Higher-order tracking properties of nonlinear adaptive control systems

被引:6
|
作者
Wen, Liyan [1 ,2 ]
Tao, Gang [2 ]
Song, Ge [2 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Peoples R China
[2] Univ Virginia, Dept Elect & Comp Engn, Charlottesville, VA 22903 USA
基金
美国国家科学基金会;
关键词
Higher-order convergence; Adaptive control; Parameter estimation; Output tracking; Nonlinear system; ACTUATOR FAILURE COMPENSATION; SCHEME; FORM;
D O I
10.1016/j.sysconle.2020.104781
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
While the asymptotic output tracking property has been proven for many nonlinear adaptive control systems, their higher-order output tracking property has not been reported. In this paper, the higher-order derivative convergence of the output tracking error e(t) is studied for nonlinear adaptive control systems using the feedback linearization design. It is proven that not only each error component e(j)(t) from e(t) = [e(1)(t), e(2)(t), ..., e(m)(t)](T) converges to zero asymptotically but also its up to kth-order time-derivative e(j)((k))(t) converges to zero, for k = 1, 2, ..., rho(j), where , = rho(j), j = 1, 2, ..., m, are the control relative degrees of the nonlinear system with m inputs. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页数:8
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