Evolutionary Tuning of Optimal PID Controllers for Second Order Systems Plus Time Delay

2015 ◽  
pp. 3-20 ◽  
Author(s):  
Jesús-Antonio Hernández-Riveros ◽  
Jorge-Humberto Urrea-Quintero ◽  
Cindy-Vanessa Carmona-Cadavid
Keyword(s):  
Time Delay ◽  
Second Order ◽  
Pid Controllers ◽  
Second Order Systems ◽  
Evolutionary Tuning

A predictive time-optimal controller for second-order systems with time delay

SIMULATION ◽  
1970 ◽  
Vol 14 (1) ◽  
pp. 27-35 ◽  
Author(s):  
D.A. Mellichamp
Keyword(s):  
Time Delay ◽  
High Speed ◽  
Second Order ◽  
Optimal Controller ◽  
Petroleum Processing ◽  
Switching Sequence ◽  
Delay Term ◽  
Time Optimal ◽  
Hybrid Computer ◽  
Second Order Systems

This paper presents a method of interactive or real-time predictive control which can be implemented without a stored program computer. By restricting the process dy namic model to a second-order-plus-dead-time format, a configuration which is satisfactory for many chemical or petroleum processing systems, a time-optimal controller can be built entirely on a small analog/hybrid computer. For set-point changes, the controller utilizes an analog model of the process to search out the predicted optimum input switching sequence and continuously maintains the process on the time-optimal trajectory. Because of the predictive nature of the method there is no necessity to include the time-delay term in the high-speed model; the predicted switches in the process input are simply ad vanced in time by the amount of the time-delay.

scholarly journals Partial Eigenvalue Assignment for Gyroscopic Second-Order Systems with Time Delay

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1235
Author(s):  
Hao Liu ◽  
Ranran Li ◽  
Yingying Ding
Keyword(s):  
Time Delay ◽  
Lower Order ◽  
Assignment Problem ◽  
Hadamard Product ◽  
Second Order ◽  
Step Method ◽  
Computational Costs ◽  
The Matrix ◽  
Second Order Systems ◽  
Eigenvalue Assignment

In this paper, the partial eigenvalue assignment problem of gyroscopic second-order systems with time delay is considered. We propose a multi-step method for solving this problem in which the undesired eigenvalues are moved to desired values and the remaining eigenvalues are required to remain unchanged. Using the matrix vectorization and Hadamard product, we transform this problem into a linear systems of lower order, and analysis the computational costs of our method. Numerical results exhibit the efficiency of our method.

Novel control strategy for non-minimum-phase unstable second order systems: generalised predictor based approach

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Anil Bhaskaran ◽  
Chandramohan Goud Ediga ◽  
Seshagiri Rao Ambati
Keyword(s):  
Time Delay ◽  
Direct Synthesis ◽  
Synthesis Method ◽  
Absolute Error ◽  
Second Order ◽  
Delay Systems ◽  
Minimum Phase ◽  
Current Output ◽  
Servo Tracking ◽  
Second Order Systems

Abstract A control structure based on generalized predictor is proposed to control non-minimum phase unstable second order processes with time delay. The scheme contains a predictor structure and a direct synthesis method based primary controller for servo tracking. The predictor structure consists of two filters acting on input and current output which are designed to provide noise attenuation and disturbance rejection. A set-point filter minimises the overshoot caused by the introduction of additional zeros of the controller in the overall closed loop transfer function so as to smooth the tracking performance. Different second order unstable time delay systems are considered and Integral Absolute Error (IAE) and Total Variation (TV) measures are used for comparing the performances quantitatively. The method is implemented experimentally on an inverted pendulum. The proposed predictive strategy is found to provide enhanced control performances in comparison to the existing literature methods.

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