不确定非完整系统的自适应有限时间镇定

摘要

研究了一类具有非线性参数化链式非完整系统自适应有限控制问题.基于参数分离技术,input-state-scaling变换技巧和backstepping设计方法构造连续时变反馈有限时间自适应控制律.通过切换策略有效克服系统在x0（t0）=0不能控的现象,该控制律保证闭环系统同Lyapunov稳定和有限时间收敛.%In this paper, adaptive finite-time control is presented for a class of uncertain nonholonomic systems in chained form with nonlinear parameterization. Using parameter separation, state scaling and backstepping, an adaptive finite-time control law is obtained in the form of continuous time-invariant feedback. Both Lyapunov stability and finite time convergence are guaranteed by appropriately choosing the design parameters. An adaptive control based switching strategy is used to overcome the uncontrollability problem associated with x0（t0 ）=0 .