Cálculo y Ampliación de matemáticas

1. Know automatic control and control engineering and its application to robotics. 2. Acquisition of the ability to design control systems. 3. Acquisition of knowledge and understanding of control methods. 4. Acquisition of knowledge and understanding of the main mathematical tools used for the identification and modeling of systems and the ability to apply them. 5. Understanding of the operation of closed loop control systems. 6. Acquisition of technical and laboratory skills.

1. Introduction 2. Systems modeling a. Laplace transform b. Mathematical models c. Linearization d. Transfer function i. Blocks diagram ii. Mason's formula 3. Temporal analysis of systems. a. Introduction to temporal analysis. i. 1st order systems ii. 2nd order systems b. Reduced equivalent order systems. c. Stability analysis: Routh-Hurwitz criterion 4. Introduction to control systems. Errors in feedback systems. a. Control loop b. Errors and type of systems c. Sensitivity to disturbances 5. Temporal analysis of feedback systems. root locus. a. Root locus b. Inverse root locus c. Frontiers of the roots 6. Time domain PID regulators. a. PID control actions b. Temporal design of PIDs using the root locus c. Empirical PID tuning. Ziegler-Nichols methods 7. Frequency analysis of systems a. Frequency response of a system b. Bode plots 8. Frequency analysis of feedback systems to. a. Nyquist criterion. b. Relative stability: profit margin and phase margin. 9. Frequency design of PID regulators

- Master classes, doubt-solving classes in aggregate groups, individual tutorials and personal work by the student; oriented to the acquisition of theoretical knowledge (3 ECTS credits). - Laboratory practices and problem classes in small groups, individual tutorials and personal work of the student; Oriented to the acquisition of practical skills related to the course program (3 ECTS credits).