Design of large-scale time-delayed systems with dead-zone input via variable structure control

Automatica ◽  
2005 ◽  
Vol 41 (7) ◽  
pp. 1239-1246 ◽  
Author(s):  
Kuo-Kai Shyu ◽  
Wen-Jeng Liu ◽  
Kou-Cheng Hsu
2013 ◽  
Vol 135 (3) ◽  
Author(s):  
Cunchen Gao ◽  
Lin Zhao

In this paper, a novel decentralized variable structure control (DVSC) scheme is proposed for a class of large-scale time-delayed systems (LSSs) with mismatched interconnections and uncertainties. New invariance conditions are derived such that each subsystem in the switching surface is completely invariant to both delay interconnections and uncertainties. It also shows that the stability of each closed-loop subsystem is guaranteed. By constructing auxiliary function and applying matrix norm inequality technique, the developed DVSC law for the interconnected system is realized independently through the delay terms. Moreover, the chattering around the switching surface can be reduced by the proposed design approach. Illustrative example is given to verify the validity of the developed controller.


2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
C. H. Chai ◽  
Johari H. S. Osman

A new local controller for discrete-time integral variable structure control of a large-scale system with matched and unmatched uncertainty is presented. The local controller is able to bring the large-scale system into stability by using only the states feedback from individual subsystem itself. A new theorem is established and proved that the controller is able to handle the effect of interconnection for the large-scale system with matched and unmatched uncertainty, and the system stability is ensured. The controller is able to control the system to achieve the quasi-sliding surface and remains on it. The results showed a fast convergence to the desired value and the attenuation of disturbance is achieved.


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