EA-Based Design of a Nonlinear PID Controller Using an Error Scaling Technique

Abstract

In controller design, linear PID controllers have something of a dilemma relationship: a fast response requires large gains, which in turn, give rise to a large overshoot. For this reason, a variety of feedback control forms and related tuning methods have been implemented to guarantee satisfactory performance. Recently, multiple studies which introduce nonlinearities into the structure of the standard PID controller have been performed to solve this conflicting relationship. This study proposes an EA-based nonlinear PID controller with a first-order filter added to the derivative action to achieve the desirable quick response with low overshoot. This is realized by introducing a new type of nonlinearities in the controller gains that are time-varying functions in terms of the error and/or error rate. In addition, the nonlinear controller is designed by considering a saturation element. Then, the parameters of the nonlinear PID controller are optimally tuned by an evolutionary algorithm. In tuning the nonlinear PID controller gains, the integral of time-weighted absolute error is used as the performance evaluation of the overall control system. A set of simulation works performed on two processes with actuator saturation shows the feasibility of the proposed method.

Model-Free Control of Finger Dynamics in Prosthetic Hand Myoelectric-based Control Systems

“…One solution is to deal with two-degree-of-freedom (2-DOF) fuzzy controllers; the concept of 2-DOF fuzzy control was coined by Precup & Preitl (1999) and Precup & Preitl (2003) as fuzzy control with non-homogenous dynamics with respect to the input channels, and further developed in their later works applied to servo systems and electrical drives (Precup et al, 2009;Preitl et al, 2012). Another solution is to change the optimization problems and algorithms, with useful examples that deal with path planning (Purcaru et al, 2013), fuzzy classification systems (Johanyák, 2017), asymmetric traveling salesman problem (Osaba et al, 2018), benchmark functions (Abed-alguni, 2019), controller tuning (So, 2019), and the application of type-2 fuzzy control (Li et al, 2018;Moreno et al, 2020).…”

A Systematic Review of Emergency Braking Assistant System to Avoid Accidents Using Pulse Width Modulation and Fuzzy Logic Control Integrated with Antilock Braking

“…The ABS's functionality has been improved by using the well-known PID-based mechanism. The dynamic response of an automobile may be analyzed and improved using a mathematical model developed by [38]. Equilibrium, steering and driving abilities may be improved with a PID controller installed on the vehicle's back wheels.…”

“…Gun-Baek [38] used a novel non-linear PID (NPID) controlling technique for a group of vehicle ABS issues to solve this issue. The PID algorithms offer the benefits of reliable control with the simplicity of fine-tuning.…”

Design of an Intelligent NPID Controller Based on Genetic Algorithm for Disturbance Rejection in Single Integrating Process with Time Delay

“…Most industrial processes are stable, overdamped systems with time delay. Therefore, many first-order processes with time delay (FOPTD) with one real pole in the transfer function have been used to design controllers for them [1][2][3][4][5][6][7].…”

“…In a PIPTD model, a first-order filter is in series with a parallel PID controller, and the results are as follows in Equation (7).…”