
Control Systems
Graduate in
Computer Engineering
Academic year 2013/2014


The student will be able to understand, develop and simplify the
component block diagram of a single input and single output variable (SISO),
linear and time invariant (LTI) system

The student will be able to obtain the Laplace and Z transforms
for components whose behavior can be described with differential ecuations in
SISO and LTI systems

The student will be able to do a stability analysis for SISO and
LTI systems

The student will be able to analyze the transient behavior of
first and second order systems with constant coefficients

The student will be able to analyze the behavior of SISO and LTI
systems in permanent state

The student will be able to design control systems for SISO and
LTI plants
Previous
recommended courses
 Introduction
 Definition of a control system
 Open loop and closed loop systems
 SISO and MIMO systems
 Control strategy classification
 Laplace transform
 Definition
 Properties
 Transform tables
 Inverse transform
 Frequency systems response
 Z transform
 Definition
 Properties
 Transform tables
 Solving the Z transform through the convolution integral
 Inverse transform
 Difference equation associated to the Z transform
 Causality principle
 System simulation and controller programming
 Block diagrams
 Definitions
 Transformation theorems
 Reduction rules
 Transient mode in discrete systems
 First order systems
 Second order systems
 Permanent mode in discrete systems
 Stability
 Error
 Sensibility
 Tools and development environments for control systems
 Simulation tools
 Symbolic calculus tools
 Programming environments
 Control system design methods for SISO (LTI) sytems
 Direct design
 Introduction to classical control methods for SISO (LTI) systems
 Introduction to multivariable control systems
 State space representation
 Obtaining the state and output equations for SISO (LTI) systems from the
transfer function
 Solving the state equation of continuous linear systems
 Solving the state equation of discrete linear systems
 CayleyHamilton theorem
 Discrete model of a continuous system in the space state
 Asymptotic stability
 Lyapunov stability
 Controllability and observability of multivariable and LTI systems
 Design of MIMO controllers for LTI systems through state and output
feedback
 Introduction to other control methods for MIMO systems
Basic references
 "Modern control engineering". OGATA, K. Prentice Hall, 1990
 “Discretetime control systems”. OGATA, K. Prentice Hall, 1995
 “Digital Control of Dynamic Systems”. FRANKLIN, G., POWELL, J., WORKMAN,
M. AddisonWesley
 “Modern Control Theory”. BROGAN, W. Prentice Hall
 “Computer controlled systems”. ASTROM, K., WITTENMARK, B. Paraninfo, 1988
 “Feedback and control systems”. DISTEFANO, J., STUBBERUD, A., WILLIAMS, I.
McGrawHill
 “RealTime Systems and Programming Languages. BURNS, A., WELLINGS, A.
AddisonWesley
 “Ada 2005”. BARNES, J. AddisonWesley, 2006
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Updated on October 2, 2006 by Trinidad Riolobo Novalvos