MEEN 651 Summer 2004 1) Solution: The equation of the halfwave is given by T T cos(t ),  t x(t ) = 4 4 0, otherwise
Homework No. 1 June 11, 2004
.
The Fouier transform of a continuous signal is given by the formula
X ( ) =

x(t )e
T 4
 j t
dt
.
Ther
MEEN 411 Solutions to Exam 1 1) Figure (a) Figure (4)
Solutions to Midterm Exam
The phase of the system is asymptotic from 0 degrees to 90 degrees. The magnitude plot has a 20 dB rolloff. So it can be concluded that it is a first order system. Figure
MEEN 651 Control System Design Homework 0: Prerequisite Material
Assigned: Tuesday, 26 Aug. 2008 Due: Tuesday, 2 Sept. 2008, 5:00 pm
Note: This homework will not be graded for correctness. You score will be based on evidence of a reasonable attempt to so
MEEN 651 Control System Design Homework 1: Preliminary Mathematics and Modeling of Mechanical Systems Solution
Assigned: Tuesday, 4 Sept. 2007 Due: Tuesday, 11 Sept. 2007, 5:00 pm
Problem 1)
Show the following: a. That the Laplace Transform, X (s ) = x(t
MEEN 364 Lecture 5,7
Parasuram August 7, 2001
HANDOUT E.5  EXAMPLES ON MODELLING OF TRANSLATIONAL MECHANICAL SYSTEMS
A generalized procedure has been followed in all the examples in this handout to derive the governing differential equations of motion. N
Texas A & M University Department of Mechanical Engineering MEEN 651 Control System Design Dr. Alexander G. Parlos Fall 2003
Lecture 2A: Laplace Transforms
The objective of this lecture is to introduce the concepts and mathematics involved in the Laplace
Texas A & M University Department of Mechanical Engineering MEEN 651 Control System Design Dr. Alexander G. Parlos Fall 2003
Lecture 5A: Mixed Systems Electromechanical System Operation
The objective of this lecture is to give you some background on model
Texas A & M University Department of Mechanical Engineering MEEN 651 Control System Design Dr. Alexander G. Parlos Fall 2003
Lecture 9: Frequency Response Analysis Bode Plots of First and Second Order Systems
The objective of this lecture is to provide yo
Texas A & M University Department of Mechanical Engineering MEEN 651 Control System Design Dr. Alexander G. Parlos Fall 2003
Lecture 8: Dynamic Response of Linear Systems Impact of Pole & Zero Locations
The objective of this lecture is to provide you with
Texas A & M University
Department of Mechanical Engineering
MEEN 651 Control System Design
Dr. Alexander G. Parlos
Fall 2003
Lecture 16: Use of Bode Plots in Dynamic Compensation
The objective of this lecture is to complete the discussion on the use of Bo
MEEN 364
Parasuram June 29, 2001
HANDOUT A.6  USE OF EIGENVALUES IN SYSTEM STABILITY DETERMINATION
To determine the stability of a system using eigenvalues Let the model of a dynamic system in the state space form be given as x(t ) = Ax(t ) + Bu (t ) y (
MEEN 651
Lecture 15
Texas A&M University Department of Mechanical Engineering MEEN 651 Control System Design Dr. Alexander G. Parlos Fall 2003 Lecture 15: Compensation
Lead Compensation In order to alleviate the highfrequency amplification of PD compensa
MEEN 364 Lecture 19, 20
Parasuram August 25, 2001
HANDOUT E.19  EXAMPLES ON FEEDBACK CONTROL SYSTEMS
Example1 Consider the system shown below.
The open loop transfer function is given by G (s) = K . s ( s + 1)
The closed loop transfer function is K Y ( s
MEEN 364 Lecture 28
Parasuram Nov 24, 2001
HANDOUT E.28  EXAMPLE HANDOUT ON COMPENSATION USING ROOT LOCUS
Example 1: Design a lead compensation for the system given by the transfer function 1 , that will provide a closedloop damping > 0.5 and natural fr
MEEN 364 Lecture 13
Parasuram August 22, 2001
HADNOUT E.13  EXAMPLES ON TRANSFER FUNCTIONS, POLES AND ZEROS
Example 1 Determine the transfer function of the massspringdamper system. The governing differential equation of a massspringdamper system is
Texas A&M University Department of Mechanical Engineering MEEN 651 Control System Design Dr. Alexander G. Parlos Fall 2003 Lecture 5B: Thermal and Fluidic Systems
Basic Mechanisms of Heat Transfer Energy may be transferred across the boundaries of a syste
Texas A & M University Department of Mechanical Engineering MEEN 651 Control System Design Dr. Alexander G. Parlos Fall 2003
Lecture 7: Transfer Functions & Block Diagrams Poles and Zeros of Transfer Functions
The objective of this lecture is to introduce
MEEN 364
Parasuram July 6, 2001
HANDOUT A.2  LAPLACE TRANSFORMS NOTE: All the transformations have to be done using the analytical method outlined. MATLAB has to be used only to verify the result obtained.
Introduction The Laplace transform is the mathem
Texas A & M University Department of Mechanical Engineering MEEN 651 Control System Design Dr. Alexander G. Parlos Fall 2003
Lecture 2B: Sampling and Aliasing Phenomena, Sampling Rate Selection and Nyquist Frequency
The objective of this lecture is to int
MEEN 364 Lecture 8,9,7
Parasuram August 8, 2001
HANDOUT E.8  EXAMPLES ON MODELLING OF ELECTRICAL, ELECTROMECHANICAL SYSTEMS
Note that the time dependence of variables is ignored for all manipulations. Example 1: An electrical circuit Consider the circuit
MEEN 364 Lecture 6,7
Parasuram August 7, 2001
HANDOUT E.7  EXAMPLES ON MODELLING OF MECHANICAL SYSTEMS MIXED ROTATIONAL AND TRANSLATIONAL
Note that the time dependence of variables is ignored for all manipulations. Example 1: One DOF system Consider the
MEEN 364
Parasuram July 13, 2001
HANDOUT A.3  FORMULATING THE STATEVARIABLE FORM OF DYNAMIC SYSTEMS
Introduction Use of Newton's law and freebody diagram typically leads to second order differential equations, that is, equations that contain the second
MEEN 364 Lecture 6,7
Parasuram August 7, 2001
HANDOUT E.6  EXAMPLES ON MODELLING OF ROTATIONAL MECHANICAL SYSTEMS
Note that the time dependence of variables is ignored for all manipulations. Example 1: A single DOF system Consider a simple pendulum shown
Texas A & M University Department of Mechanical Engineering MEEN 651 Control System Design Dr. Alexander G. Parlos Fall 2003
Lecture 4B: Electrical and Electromagnetic System Components
The objective of this lecture is to review the fundamental components
Texas A & M University Department of Mechanical Engineering MEEN 651 Control System Design Dr. Alexander G. Parlos Fall 2003
Lecture 3A: Modeling of Translational Mechanical Systems
The objective of this lecture is to review the basic building blocks of l
Texas A & M University Department of Mechanical Engineering MEEN 651 Control System Design Dr. Alexander G. Parlos Fall 2003
Lecture 4A: Statespace Representation of Dynamic Systems
The objective of this lecture is to introduce you to the two distinct mo
Texas A & M University Department of Mechanical Engineering MEEN 651 Control System Design Dr. Alexander G. Parlos Fall 2003
Lecture 3B: Modeling of Rotational Mechanical Systems
The objective of this lecture is to review the basic building blocks of lump
MEEN 364 Lecture 17,18
Parasuram August 28, 2001
HANDOUT E.17  EXAMPLES ON BODE PLOTS OF FIRST AND SECOND ORDER SYSTEMS
Example 1 Obtain the Bode plot of the system given by the transfer function G( s) = 1 . 2s + 1
We convert the transfer function in the