Design of an Implicit Self-tuning PID Controller Based on the Generalized Output

Adaptive Control & Signal

2022

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The database-driven PID (DD-PID) controller is an effective nonlinear PID controller design method; however, some electrical control units in industrial systems cannot implement its algorithm because the DD-PID control scheme requires a large memory capacity and a high-performance processor. In this article, to solve this problem, a group method of data handling PID (GMDH-PID) controller is proposed that approximately expresses the behavior of the DD-PID controller by combinations of simple nonlinear functions. Although this method can reduce the amount of memory capacity and computing power required, the coefficients in each nonlinear function calculated by the least squares method (LSM) may not be stable because of the multicollinearity of the input signals. In this study, instead of LSM, the least absolute shrinkage and selection operator, which is a sparse modeling method, was employed as a coefficient calculation method of the GMDH, in which some coefficients can be calculated as zero in order to avoid the influence of multicollinearity. The effectiveness of the proposed method was evaluated by simulation and experimental testing. K E Y W O R D Sdatabase-driven control, group method of data handling (GMDH), just-in-time modeling, least absolute shrinkage and selection operator (LASSO), PID control, sparse modeling 1

Section: Introductionmentioning

confidence: 99%

Design and application of a sparse GMDH‐PID controller

Adaptive Control & Signal

2022

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“…Therefore, it is considered that an interplay of model-based and data-driven approaches are also very important. However, proportional–integral–derivative (PID) controllers have been widely employed in process industries. − The authors have also proposed a data-driven PID control method and a data-driven self-tuning PID control method . Most of them are for single-input/single-output (SISO) systems.…”

Section: Introductionmentioning

confidence: 99%

Design of an Augmented Output-Based Multiloop Self-Tuning PID Control System

Ashida

2019

Ind. Eng. Chem. Res.

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Since the control performance of a proportional−integral−derivative (PID) control systems strongly depends on PID gains, lots of schemes for tuning PID gains have been proposed up to now. Recently, data-driven PID tuning schemes whose PID gains are directly determined from the closed-loop operating data attract attention. Lots of controlled objects are multi-input/multi-output systems, though almost data-driven PID tuning schemes target singleinput/single-output systems. In this paper, a new design method of a multiloop self-tuning PID controller is proposed. The proposed scheme first employs a postdecoupler to remove the influence of mutual interference. The multiloop self-tuning PID controller is designed for the approximately decoupled system. The effectiveness of the control scheme is evaluated by numerical and experimental examples.

“…However, the controllers cannot obtain good control performances against time-variant systems. To tackle this problem, self-tuning controllers [1,2] have been proposed. In these controllers, control parameters are tuned adaptively and can maintain a good control performance to time-variant systems.…”

Section: Introductionmentioning

confidence: 99%

“…The reasons why PID controllers have been widely applied include that: (1) PID controllers have simple structure, and (2) physical meanings of the control actions are clear. Therefore, some self-tuning PID control schemes [2] have been proposed.…”

Section: Introductionmentioning

confidence: 99%

Design of a Performance-Adaptive 1-Parameter Tuning PID Controller

Ashida

2019

JRNAL

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A B S T R A C TMany self-tuning Proportional-Integral-Derivative (PID) controllers have been proposed. However, these methods are rarely employed to actual systems because of low reliability of an on-line PID parameter estimator. In this work, a performance adaptive controller that has two stages of PID parameters tuning mechanisms is proposed. One of the tuners is a 1-parameter tuner using the recursive least squares. The other tunes PID parameters using ordinary least squares. The effectiveness of the proposed method is evaluated by an experimental example.