Calculus I Calculus II Linear Algebra Programming

With this subject the students are aimed to acquire basic knowledge on analysis and control of dynamic systems in continuous time, with application to aerospace systems. The study of the behavior of the systems will be carried out by means of the classic control theory.

CE.TE.VA4: Adequate and applied engineering knowledge of: The physical phenomena of flight, its qualities and control, aerodynamic, and propulsive forces, performances, stability. CE.TE.PA1: Adequate knowledge applied to engineering of: the methods of calculation and development of propulsion systems installations; the regulation and control of propulsion systems installations; the use of experimental techniques, equipment and measuring instruments specific to the discipline; the fuels and lubricants used in aviation and automotive engines; the numerical simulation of the most significant physical-mathematical processes; aerospace engine maintenance and certification systems. RA4: Graduates will be able to carry out initial research methods approaches commensurate with their level of knowledge involving literature searches, design and execution of experiments, data interpretation, selection of the best proposal and computer simulation. RA5: Be able to apply their knowledge and understanding to solve problems and design devices or processes in the field of aerospace engineering in accordance with criteria of cost, quality, safety, efficiency and respect for the environment.

1. Laplace transform 1.1. Definition 1.2. Properties 1.3. Inverse transform 2. System modeling: transfer function 2.1. Definition of the transfer function 2.2. Solution of the dynamics of a system through the transfer function 2.3. Limitations of the transfer function 3. System modeling: state space 3.1. Definition of the state space 3.2. Solution of the state equation 3.3. Cannonical forms of the state space 3.4. Transformation between state space and transfer function 4. Stability and feedback: systems characterization 4.1. Definition of stability for a dynamic system 4.2. Variables for the stability analysis of a dynamic system 5. Stability and feedback analysis in time domain 5.1. Definition of stability in the time domain 5.2. Methods for stability analysis in the time domain 6. Stability and feedback analysis in frequency domain 6.1. Definition of stability in the frequency domain 6.2. Methods for stability analysis in the frequency domain 7. Aircraft systems fundamentals 7.1. Control system for an aircraft 7.2. Sensors and actuators in an aircraft 7.3. Quality factors characterizing the aircraft dynamics 7.4. Properties of a control loop for the aircraft 8. Aircraft dynamics (I) 8.1. Longitudinal model of an aircraft 8.2. Longitudinal modes of an aircraft 9. Aircraft dynamics (II) 9.1. Lateral model of an aircraft 9.2. Lateral modes of an aircraft 10. PID controllers: design methods 10.1. Definition of a PID controller 10.2. Effects of the PID control actions 10.3. Desing of PID controllers: empirical and analytical methods 11. Nonlinear systems: describing function 11.1. Definition of the describing function 11.2. Characteristics of the describing function 12. Nonlinear systems: stability analysis (I) 12.1. Analysis of the stability of the nonlinear system by the describing function in the frequency domain 13. Nonlinear systems: stability analysis (II) 13.1. Analysis of the stability of the nonlinear system by the phase plane in the time domain

- Master classes and reduced group sessions for resolution of problems. - 4 Laboratory sessions using software Matlab with personal work of the student; oriented to the acquisition of practical abilities related to the program of the subject. - Personal tutorial sessions in the times published in Aula Global.