具有状态约束的非严格反馈高阶非线性系统,研究一种自适应模糊有限时间跟踪控制问题.首先,利用模糊逻辑系统逼近不确定性非线性函数,在此基础上,采用障碍Lyapunov函数,解决状态约束问题,通过障碍加幂积分方法和反步递推技术,提出了一种有限时间控制设计方法.在有限时间Lyapunov稳定意义下,严格证明闭环系统半全局实际有限时间稳定且系统的状态不超出给定的约束边界,并实现了有限时间跟踪控制目标.最后,仿真研究进一步验证了所提出控制方法的有效性.The adaptive fuzzy finite-time output tracking control is addressed for a class of non-strict feedback high-order nonlinear systems with state constraints.The fuzzy logic systems are utilized to identify the unknown nonlinearities of the controlled systems,based on which the problem of state constraints is tackled by adopting barrier Lyapunov function.An adaptive finite-time control approach is developed combining backstepping control algorithm with adding a barrier power integrator.According to the finite-time Lyapunov stability theory,the proposed adaptive finite-time control scheme could guarantee the closed-loop system to be semi-globally practically finite-time stable and the states are ensured not to transgress their constrained sets.Moreover,the goal of finite-time tracking control is achieved.Finally,a numerical simulation is given to verify the effectiveness of the proposed adaptive finite-time control approach.

关 键 词：有限时间稳定 模糊控制 加幂积分 障碍Lyapunov函数 高阶非线性系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]