# A Multi-Objective Modified PSO for Inverse Kinematics of a 5-DOF Robotic Arm
## 3 Multi-Objective Inverse Kinematics Problem Statement
### Inverse Kinematics as a Multi-Objective Problem
(2022) [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON] A beta salp swarm algorithm meta-heuristic for inverse kinematics and optimization. _Appl. Intell._**2022**, _52_, 10493-10518. [CrossRef]
* [PERSON] et al. (2016) [PERSON]; [PERSON]; [PERSON] Inverse kinematics of a 6 dof industrial robot manipulator based on bio-inspired multi-objective optimization techniques. In Proceedings of the 2016 IEEE Colombian Conference on Robotics and Automation (CCRA), Bogota, Colombia, 29-30 September 2016; pp. 1-6. * [PERSON] and [PERSON] (2016) [PERSON] [PERSON]; [PERSON] Inverse kinematics using single-and multi-objective particle swarm optimization. In Proceedings of the 2016 28 th International Conference on Microelectronics (ICM), Giza, Egypt, 17-20 December 2016; pp. 269-272. * [PERSON] et al. (2017) [PERSON]; [PERSON]; [PERSON]; [PERSON] Evolutionary multi-objective inverse kinematics on highly articulated and humanoid robots. In Proceedings of the 2017 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Vancouver, BC, Canada, 24-28 September 2017; pp. 6959-6966. * [PERSON] and [PERSON] (1999) [PERSON]; [PERSON] Empirical study of particle swarm optimization. In Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99 TH8406), Washington, DC, USA, 6-9 July 1999; Volume 3, pp. 1945-1950. * [PERSON] et al. (2008) [PERSON]; [PERSON]; [PERSON] Adaptive particle swarm optimization algorithm with dynamically changing inertia weight. _Control. Decis._**2008**, _11_, 1253-1257. * [PERSON] et al. (2006) [PERSON]; [PERSON]; [PERSON] Adaptive particle swarm optimization algorithm and simulation. _J. Syst. Simul._**2006**, _18_, 2969-2971. * [PERSON] et al. (2018) [PERSON]; [PERSON]; [PERSON] Self-adaptive particle swarm optimization: A review and analysis of convergence. _Swarm Intell._**2018**, _12_, 187-226. [CrossRef]
* [PERSON] et al. (2005) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Improved particle swarm optimization combined with chaos. _Solitons Fractals_**2005**, _25_, 1261-1271. [CrossRef]
* [PERSON] et al. (2011) [PERSON]; [PERSON]; [PERSON] A novel particle swarm optimization algorithm with adaptive inertia weight. _Appl. Soft Comput._**2011**, _11_, 3658-3670. [CrossRef]
* [PERSON] et al. (2008) [PERSON]; [PERSON]; [PERSON] The inertia weight self-adapting in PSO. In Proceedings of the 2008 IEEE 7 th World Congress on Intelligent Control and Automation, Chongqing, China, 25-27 June 2008; pp. 5313-5316. * [PERSON] et al. (2007) [PERSON]; [PERSON]; [PERSON]; [PERSON] A modified particle swarm optimizer with dynamic adaptation. _Appl. Math. Comput._**2007**, _189_, 1205-1213. [CrossRef]
* [PERSON] and [PERSON] (2010) [PERSON]; [PERSON] Simplifying particle swarm optimization. _Appl. Soft Comput._**2010**, _10_, 618-628. [CrossRef]
* [PERSON] et al. (2013) [PERSON]; [PERSON]; [PERSON]; [PERSON] Identification of Denavit-Hartenberg parameters of an industrial robot. In Proceedings of the Conference on Advances in Robotics, Pune, India, 4-6 July 2013; pp. 1-6. * [PERSON] and [PERSON] (2011) [PERSON]; [PERSON]; [PERSON] A comparison between the Denavit-Hartenberg and the screw-based methods used in kinematic modeling of robot manipulators. _Robot. Comput. Integr. Manuf._**2011**, _27_, 723-728. [CrossRef]
* [PERSON] (1996) [PERSON] A robotics toolbox for MATLAB. _IEEE Robot. Autom. Mag._**1996**, \(3\), 24-32. [CrossRef]
* [PERSON] and [PERSON] (2013) [PERSON]; [PERSON] Inverse kinematics using particle swarm optimization, a statistical analysis. _Procedia Eng._**2013**, _64_, 1602-1611. [CrossRef]
* [PERSON] (2020) [PERSON]; [PERSON] A meta-heuristic proposal for inverse kinematics solution of 7-DOF serial robotic manipulator: Quantum behaved particle swarm algorithm. _Artif. Intell. Rev._**2020**, _53_, 949-964. [CrossRef]
* [PERSON] et al. (2017) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] [PERSON] Salp Swarm Algorithm: A bio-inspired optimizer for engineering design problems. _Adv. Eng. Softw._**2017**, _114_, 163-191.