scholarly journals Robust Adaptive Sliding Mode Observer Design for T-S Fuzzy Descriptor Systems With Time-Varying Delay

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 46002-46018 ◽  
Author(s):  
Qingling Zhang ◽  
Rongchang Li ◽  
Junchao Ren
Keyword(s):  
Sliding Mode ◽  
Sliding Mode Observer ◽  
Observer Design ◽  
Descriptor Systems ◽  
Time Varying ◽  
Adaptive Sliding Mode ◽  
Time Varying Delay ◽  
Robust Adaptive ◽  
Varying Delay

scholarly journals Variable structure observer design for a class of uncertain systems with a time-varying delay

2012 ◽  
Vol 22 (3) ◽  
pp. 575-583 ◽  
Author(s):  
Wen-Jeng Liu
Keyword(s):  
Uncertain Systems ◽  
Sliding Mode ◽  
Variable Structure ◽  
Observer Design ◽  
State Feedback Control ◽  
Invariance Property ◽  
Time Varying ◽  
Time Varying Delay ◽  
Error System ◽  
Varying Delay

Abstract Design of a state observer is an important issue in control systems and signal processing. It is well known that it is difficult to obtain the desired properties of state feedback control if some or all of the system states cannot be directly measured. Moreover, the existence of a lumped perturbation and/or a time delay usually reduces the system performance or even produces an instability in the closed-loop system. Therefore, in this paper, a new Variable Structure Observer (VSO) is proposed for a class of uncertain systems subjected to a time varying delay and a lumped perturbation. Based on the strictly positive real concept, the stability of the equivalent error system is verified. Based on the generalized matrix inverse approach, the global reaching condition of the sliding mode of the error system is guaranteed. Also, the proposed variable structure observer will be shown to possess the invariance property in relation to the lumped perturbation, as the traditional variable structure controller does. Furthermore, two illustrative examples with a series of computer simulation studies are given to demonstrate the effectiveness of the proposed design method.

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