Robust Controller Design for a Class of Time Delay Systems with Uncertainty

2006 ◽  
Author(s):  
Li Shurong ◽  
Yang Qing ◽  
Xue Xiuli
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Robust Controller ◽  
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.

Robust Controller Design for Descriptor-type Time-delay Systems

2021 ◽  
Vol 20 ◽  
pp. 289-294
Author(s):  
Altug Iftar
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Linear Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Robust Controller ◽  
Frequency Dependent ◽  
Stabilizing Controller ◽  
Linear Time Invariant ◽  
Time Invariant

Linear time-invariant descriptor-type time-delay systems are considered. A robust stabilizing controller design approach for such systems is introduced. Uncertainties both in the time-delays and in other system parameters are considered. A frequency-dependent scalar bound on such uncertainties is first derived. Once this bound is found, the controller design is completely based on the nominal model. However, satisfying a scalar frequency-dependent condition, which uses the derived bound, guarantees robust stability. An example is also presented to illustrate the proposed approach

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