scholarly journals Robust Controller Design for Uncertain Time Delay Systems with Nonlinear Perturbations: An LMI Approach

2003 ◽  
Vol 46 (4) ◽  
pp. 1483-1489 ◽  
Author(s):  
Dong YUE ◽  
Sangchul WON ◽  
Ohmin KWON
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Nonlinear Perturbations ◽  
Lmi Approach ◽  
Robust Controller ◽  
Uncertain Time ◽  
Robust Controller Design

Robust Controller Design for Discrete Uncertain Multiple Time-Delay Systems

1997 ◽  
Vol 119 (1) ◽  
pp. 122-127 ◽  
Author(s):  
Feng-Hsiag Hsiao ◽  
Shing-Tai Pan ◽  
Ching-Cheng Teng
Keyword(s):  
Time Delay ◽  
Uncertain Systems ◽  
Controller Design ◽  
Delay Systems ◽  
Multiple Delays ◽  
Multiple Time ◽  
Time Delay Systems ◽  
Ultimate Boundedness ◽  
Robust Controller ◽  
Robust Controller Design

We derive a variety of succinct criteria of robust stability for discrete uncertain systems which contain multiple delays and a class of series nonlinearities. Each result is expressed by a brief inequality and corresponds to compromise between simplicity and sharpness. The properties of norm are employed to investigate robustness conditions that guarantee asymptotic stability rather than ultimate boundedness of trajectories. It is shown that the uncertainties, nonlinearities, and delays are the factors of instability of the overall system, between which some compromise is necessary.

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