PID Control

The Proportional-Integral-Derivative (PID) controller structure is very widely used in industrial applications. Its structural simplicity and ability to solve many practical control problems have contributed to this wide acceptance. Recently, the parameterization of all stabilizing PID controllers has been considered. This method obtains admissible sets of PID parameters to guarantee the stability of a closed-loop system. However, several difficulties remain with this method. One is that admissible sets of P-parameters, I-parameters and D-parameters are related to each other. Another is that there are plants that cannot be stabilized by a PID controller. To overcome these problems, Yamada and Hagiwara proposed a design method for modified PID controllers that stabilize the closed-loop system for unstable plants, while allowing admissible sets of P-parameters, I-parameters and D-parameters to be independent of each other. However, no method has been published that can guarantee the stability of PID control systems for multiple-input/multiple-output plants, or find admissible sets of P-parameters, I-parameters and D-parameters that both are independent of each other and guarantee the stability of a PID control system. We propose a design method for modified PID controllers that achieves these goals.

show abstract

“…then it is called a PID controller (1) - (3), (15), (16) , where A P ∈ R p×m is the P-parameter satisfying:…”

Section: Problem Formulationmentioning

confidence: 99%

“…The Proportional-Integral-Derivative (PID) controller is the most widely used controller structure in industrial applications (1) - (3) . Its structural simplicity and ability to solve many practical control problems have contributed to this wide acceptance.…”

Section: Introductionmentioning

confidence: 99%

A Design Method for Modified PID Controllers for Multiple-Input/Multiple-Output Plants

Hagiwara

Yamada

Matsuura

et al. 2012

JSDD

View full text Add to dashboard Cite

show abstract

“…Since the modern controls are hard to be applied on USM, PID controller has been widely used in USM applications (4)(5)(6)(7) . However, there are limitations of the control performance using the conventional fixed-gain type PID controller because USM causes serious characteristic changes during operation and contains non-linearity.…”

Section: Introductionmentioning

confidence: 99%

Application of a Modified PSO Algorithm to Self-Tuning PID Controller for Ultrasonic Motor

Alrijadjis

Tanaka²,

Nakashima³

et al. 2013

The Proceedings of the 1st International Conference on Industrial Application Engineering 2013

View full text Add to dashboard Cite

The ultrasonic motor (USM) has a heavy nonlinearity and time-varying characteristics which vary with driving conditions.Because of no-exact mathematical model of USM, it is difficult to control USM. PID controller can be designed without using the expression model of plant, but it is hard to compensate the nonlinearity and characteristic changes of USM. This paper presents a self-tuning scheme using a modified particle swarm optimization (MPSO) for PID controller to overcome the dynamic characteristics of USM. A modified PSO employs the strategy that nonlinearity decreases the value of inertia weight from a large value to a small value. This strategy is to improve the performance of the standard PSO in global search and fine-tuning of the solution. The effectiveness of the proposed method is verified by numerical simulation and experimental investigation.The results demonstrate that the proposed method can improve the accuracy of USM.

show abstract

“…On the other hand, PID control algorithms [13] still continue to be widely used for most industrial control systems, particularly in the chemical process industry [4,5]. The reason seems to be that the PID controller is a ready-made simple controller that requires only tuning of its three parameters, namely, proportional, integral, and differential gain, and is familiar to most control engineers and operators.…”

Section: Introductionmentioning

confidence: 99%