Open AccessFinite‐time exact tracking control for a class of non‐linear dynamical systems
Author(s) -
Hussian Akbar,
Zhao Xudong,
Zong Guangdeng
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.0093
Subject(s) - backstepping , control theory (sociology) , sliding mode control , controller (irrigation) , convergence (economics) , terminal sliding mode , cascade , lyapunov stability , mode (computer interface) , computer science , stability (learning theory) , lyapunov function , series (stratigraphy) , mathematics , nonlinear system , adaptive control , engineering , control (management) , physics , artificial intelligence , paleontology , quantum mechanics , chemical engineering , machine learning , agronomy , economics , biology , economic growth , operating system
In this study, a new distributed fast terminal sliding mode exactly tracking control method is proposed for a class of non‐integral cascade high‐order uncertain non‐linear systems. Based on the concept of hierarchical design, a series of decentralised sliding mode surfaces are first developed in the authors' design scheme. Every sliding mode surface is independent of each other, besides, on this designed sliding mode surface, finite‐time convergence characteristic can be guaranteed. By using backstepping technology and dynamic surface control method, a finite‐time exact tracking controller is finally developed. Based on Lyapunov stability theory, the stability of system has been theoretically proved, and in finite time, all the closed‐loop system signals ultimately converge to the origin. Simulation results verify the effectiveness of the proposed approach.