STATE SPACE: INPUT-STATE REPRESENTATIONS, INTERCONNECTION OF SYSTEMS, TRANSITION MATRIX, EXPONENTIAL OF A MATRIX, FROM TRANSFER FUNCTION TO STATE SPACE AND VICE-VERSA, COORDINATE TRANSFORMATION, EGINEVALUES, MODAL ANALYSIS, STRUCTURAL PROPERTIES, ASYMPTOTIC OBSERVER, EIGENVALUES ASSIGNEMENT, SEMPARATION PRINCIPLE, OUTPUR REGULATION, OPTIMAL CONTROL.
DISCETE TIME SYSTEMS: DISCRETE IMPLEMENTATION OF FEEDBACK CONTROL SYSTEM. HARDWARE CHARACTERISTICS, D/A AND A/D CONVERSION. SAMPLING AND RECONSTRUCTION, SHANNON THEOREM. DIFFERENCE EQUATIONS, Z TRANSFORM, MODES, STABILITY. APPROXIMATE METHODS. SYNTHESIS OF CONTROL SYSTEMS.
DISCETE TIME SYSTEMS: DISCRETE IMPLEMENTATION OF FEEDBACK CONTROL SYSTEM. HARDWARE CHARACTERISTICS, D/A AND A/D CONVERSION. SAMPLING AND RECONSTRUCTION, SHANNON THEOREM. DIFFERENCE EQUATIONS, Z TRANSFORM, MODES, STABILITY. APPROXIMATE METHODS. SYNTHESIS OF CONTROL SYSTEMS.
teacher profile teaching materials
Optimizing integral indices: the Eulero-Lagrange equation. Constrained Optimization. minimum energy control. Riccati Equations.
Discrete-time systems. Controller implementation via microcontrollers. hardware and A/D D/A converters. Samplers and holders. Sampling theorem. Difference equations. Z transform. stability of discrete systems. Approximated methods.
D. G. Luenberger, Introduction to Dynamic systems, Theory Models & Applications, Wiley
Programme
Elements of non-linear systems. Lyapunov Stability. Linearization. Feedback linearization. Optimal control.Optimizing integral indices: the Eulero-Lagrange equation. Constrained Optimization. minimum energy control. Riccati Equations.
Discrete-time systems. Controller implementation via microcontrollers. hardware and A/D D/A converters. Samplers and holders. Sampling theorem. Difference equations. Z transform. stability of discrete systems. Approximated methods.
Core Documentation
handouts provided by the teacher.D. G. Luenberger, Introduction to Dynamic systems, Theory Models & Applications, Wiley
Reference Bibliography
handouts provided by the teacher. D. G. Luenberger, Introduction to Dynamic systems, Theory Models & Applications, WileyType of delivery of the course
Frontal lessons (70%). Exercises on the blackboard and with the computer using Matlab language or similar (30%).Attendance
lesson attendance is optionalType of evaluation
The comprehension of the topics of the course is assessed via an oral exam. The oral exam consists of two-three questions, which can be theoretical (e.g., demonstrations or presentation of the features of control schemes) or practical (e.g., exercises).