scholarly journals Characterizing PID Controllers for Linear Time-Delay Systems: A Parameter-Space Approach

2020 ◽  
pp. 1-1
Author(s):  
Xu-Guang Li ◽  
Silviu-Iulian Niculescu ◽  
Jun-Xiu Chen ◽  
Tianyou Chai
Keyword(s):  
Time Delay ◽  
Parameter Space ◽  
Linear Time ◽  
Delay Systems ◽  
Pid Controllers ◽  
Time Delay Systems ◽  
Space Approach

Pole Placement for Time-Delay Systems with Low-Order Controllers a Parameter Space Approach

2014 ◽  
Vol 568-570 ◽  
pp. 1100-1103
Author(s):  
De Jin Wang ◽  
Yi Jun Fan ◽  
Wan Qi Shi
Keyword(s):  
Time Delay ◽  
Parameter Space ◽  
Closed Loop ◽  
Damping Ratio ◽  
Pole Placement ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Closed Loop Systems ◽  
Space Approach ◽  
Low Order

This paper discusses the pole placement with low-order controllers, e.g., PID type controllers and phase lead/lag compensators, using parameter space approach. The damping ratio sector region and the relative stability region in s-plane, which form a trapezoid region in the left-half of s-plane, are mapped into the controller parameters space. Thus, the corresponding controller parameters can place all the closed-loop poles in a specified trapezoid region, and guarantee the performances of the closed-loop systems. The advantage of the proposed method is that it is simple and can be applied to time-delay systems. A simulation example is given to illustrate the effectiveness of the design.

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.

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