Multivariable controller design for linear systems having multiple time delays

AIChE Journal ◽  
1979 ◽  
Vol 25 (6) ◽  
pp. 1043-1057 ◽  
Author(s):  
B. A. Ogunnaike ◽  
W. H. Ray
Keyword(s):  
Linear Systems ◽  
Time Delays ◽  
Controller Design ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
Multivariable Controller

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.

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.

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

scholarly journals Pid Controller Design for Multiple Time Delays System

2021 ◽  
Vol 15 ◽  
pp. 121-127
Author(s):  
Asma Karoui ◽  
Rihem Farkh ◽  
Moufida Ksouri
Keyword(s):  
Pid Controller ◽  
Time Delays ◽  
Controller Design ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
Pid Controller Design ◽  
The Stability ◽  
And Control ◽  
Time Invariant

This paper presents an approach of stabilization and control of time invariant linear system of an arbitrary order that include several time delays. In this work, the stability is ensured by PI, PD and PID controller. The method is analytical and needs the knowledge of transfer function parameters of the plant. It permits to find stability region by the determination of p K , i K and d K gains.

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