Design and experimental evaluation of a multivariable self-tuning PID controller

A unified approach of control performance evaluation and PID controller design in industrial process systems

“…where σ is the user-specified parameter corresponding to the rise-time and can be set to between 1/2 and 2/3 of [9]. λ denotes the control weighting factor determined in consideration of the control performance which is discussed later.…”

“…The system identification method is newly proposed, and the PID parameter tuning scheme is discussed which is derived by the GMV-PID control scheme [9]. Then, the performanceassignment tuning scheme of the control weighting factor is also discussed, and the proposed control algorithm is summarized therein.…”

“…Moreover, PID parameters are adjusted based on the new estimates so that the control performance satisfies the desired performance objectives. Specifically, the generalized minimum variance self-tuning PID control(GMV-PID) scheme [9] is adopted in order to tune PID parameters. The control weighting or penalty factor is chosen by examining the LGQ trade-off curve to achieve the satisfactory output variability with affordable increase in the incremental control effort [10].…”

Sensorless control of a brushless DC motor using a Self-Tuning PID

“…The model which is reduced to without death time; (8) In this study, the least squares estimation method is used to define the model of the system. [7].…”

Design of discrete time adaptive PID control systems with parallel feedforward compensator

“…As a result a great deal of attention has been focused on automatic or self-tuning of PID controllers (Astrom & Hagglund, 1995). Furthermore, from the fact that the control plays a very important role in the improvement of production quality, accuracy and in reducing production costs, in recent decades several kinds of auto-tuning PIDs including self-tuning schemes and adaptive control strategies have been proposed (Chang, Hwang, & Hsieh, 2003;Iwai, Mizumoto, Liu, Shah, & Jiang, 2006;Kono, Yamamoto, Hinamoto, & Shah, 2007;Ren, Chen, & Chen, 2008;Tamura & Ohmori, 2007;Yamamoto & Shah, 2004;Yu, Chang, & Yu, 2007). Unfortunately, most PID auto-tuning methods did not pay sufficient attention to the stability of the resulting PID control system and the tuned PID parameters did not guarantee the stability of the control system after any change of the systems.…”