Open AccessDecentralised fault compensation of time‐delayed interactions and dead‐zone actuators for a class of large‐scale non‐linear systems
Author(s) -
Yoo Sung Jin
Publication year - 2015
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.2014.0334
Subject(s) - control theory (sociology) , actuator , compensation (psychology) , class (philosophy) , dead zone , computer science , scale (ratio) , fault (geology) , control engineering , engineering , control (management) , artificial intelligence , geology , physics , psychology , oceanography , quantum mechanics , psychoanalysis , seismology
An approximation‐based decentralised adaptive fault compensation (FC) problem is addressed for large‐scale non‐linear time‐delay systems with unknown faults in both time‐delayed C 1 non‐linear interconnections and non‐symmetric dead‐zone actuators. Error surfaces constrained by prescribed performance bounds, which characterise the convergence rate and maximum overshoot of control errors, are presented to provide predefined bounds of control errors. Then, we design a memoryless decentralised FC control system using the constrained‐surfaces‐based dynamic surface design methodology, without constructing a dead‐zone inverse and requiring the information about dead‐zone parameters and time‐delayed interactions. For the compensator design, the function approximation technique using neural networks is applied to adaptively estimate unknown non‐linear effects and changes in model dynamics because of time‐delayed interaction and dead‐zone actuator faults. It is shown from Lyapunov stability theorem that all the error surfaces are preserved within the prescribed performance bounds and finally converge to an adjustable neighbourhood of the origin. Therefore guaranteed transient performance is achieved at the moment the faults occur.