scholarly journals Exponential Stability for a Class of Uncertain Linear Systems with a Single Time-Delay (or Multiple Time-Delays)

2021 ◽  
Vol 09 (03) ◽  
pp. 413-426
Author(s):  
Weiqiu Pan ◽  
Tianzeng Li
Keyword(s):  
Time Delay ◽  
Exponential Stability ◽  
Linear Systems ◽  
Time Delays ◽  
Multiple Time ◽  
Single Time ◽  
Multiple Time Delays ◽  
Uncertain Linear Systems

Robust stability of uncertain linear systems with multiple time delays

1997 ◽  
Vol 211 (3) ◽  
pp. 195-202
Author(s):  
Y Fang
Keyword(s):  
Linear Systems ◽  
Robust Stability ◽  
Time Delays ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Multiple Time ◽  
Time Delay Systems ◽  
Multiple Time Delays ◽  
Uncertain Linear Systems

In this paper, the robust stability of uncertain linear systems with multiple time delays is studied. Sufficient conditions for robust stability of linear time delay systems with convex perturbations are obtained. From these sufficient conditions, a few results on robust stability of systems with other perturbations are derived. Some previously known sufficient conditions are generalized.

scholarly journals Exponential Stability of Linear Systems with Multiple Time Delays

2016 ◽  
Vol 2 (1) ◽  
pp. 69-78
Author(s):  
Y Ordokhani ◽  
E Taghizadeh ◽  
D Behmardi ◽  
M Matin Far ◽  
◽  
...  
Keyword(s):  
Exponential Stability ◽  
Linear Systems ◽  
Time Delays ◽  
Multiple Time ◽  
Multiple Time Delays

Conversion of SISO processes with multiple time-delays to single time-delay processes

2018 ◽  
Vol 65 ◽  
pp. 84-90 ◽  
Author(s):  
Xiaoli Luan ◽  
Qiang Chen ◽  
Pedro Albertos ◽  
Fei Liu
Keyword(s):  
Time Delay ◽  
Time Delays ◽  
Multiple Time ◽  
Single Time ◽  
Multiple Time Delays

Robust Time-Delay Control

1993 ◽  
Vol 115 (2A) ◽  
pp. 303-306 ◽  
Author(s):  
T. Singh ◽  
S. R. Vadali
Keyword(s):  
Time Delay ◽  
Time Delays ◽  
Control Unit ◽  
Multiple Time ◽  
Residual Vibration ◽  
Single Time ◽  
Time Delay Control ◽  
Additional Requirement ◽  
Multiple Time Delays ◽  
Delay Control

A method is presented to minimize residual vibration of structures or lightly damped servomechanisms. The method, referred to as the proportional plus multiple delay (PPMD) control, involves the use of multiple time delays in conjunction with a proportional part to cancel the dynamics of the system in a robust fashion. An interesting characteristic of the controller involves addition of a basic single time-delay control unit in cascade to the existing controller, for every additional requirement of robustness. It is shown that the proposed time-delay controller produces results that are exactly the same as those obtained by the shaped input technique. In addition, it is simpler to arrive at the relative amplitudes of the time-delayed signals for any number of delays even in a multi-input setting.

PD-Type ILC Algorithm Research with Forgetting Factor for a Class of Linear Systems with Multiple Time Delays

2012 ◽  
Vol 220-223 ◽  
pp. 1125-1130 ◽  
Author(s):  
Hong Yang ◽  
Sheng Ming Li
Keyword(s):  
Linear Systems ◽  
Iterative Learning Control ◽  
Time Delays ◽  
Learning Control ◽  
Iterative Learning ◽  
Multiple Time ◽  
Forgetting Factor ◽  
Convergence Conditions ◽  
Multiple Time Delays ◽  
Study Results

Based on iterative learning control (ILC) algorithm with forgetting factor, the thought that the forgetting factor is a function of iteration numbers is proposed in this paper, which has simplified the convergence conditions. And the convergence analysis is given. Then, the study results of this paper are applied to a class of linear systems with multiple time delays and simulation results show that, under the improvements of the convergence conditions and the reasonable choice of forgetting factor function, the PD-type iterative learning control algorithm with forgetting factor applied to the linear systems with multiple time delays in this paper has effectiveness and superiority.

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