Maximum Exponential Decay Rate for First-Order Time-Delay Systems with PI Controllers

2021 ◽  
pp. 34-42
Author(s):  
Diego Torres-García ◽  
Fernando Méndez-Barrios ◽  
Adrián Ramírez
Keyword(s):  
Time Delay ◽  
Decay Rate ◽  
Exponential Decay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
First Order ◽  
Exponential Decay Rate ◽  
Pi Controllers

Design of P and PI controllers for unstable first-order plus time delay systems

1994 ◽  
Vol 60 (1) ◽  
pp. 137-144 ◽  
Author(s):  
V. VENKATASHANKAR ◽  
M. CHIDAMBARAM
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
First Order ◽  
Pi Controllers

scholarly journals PI Controller Design for Time Delay Systems Using an Extension of the Hermite-Biehler Theorem

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Sami Elmadssia ◽  
Karim Saadaoui ◽  
Mohamed Benrejeb
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Pi Controller ◽  
Second Order ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Proportional Integral ◽  
First Order ◽  
Pi Controllers ◽  
Interval Type

We consider stabilizing first-order systems with time delay. The set of all stabilizing proportional-integral PI controllers are determined using an extension of the Hermite-Biehler theorem. The time delay is approximated by a second-order Padé approximation. For uncertain plants, with interval type uncertainty, robust stabilizing PI controllers are determined.

Optimal tuning of PID controller in time delay system: a review on various optimization techniques

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Thomas George ◽  
V. Ganesan
Keyword(s):  
Time Delay ◽  
Pid Control ◽  
Pid Controller ◽  
Optimization Techniques ◽  
Operating Conditions ◽  
Delay Systems ◽  
Pid Controllers ◽  
Time Delay Systems ◽  
Process Industries ◽  
First Order

AbstractThe processes which contain at least one pole at the origin are known as integrating systems. The process output varies continuously with time at certain speed when they are disturbed from the equilibrium operating point by any environment disturbance/change in input conditions and thus they are considered as non-self-regulating. In most occasions this phenomenon is very disadvantageous and dangerous. Therefore it is always a challenging task to efficient control such kind of processes. Depending upon the number of poles present at the origin and also on the location of other poles in transfer function different types of integrating systems exist. Stable first order plus time delay systems with an integrator (FOPTDI), unstable first order plus time delay systems with an integrator (UFOPTDI), pure integrating plus time delay (PIPTD) systems and double integrating plus time delay (DIPTD) systems are the classifications of integrating systems. By using a well-controlled positioning stage the advances in micro and nano metrology are inevitable in order satisfy the need to maintain the product quality of miniaturized components. As proportional-integral-derivative (PID) controllers are very simple to tune, easy to understand and robust in control they are widely implemented in many of the chemical process industries. In industries this PID control is the most common control algorithm used and also this has been universally accepted in industrial control. In a wide range of operating conditions the popularity of PID controllers can be attributed partly to their robust performance and partly to their functional simplicity which allows engineers to operate them in a simple, straight forward manner. One of the accepted control algorithms by the process industries is the PID control. However, in order to accomplish high precision positioning performance and to build a robust controller tuning of the key parameters in a PID controller is most inevitable. Therefore, for PID controllers many tuning methods are proposed. the main factors that lead to lifetime reduction in gain loss of PID parameters are described in This paper and also the main methods used for gain tuning based on optimization approach analysis is reviewed. The advantages and disadvantages of each one are outlined and some future directions for research are analyzed.

Robust stabilizing first-order controllers for a class of time delay systems

2010 ◽  
Vol 49 (3) ◽  
pp. 277-282 ◽  
Author(s):  
Karim Saadaoui ◽  
Sana Testouri ◽  
Mohamed Benrejeb
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
First Order
Sign in / Sign up

Export Citation Format

Share Document