Abstract:The proportional-integral-derivative (PID) controller is the dominant type of controller used in current industrial practice. The behavior and capabilities of the PID controller are familiar to both the design engineer and the field operator, and it is relatively easy to tune manually by a variety of open-loop methods (Seborg et al., 1989). An important recent improvement in the PID controller tuning method is a self-tuning capability (Astrom and Hligglund, 1,984; Seborg et al., 1989), while the control loop i… Show more
“…Following considerations regarding the optimization of performance of conventional controllers, as given by Lee et al (1990), the proportional gain (k c ) can be set as the result of the maximization problem:…”
The paper presents a relay method for the identification of completely unknown processes for autotune purposes. It is an extension of a previous technique (ATV; Li, W.; et al. Ind. Eng. Chem. Res. 1991, 30, 1530, which assumed the delay of the process to be known. By means of a maximum of three relay tests, with additional delay, models with up to five parameters can be built. The proposed procedure does not present any convergence problem and is equivalent to the original one in terms of relative accuracy and duration of tests. The application of the identification procedure to a much wider set than in the original paper shows that the model obtained from the identification presents good accuracy in the high-frequency region, while some discrepancies of different nature may be present in the low frequency. When a suitable tuning method, which exploits this characteristic, is adopted, reasonably good closed-loop performance can be achieved for proportional-integral control in all cases. The low sensitivity to experimental errors and the simple implementation make the method interesting for application in industrial autotuners.
“…Following considerations regarding the optimization of performance of conventional controllers, as given by Lee et al (1990), the proportional gain (k c ) can be set as the result of the maximization problem:…”
The paper presents a relay method for the identification of completely unknown processes for autotune purposes. It is an extension of a previous technique (ATV; Li, W.; et al. Ind. Eng. Chem. Res. 1991, 30, 1530, which assumed the delay of the process to be known. By means of a maximum of three relay tests, with additional delay, models with up to five parameters can be built. The proposed procedure does not present any convergence problem and is equivalent to the original one in terms of relative accuracy and duration of tests. The application of the identification procedure to a much wider set than in the original paper shows that the model obtained from the identification presents good accuracy in the high-frequency region, while some discrepancies of different nature may be present in the low frequency. When a suitable tuning method, which exploits this characteristic, is adopted, reasonably good closed-loop performance can be achieved for proportional-integral control in all cases. The low sensitivity to experimental errors and the simple implementation make the method interesting for application in industrial autotuners.
“…Bogere and Ozgen (1989) and Lee (1989) modified the Yuwana and Seborg method to identify a second-order plus time delay (SOPTD) without and with a zero respectively. Rangaiah and Krishnaswamy (1996) compared these two methods and recommended the method proposed by Lee et al (1990) since it identifies the system with a zero. Harini and Chidambaram (2005) extended the method to identify an unstable SOPTD model with a zero.…”
A method is proposed to identify the model parameters of a stable, critically damped second-order plus time delay system. The method uses a step response of the closed-loop system using a PID controller. The two dominant poles of the closed-loop model were obtained using the step response. The process gain was calculated using the steady-state deviation values of the output and the input variable of the process. Using the identified dominant poles in the derived closed-loop characteristic equations, the relevant two nonlinear algebraic equations were derived to calculate the process delay and time constant. Three simulation examples were considered to show the effectiveness of the proposed method. The open-loop and as well as the closed-loop responses of the process were compared with those of the identified model and of the controller design based on the models. A significant improvement was obtained in the performance of the critically damped SOPTD model over that of the FOPTD model. The identified model parameters by the present method were compared with those of the relay auto-tuning method. A simulation study on a nonlinear bio reactor is also reported.
“…[6,10,33,34] An orthogonal basis function based model estimation technique has also been reported. [35] Identification from closed loop step response has been another area of extensive research; [36][37][38][39][40][41][42][43] there are some closed loop methods applicable for unstable processes [44][45][46] and for multiple input multiple output models. [47][48][49][50][51] Closed loop identification methods using optimization approaches have also been proposed.…”
An overview of identification of continuous‐time models from step responses using the integral equation approach is presented. Both open loop and closed loop identification as well as identification of multiple‐input‐multiple‐output (MIMO) models are considered. Solutions to practical implementation problems are provided and methods for identification with transient initial conditions using raw data as well as estimation algorithms in the presence of disturbances are outlined. The methodologies are presented in a simplified way using the example of a first order model; however, the algorithms are applicable for models with higher orders. Solution techniques for the estimation equations are also discussed. Identification results under different experimental conditions and data quality are presented to demonstrate the performance of the algorithms. A number of experimental and simulation examples are presented to demonstrate the applicability of the approach.
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