Premium
Adaptive practical preassigned finite‐time stability for a class of pure‐feedback systems with full state constraints
Author(s) -
Liu Yang,
Liu Xiaoping,
Jing Yuanwei
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4532
Subject(s) - backstepping , control theory (sociology) , nonlinear system , affine transformation , class (philosophy) , stability (learning theory) , full state feedback , lyapunov function , state (computer science) , function (biology) , mathematics , controller (irrigation) , computer science , adaptive control , control (management) , algorithm , physics , quantum mechanics , artificial intelligence , machine learning , evolutionary biology , pure mathematics , agronomy , biology
Summary This paper focuses on an adaptive practical preassigned finite‐time control problem for a class of unknown pure‐feedback nonlinear systems with full state constraints. Two new concepts, called preassigned finite‐time function and practical preassigned finite‐time stability, are defined. In order to achieve the main result, the pure‐feedback system is first transformed into an affine strict‐feedback nonlinear system based on the mean value theorem. Then, an adaptive preassigned finite‐time controller is obtained based on a modified barrier Lyapunov function and backstepping technique. Finally, simulation examples are exhibited to demonstrate the effectiveness of the proposed scheme.