PMID- 35684643 OWN - NLM STAT- MEDLINE DCOM- 20220613 LR - 20220716 IS - 1424-8220 (Electronic) IS - 1424-8220 (Linking) VI - 22 IP - 11 DP - 2022 May 26 TI - A Novel Collision-Free Homotopy Path Planning for Planar Robotic Arms. LID - 10.3390/s22114022 [doi] LID - 4022 AB - Achieving the smart motion of any autonomous or semi-autonomous robot requires an efficient algorithm to determine a feasible collision-free path. In this paper, a novel collision-free path homotopy-based path-planning algorithm applied to planar robotic arms is presented. The algorithm utilizes homotopy continuation methods (HCMs) to solve the non-linear algebraic equations system (NAES) that models the robot's workspace. The method was validated with three case studies with robotic arms in different configurations. For the first case, a robot arm with three links must enter a narrow corridor with two obstacles. For the second case, a six-link robot arm with a gripper is required to take an object inside a narrow corridor with two obstacles. For the third case, a twenty-link arm must take an object inside a maze-like environment. These case studies validated, by simulation, the versatility and capacity of the proposed path-planning algorithm. The results show that the CPU time is dozens of milliseconds with a memory consumption less than 4.5 kB for the first two cases. For the third case, the CPU time is around 2.7 s and the memory consumption around 18 kB. Finally, the method's performance was further validated using the industrial robot arm CRS CataLyst-5 by Thermo Electron. FAU - Velez-Lopez, Gerardo C AU - Velez-Lopez GC AD - Electronics Department, National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro 1, Santa Maria Tonantzintla, Cholula 72840, Puebla, Mexico. FAU - Vazquez-Leal, Hector AU - Vazquez-Leal H AUID- ORCID: 0000-0002-7785-5272 AD - Facultad de Instrumentacion Electronica, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltran S/N, Xalapa 91000, Veracruz, Mexico. AD - Consejo Veracruzano de Investigacion Cientifica y Desarrollo Tecnologico (COVEICYDET), Av. Rafael Murillo Vidal No. 1735, Xalapa 91069, Veracruz, Mexico. FAU - Hernandez-Martinez, Luis AU - Hernandez-Martinez L AD - Electronics Department, National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro 1, Santa Maria Tonantzintla, Cholula 72840, Puebla, Mexico. FAU - Sarmiento-Reyes, Arturo AU - Sarmiento-Reyes A AD - Electronics Department, National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro 1, Santa Maria Tonantzintla, Cholula 72840, Puebla, Mexico. FAU - Diaz-Arango, Gerardo AU - Diaz-Arango G AUID- ORCID: 0000-0002-8144-6615 AD - Instituto Tecnologico Superior de Poza Rica, Tecnologico Nacional de Mexico, Luis Donaldo Colosio Murrieta S/N, Poza Rica 93230, Veracruz, Mexico. FAU - Huerta-Chua, Jesus AU - Huerta-Chua J AD - Instituto Tecnologico Superior de Poza Rica, Tecnologico Nacional de Mexico, Luis Donaldo Colosio Murrieta S/N, Poza Rica 93230, Veracruz, Mexico. FAU - Rico-Aniles, Hector D AU - Rico-Aniles HD AD - Electrical Engineering Department, North Central College, 30 N. Brainard St., Naperville, IL 60540, USA. FAU - Jimenez-Fernandez, Victor M AU - Jimenez-Fernandez VM AD - Facultad de Instrumentacion Electronica, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltran S/N, Xalapa 91000, Veracruz, Mexico. LA - eng PT - Journal Article DEP - 20220526 PL - Switzerland TA - Sensors (Basel) JT - Sensors (Basel, Switzerland) JID - 101204366 SB - IM MH - Algorithms MH - Computer Simulation MH - Motion MH - *Robotic Surgical Procedures PMC - PMC9183049 OTO - NOTNLM OT - autonomous robot OT - collision-free path planning OT - homotopy continuation methods OT - robot arm COIS- The authors declare no conflict of interest. EDAT- 2022/06/11 06:00 MHDA- 2022/06/14 06:00 PMCR- 2022/05/26 CRDT- 2022/06/10 01:25 PHST- 2022/04/06 00:00 [received] PHST- 2022/05/16 00:00 [revised] PHST- 2022/05/18 00:00 [accepted] PHST- 2022/06/10 01:25 [entrez] PHST- 2022/06/11 06:00 [pubmed] PHST- 2022/06/14 06:00 [medline] PHST- 2022/05/26 00:00 [pmc-release] AID - s22114022 [pii] AID - sensors-22-04022 [pii] AID - 10.3390/s22114022 [doi] PST - epublish SO - Sensors (Basel). 2022 May 26;22(11):4022. doi: 10.3390/s22114022.