Postgraduate Diploma in Trajectory, Cycle and Collision Optimisation
Online 800-hour Postgraduate Diploma in Trajectory, Cycle and Collision Optimisation. 8 modules covering ISO 9283:1998, ISO 10218-1:2025 and MoveIt 2. Assigned tutor and open enrolment.
Take the controls.
Run a real engineering trade-off from this field. Move the sliders, watch the model react in real time and beat the challenge.
What you will be able to do
Analyse the kinematics and dynamics of manipulators.
Generate smooth trajectories with jerk limitation.
Reduce cycle times through sequence optimisation.
Detect collisions with efficient geometric models.
Apply collision-free planners.
Coordinate cells with several robots and shared zones.
Balance cycle time, energy and wear.
Who it's for
- Robotic optimisation engineer seeking to specialise in Trajectory, Cycle and Collision Optimisation.
- Process simulation engineer seeking to specialise in Trajectory, Cycle and Collision Optimisation.
- Industrial robot programmer seeking to specialise in Trajectory, Cycle and Collision Optimisation.
- Motion planning engineer seeking to specialise in Trajectory, Cycle and Collision Optimisation.
- Manufacturing process engineer seeking to specialise in Trajectory, Cycle and Collision Optimisation.
- Robotics software developer seeking to specialise in Trajectory, Cycle and Collision Optimisation.
- Engineering or science graduates seeking to enter the automotive sector.
What you'll work with
- ISO 9283:1998
- ISO 10218-1:2025
- ISO 8373:2021
- ISO 10218-2:2025
- ISO 13849-1:2023
8 modules · 800 h
1.1Forward and inverse kinematics1.2Denavit-Hartenberg parameters of the manipulator1.3Jacobian and singularities1.4Redundancy and null space1.5Newton-Euler and Lagrange dynamics1.6Torque, velocity and acceleration limits1.7Identified dynamic models1.8Joint space versus Cartesian space1.9Configurations and posture changes1.10Workshop: singularity analysis of a 6-axis robot
2.1Linear and circular interpolation2.2Trapezoidal and S-curve profiles2.3Cubic splines and B-splines2.4Jerk limitation2.5Blending and approach zones2.6Optimal time parametrisation2.7Time-optimal trajectories with TOPP-RA2.8Trajectory tracking and error2.9Trajectory quality in processes2.10Practice: S-curve profiles in Python
3.1Cycle analysis and critical path3.2Reduction of unnecessary movements3.3Zone and precision optimisation3.4Parallelisation of tasks and I/O3.5Optimisation of point sequence3.6Travelling salesman problem applied3.7Optimal robot placement in the cell3.8Effect of payload on cycle time3.9Measurement and validation of cycle time3.10Case study: 15 % cycle time reduction
4.1Collision models and simplified geometries4.2Bounding volumes and hierarchies4.3GJK and EPA algorithms4.4FCL and Bullet libraries4.5Minimum distance and margins4.6Robot self-collision4.7Collisions with tooling and parts4.8Real-time detection4.9Occupancy maps and voxels4.10Laboratory: collision checking with MoveIt 2
5.1Sampling-based planners: RRT and PRM5.2RRT* and asymptotic optimality5.3Optimisation-based planning: CHOMP and TrajOpt5.4Smoothing and path shortcutting5.5Orientation constraints5.6Replanning around moving obstacles in the cell5.7Integrating planners into OLP5.8Comparison of planners5.9Limitations in industrial applications5.10Practice: planning with OMPL
6.1Cells with several robots6.2Interference zones and semaphores6.3Interlocks via I/O and via software6.4Temporal coordination of trajectories6.5Coordinated robot motion6.6Collision detection between robots6.7Joint cycle optimisation6.8Deadlock management6.9Simulation of multi-robot cells6.10Laboratory: interlock of two robots in one cell
7.1Energy consumption per trajectory7.2Energy optimisation of motion7.3Gearbox wear and lifecycle7.4Vibration and robot stiffness7.5Robustness to part variations7.6Collision detection via motor current7.7Recovery after a collision7.8Validation on the shop floor7.9Cell performance indicators7.10Case study: balancing cycle time and energy
8.1Initial cell analysis8.2Kinematic and collision model8.3Sequence and placement optimisation8.4Generation of optimised trajectories8.5Collision-free planning8.6Multi-robot coordination and interlocks8.7Validation of cycle time and energy8.8Improvement report8.9Dissertation and presentation8.10Final review with the tutor
How you'll learn
100 % online training on the SEIUM campus, with downloadable material, recorded classes and an assigned technical tutor. No fixed timetables: students progress at their own pace within the intake, which makes it possible to combine study with work.
Each module combines theory, guided reading of the original standard and applied exercises. The working software is MoveIt 2, OMPL, RoboDK, ABB RobotStudio, Siemens Process Simulate, in free, academic or evaluation versions. Tests are studied using real procedures for measuring and comparing cycle times, collision simulation in multi-robot cells, and analysis of the energy consumption of trajectories. Assessment is continuous per module, plus the final integrating project.
Build it end to end
Your final project follows the real engineering workflow, step by step, reviewed by your tutor.
Analyse the kinematics and dynamics of manipulators.
Generate smooth trajectories with jerk limitation.
Reduce cycle times through sequence optimisation.
Detect collisions with efficient geometric models.
Apply collision-free planners.
Where this takes you
Requirements
- Prior technical training or professional experience in the sector. No university degree is required.
- Internet connection and a computer capable of running the programme's software.
- Sufficient Spanish to follow the reading of technical standards.
Ready to start?
Send your application today. Our admissions team replies within 72 hours with your study plan and funding options.
Frequently asked questions
The programme totals 800 hours, spread over 6 to 8 months. That is between 10 and 15 hours per week on average, compatible with full-time work.
You work with MoveIt 2, OMPL, RoboDK, ABB RobotStudio and Siemens Process Simulate. Free, academic or evaluation versions are used, and the tutor indicates a free alternative where one exists.
A SEIUM diploma upon passing continuous assessment and the integrating project. This is in-house training, not an official qualification from the Ministry.
Yes. Modules passed in a course or postgraduate diploma in the same area are credited towards the higher programme. Check the credit transfer policy when you enrol.
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