scholarly journals Stabilizing Parametric Region of Multiloop PID Controllers for Multivariable Systems Based on Equivalent Transfer Function

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Xiaoli Luan ◽  
Qiang Chen ◽  
Pedro Albertos ◽  
Fei Liu
Keyword(s):  
Transfer Function ◽  
Design Procedure ◽  
Pid Controllers ◽  
Multivariable Systems ◽  
Parameterization Method ◽  
Model Based ◽  
Complete Set ◽  
Practical Model ◽  
Parametric Region

The aim of this paper is to determine the stabilizing PID parametric region for multivariable systems. Firstly, a general equivalent transfer function parameterization method is proposed to construct the multiloop equivalent process for multivariable systems. Then, based on the equivalent single loops, a model-based method is presented to derive the stabilizing PID parametric region by using the generalized Hermite-Biehler theorem. By sweeping over the entire ranges of feasible proportional gains and determining the stabilizing regions in the space of integral and derivative gains, the complete set of stabilizing PID controllers can be determined. The robustness of the design procedure against the approximation in getting the SISO plants is analyzed. Finally, simulation of a practical model is carried out to illustrate the effectiveness of the proposed technique.

Simple Tuning of Discrete PI and PID Controllers

1976 ◽  
Vol 9 (6) ◽  
pp. 227-234 ◽  
Author(s):  
P. D. Roberts
Keyword(s):  
Time Delay ◽  
Transfer Function ◽  
Time Constant ◽  
Performance Index ◽  
Closed Loop ◽  
Simple Procedure ◽  
Pid Controllers ◽  
Eighth Order ◽  
Satisfactory Performance ◽  
Complete Set

The paper investigates the effectiveness of a simple procedure for tuning discrete PI and PID controllers applied to processes subject to set point changes and load disturbances. Previous work is extended to obtain closed-loop stability properties and a complete set of graphical tuning relationships to minimise the ITAE performance index when the process under control can be represented adequately by a single time constant and time delay. In addition, the simple tuning procedure is shown to exhibit satisfactory performance when applied to the control of a process represented by an eighth order transfer function.

scholarly journals Algorithms for U-Model-Based Dynamic Inversion (UM-Dynamic Inversion) for Continuous Time Control Systems

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-14 ◽  
Author(s):  
Ruobing Li ◽  
Quanmin Zhu ◽  
Janice Kiely ◽  
Weicun Zhang
Keyword(s):  
Control System ◽  
System Design ◽  
Continuous Time ◽  
Design Procedure ◽  
Control System Design ◽  
Dynamic Inversion ◽  
Wind Energy Conversion ◽  
Model Based ◽  
Time Control ◽  
Energy Conversion System

To setup a universal proper user toolbox from previous individual research publications, this study generalises the algorithms for the U-model dynamic inversion based on the realisation of U-model from polynomial and state-space described continuous-time (CT) systems and presents the corresponding U-control system design in a systematic procedure. Then, it selects four CT dynamic plants plus a wind energy conversion system for simulation case studies in Matlab/Simulink to test/demonstrate the proposed U-model-based design procedure and dynamic inversion algorithms. This work can be treated as a U-control system design user manual in some sense.

Sign in / Sign up

Export Citation Format

Share Document