RETRACTED: Integral-Proportional Derivative tuning for optimal closed loop responses to control integrating processes with inverse response

Abstract

This paper provides optimum analytical tuning rules to determine tuning parameters of Integral-Proportional Derivative (I-PD) controllers for controlling integrating processes with inverse response and time delay. Integral performance criteria, such as ISTE (integral of squared time error), IST2E (integral of squared time2 error) and IST3E (integral of squared time3 error), are used to derive mentioned optimum tuning rules. The effectiveness of the proposed I-PD controller design method are shown by simulation examples. Comparisons with design methods existing in the literature, in terms of set point tracking and disturbance rejection capability, are performed to see the use of the proposed I-PD controller. Some performance measures are also given to evaluate the closed loop performances. It has been observed that the proposed I-PD controller has some important advantages over design methods used for comparison.

Design of I-PD Controller Based Modified Smith Predictor for Processes With Inverse Response and Time Delay Using Equilibrium Optimizer

“…This section presents simulation studies for various examples in the literature, such as inverse response integrating or unstable systems with time delay. The proposed method is compared with the considerable studies in the literature, which Begum et al [8], Kaya [10,14], Divakar and Kumar [17], Ozyetkin et al [11], and Kumar and Manimozhi [9]. Various metrics are used to assess the closed-loop responses: IAE, ISE, TV, settling time (ts), and overshoot percentage (OS %).…”

“…In addition, the pre-filter used is given as FR=(1.984s+1)/ (8.3863s 2 +8.0915s+1). In Kaya's method [14], I-PD controller parameters are determined as kc=1.151, ti=5.156, and td=0.782. In the method of Ozyetkin et al [11], the PID controller parameters obtained according to the weighted geometrical center method are kp=0.9445, ki=0.1429, and kd=1.…”

“…A research based on IMC and PID controller control of second-order time delay and inverse response processes is presented in [13]. Kaya's method gives optimum analytical tuning rules for Integral-Proportional Derivative (I-PD) controllers in integrating processes [14]. A significant feature of Kaya's study that the suggested I-PD controller produces acceptable output responses even when both nominal and perturbed conditions are applied.…”

PID Tuning Method Based on IMC for Inverse-Response Second-Order Plus Dead Time Processes

“…The starting value ofτ c for each simulation was obtained from (25); the minimum assigned value for this parameter matched the limit value to obtain a stable system. The simulations considered unit-step changes in the disturbance variable (disturbance rejection).…”

“…One can find some references, such as Chen and Seborg [19], Shamsuzzoha and Lee [20], and Pai et al [9] that developed tuning equations for disturbance rejection. More recently, several PID tuning or controller design methods for processes whose dynamics include inverse-response, time-delay, and integrating characteristics have been developed [21][22][23][24][25][26]. Other authors gone beyond the PID controller and proposed the use of fractional control for non-minimum phase plus dead time systems [27], and Sliding Mode Controllers applied to high-order long dead-time inverse-response processes [28].…”