Tuning of Proportional Integral Derivative Controllers for Critically Damped Second-Order Plus Time Delay Systems

2014 ◽  
Vol 57 (1) ◽  
pp. 32-51 ◽  
Author(s):  
Simi Santosh ◽  
M. Chidambaram
Keyword(s):  
Time Delay ◽  
Second Order ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Proportional Integral Derivative ◽  
Proportional Integral

Robust optimal proportional–integral–derivative controller design for a class of uncertain second-order delay-free and time-delay systems

2021 ◽  
pp. 107754632110055
Author(s):  
Abolfazl Simorgh ◽  
Abolhassan Razminia ◽  
Vladimir I Shiryaev
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Order Approximation ◽  
Second Order ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Proportional Integral Derivative ◽  
Linear Quadratic ◽  
Proportional Integral Derivative Controller ◽  
Proportional Integral

The second-order systems can capture the dynamics of a vast majority of industrial processes. However, the existence of uncertainty in second-order approximation of such processes is inevitable because the approximation may not be accurate or the operating condition changes, resulting in performance degradation or even instability. This article aims at designing a novel robust proportional–integral–derivative controller for the uncertain second-order delay-free and time-delay systems in an optimal manner. The method is simple, effective, and can efficiently improve the performance of the uncertain systems. The approach is based on the linear quadratic theory, in which by adding a new matrix in the quadratic cost function regarding the uncertainties, the stability of the perturbed system is guaranteed and proven for both time-delay and delay-free second-order cases. The comparison with the recent works in the literature supports the effectiveness of the proposed methodology.

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 controller synthesis for second order time delay systems with at least one RHP pole

2018 ◽  
Vol 73 ◽  
pp. 181-188 ◽  
Author(s):  
K. Ghousiya Begum ◽  
A. Seshagiri Rao ◽  
T.K. Radhakrishnan
Keyword(s):  
Time Delay ◽  
Second Order ◽  
Controller Synthesis ◽  
Delay Systems ◽  
Optimal Controller ◽  
Time Delay Systems

An optimal PID controller via LQR for standard second order plus time delay systems

2016 ◽  
Vol 60 ◽  
pp. 244-253 ◽  
Author(s):  
Saurabh Srivastava ◽  
Anuraag Misra ◽  
S.K. Thakur ◽  
V.S. Pandit
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Second Order ◽  
Delay Systems ◽  
Time Delay Systems
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