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Class Signals and Systems

  • Presentation

    Presentation

    This course aims to provide the student with knowledge/skills to analyze dynamic systems (continuous, SISO, linear and time invariant). Using knowledge already acquired in other curricular units about Laplace transform, laws of motion, laws of analysis of electrical circuits, thermodynamics and hydraulics, the student will study the temporal and frequency behavior of physical systems of different natures and define measures to change this behavior.
  • Code

    Code

    ULP732-7339
  • Syllabus

    Syllabus

    Study signals and systems and characterization of continuous, linear and time invariant systems. Laplace Transform and brief reference to the study of periodic signals and Fourier series. Construction and manipulation of block diagrams. Algebra of block diagrams. Obtaining the transfer function of closed loop systems. Modeling dynamic systems. Electrical systems. Translation mechanical systems. Rotation mechanical systems. Hydraulic systems. Thermal systems. Analysis of systems in the time domain. Study of the transient and permanent regime. Analysis of 1st and 2nd order systems. Routh-Hurwitz Stability Criterion. Analysis of feedback systems in time domain.                Frequency domain systems analysis. Bode diagrams. PID controllers.
  • Objectives

    Objectives

    The course unit Signals and Systems aims to provide students with the necessary skills to mathematically model a physical system, study its behavior in time and frequency domain and define control systems capable of improving this behavior. In addition to these technical skills the student should also be able to use MATLAB/OCTAVE to analyze linear systems.
  • Teaching methodologies and assessment

    Teaching methodologies and assessment

    The introduction of concepts is accompanied by the description of real systems used in everyday life, using the expository and interrogative method. Each chapter ends with a synthesis/debate involving student participation, in which various active method techniques are used, such as brainstorming and case studies.The last week of classes is dedicated to a synthesis/debate of the material taught involving student participation, again using the active method. The aim of this type of approach is to develop students' critical thinking. For these teaching practices to be successful, it is advisable for students to prepare the content of the modules to be taught beforehand.
  • References

    References

      Ogata, K. (2009).   Upper Saddle River, NJ: Prentice Hall. Modern control engineering.  Franklin, G. F., Powell, J. D., & Emami-Naeini, A. (2014). Feedback control of dynamic systems. Prentice Hall Press.  
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