Page 166 - IJOCTA-15-4
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Oleiwi et al. / IJOCTA, Vol.15, No.4, pp.706-727 (2025)
                In their study, Cheyun et al. 26  proposed a  proposed two improved PID controller structures
            robust adaptive controller that integrates SMC    designed to enhance the con-PID’s performance
            with an RBF NN. In this approach, the unknown     in guiding a human leg robot along a predefined
            dynamics are approximated using the RBF net-      path. The grasshopper optimization algorithm
            work, while the adaptive update law for the net-  was utilized to optimize the improved PID pa-
            work’s parameters is derived based on Lyapunov    rameters. In the study by Yadav et al., 35  var-
            stability theory.  Mohamed et al. 27  introduced  ious soft computing techniques were applied to
            six control structures utilizing FOPID and con-   fine-tune and implement a hybrid controller for
            ventional PID (con-PID) controllers, all of which  robotic manipulator motion control.  This hy-
            were enhanced through NN integration. These       brid controller combined traditional PID control
            structures included recurrent NN-like FOPID, re-  with an “overwhelming” controller, and the PID
            current NN-like PID, set point-weighted PID, set  parameters were optimized using methods such
            point-weighted FOPID, hybrid NN–FOPID, and        as Ziegler–Nichols tuning, PSO, ant colony opti-
            NN–PID controllers. The zebra optimization al-    mization, and genetic algorithms.
            gorithm was employed to fine-tune the param-
                                                                  Over recent decades, numerous control strate-
            eters of these controllers with the aim of min-
                                                              gies have been explored in the literature, includ-
            imizing the integral time square error (ITSE).
            Similarly, Chotikunnan and Chotikunnan   28  pre-  ing classical, adaptive, and SMC theories. How-
                                                              ever, these approaches often face limitations in
            sented a dual-design PID controller, which uti-
                                                              adaptability, as they typically account for only
            lized two PID controllers—one operating in real-
                                                              a narrow range of disturbances. Moreover, due
            time and the other with a one-time-step delay.
                                                              to the inherent mechanical complexity of robotic
            The performance of this dual design was eval-     systems, they exhibit highly nonlinear dynamics,
            uated against a con-PID controller, using the     making the modeling and control processes partic-
            Chien–Hrones–Reswick tuning method to achieve     ularly challenging. This has motivated the devel-
            minimal overshoot.    Mary et al. 29  proposed a
                                                              opment of more resilient and effective controllers
            fuzzy-like PD controller combined with SMC.
                                                              capable of handling such complexities.
            This controller was developed based on fuzzy
            rules, membership functions, and the nominal          The primary objective of this work is to de-
            model of the robotic manipulator.                 sign hybrid controllers that integrate NNs with
                                                              PID operations to leverage the advantages of
                Coutinho and Hess-Coelho   30  proposed two
                                                              both techniques in control system design. The
            hybrid control techniques: one combining pure
                                                              proposed controllers require parameter tuning to
            computed torque control with a modified SMC,
                                                              achieve specific performance objectives. To ac-
            and the other integrating pure PD control with    complish this, the African vultures optimization
            SMC. In the study by Yahya and Abbas,  31  an en-
                                                              algorithm (AVOA) is employed to identify the op-
            hanced version of the parallel Harris hawks opti-
                                                              timal set of parameters for the hybrid controllers.
            mization algorithm was introduced along with in-
                                                              This study focuses on designing a controller for
            tegral SMC to identify optimal controller param-
                                                              a 3-LRRM to enable precise position control by
            eters. The proposed method was compared with      tracking a desired trajectory, while also demon-
            other algorithms, including the standard Harris
            hawks optimization, demonstrating improved per-   strating robustness against external disturbances
            formance.   Meanwhile, C¸etinkaya et al. 32  con-  and uncertainties within the system model. The
                                                              main contributions of this work are as follows:
            ducted positioning analysis using NNs for robot
            manipulator systems in the textile industry and      (i) This work designs two hybrid control struc-
            refined the most accurate NN model for high-            tures that combine NNs with PID opera-
            precision positioning tasks. In the study by Saeed      tions. The first structure, STNN–PID, is
            Al-Khayyt, 33  a self-tuning NN–PID (STNN–PID)          a self-tuning PID controller based on NNs.
            controller was developed, combining the adaptive        The second structure, NN–PID, is a newly
            learning capabilities of NNs with a con-PID con-        proposed hybrid controller that incorpo-
            troller. The NN output, derived from the system’s       rates PID operations as activation func-
            control error, dynamically adjusts the propor-          tions within the NN architecture.
            tional, integral, and derivative gains in real time.  (ii) A new technique is proposed to eliminate
            To enhance dynamic performance—particularly             controllers that exhibit complex control ac-
            to minimize overshoot and achieve accurate tra-         tions with excessive chattering, which are
            jectory tracking with minimal steady-state er-          impractical for real-world implementation.
            ror—the con-PID controller was replaced with            This technique is applied and shown to be
            this STNN–PID controller. Adnan and Karam    34         highly effective.
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