Learning objectives
The course is focused on the study of the industrial robotic manipulators. More precisely, the kinematics and the dynamics of robotic manipulators are deeply investigated. The trajectory planning problem is analyzed and several planning schemes are proposed.
Prerequisites
Suggested prerequisites:
Controlli Automatici
Course unit content
- Introduction to industrial robotics (1 hour)
Basic concepts on the mechanics and control of robotic manipulators.
- Reference systems and transformations (9 hours)
Description of joints positions and orientations. The rotational matrix. Translational and rotational operators. Minimum-order orientation notations: Fixed angles, Euler angles, angle-axis representation, Euler parameters. Computational considerations.
- Direct kinematics (4 hours)
Classification and description of robotic joints. Description of the links position and orientation: the modified Denavit-Hartenberg notation. The homogeneous transformation matrix. Joint space, operational space and manipulator workspace.
- Inverse kinematics (6 hours)
The solvability of the inverse kinematics problem. Geometric and algebraic solutions.
- Differential kinematics and static forces (12 hours)
Rigid bodies linear and angular velocities. The Jacobian matrix and its properties. Manipulator static forces: the forward recursive algorithm and the Jacobian approach.
- Dynamics (4 hours)
The inertia tensor matrix. Bodies center of mass. Inverse dynamics: the Newton-Euler backward recursive formulation. Direct dynamics: solution by means of simulation programs.
- Trajectory planning (8 hours)
Joint space trajectories. Point-to-point and multipoint trajectory generation using cubic polynomials. Point-to-point and multipoint trajectory generation using linear-quadratic functions. Operational space trajectories. Kinematics singularities.
Full programme
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Bibliography
C. Guarino Lo Bianco, `` Analisi e controllo dei manipolatori industriali“, seconda edizione, Pitagora editrice, Bologna,Italia 2011.
L.Sciavicco e B.Siciliano, ``Robotica industriale: modellistica, pianificazione e controllo'', terza edizione, McGraw-Hill Italia, 2008.
J.Craig, ``Introduction to Robotics'', terza edizione, Pearson, 2005.
Teaching methods
Oral lessons,
Several exercitations are scheduled in the Didactical Lab in order to simulate the control of an industrial manipulator.
Assessment methods and criteria
The final test is divided into two written parts: in the first part the student must solve the direct and the inverse kinematics of a manipulator, while in the second part he must answer to questions concerning the course theoretical arguments.
Several intermediate tests are carried out during the lessons period.
The final grade is obtained by averaging the marks of the two parts. The final grade can be integrated by means of additional points acquired during the Lab activity.
Other information
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2030 agenda goals for sustainable development
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