LECTURE (0) Linear Control Systems Asoc. Prof. Alaa Hamdy Assist. Prof. Amr E. Mohamed It’s the 1st Lecture Syllabus Introduction to Control 2 Instructor Information Asoc. Prof. Alaa Hamdy • E-mail: • Office hour (Room 218): Saturday & Thursday Assist. Prof. Amr E. Mohamed • E-mail: [email protected] • Office hour (Room 218): Sunday & Wednesday TA Information … Course Information Name : Linear Control System Code : EEG431 Lecture Hrs. : 3, Tutorial Hrs. : 0, and Laboratory Hrs. : 2 3 Grading Attendance: 5 Fifth Week Exam: 5 Midterm Exam: 25 Final: 35 Quizzes: Assignments: Project: Participation: 30 Text Book: “Modern Control Engineering”, 5th Edition - Katsuhiko Ogata - 2009. 4 Week Lec. Items/Topics Assignments Chapter 1 Introduction 1 1 2 Course Description and Outline Control Systems History and Applications Control systems Classifications Control Systems Terminologies Assignment #1 Representation of Control Systems Examples of control systems Chapter 2 Mathematical Model of Systems 2 3 4 3 Differential Equations of Physical Systems: - D. E. of Electrical Components. 4 - D. E. of Mechanical Components 5 - D. E. of Electromechanical Components 6 Review of Laplace Transform. The Transfer Function of Linear Systems 7 Block Diagram Models 8 Signal Flow Graph Models Chapter 3 Feedback Control System Performance and Characteristics 9 5 10 Introduction Test Input Signals Response of First Order Systems Fifth week Exam Assignment #2.1 System Modeling, Laplace Transform and Transfer Function Assignment #2.2 Block Diagrams and Signal Flow Graph Models 5 11 Response of Second Order Systems Higher Order Systems Response 12 Steady State Errors of Feedback Control Systems 13 Stability Analysis Using Routh-Hurwitz Method 14 Sensitivity of Control Systems to Parameter Variations 6 7 Assignment #3.1 Order Response and Steady State Errors 2nd Chapter 4: Analysis and Design of Control Systems using Root Locus Method 15 Introduction Root Locus Construction 16 Root Locus Examples 17 Stability Analysis 18 Compensation and Controller Design using Root Locus Term Paper Assignment 8 9 Assignment #3.2 Stability Analysis and Sensitivity of Control Systems 19 10 Midterm Exam 20 6 Chapter 5: Analysis and Design of Control Systems using Frequency Response Method 21 11 Introduction Frequency Response Bode Plots Gain and Phase Margins 22 Stability Analysis Bandwidth and Cutoff Frequency Compensation and Controller Design in the Frequency Domain 23 Chapter 6: Practical Control Systems Applications 24 Antenna Azimuth Position Control System Control Systems History and Applications 12 Assignment #4 Root Locus Analysis and Design Chapter 7: State Space Representation of Control Systems 25 13 Introduction The State Variables of a Dynamic System 26 The State Differential Equation Alternative Block Diagram and Signal Flow Graph Models 27 The Transfer Function from the State Equation 28 The Time Response and the State Transition Matrix Term Paper Submission 14 29 15 30 Discrete Time Evaluation of The Time Response Term Paper Presentation Final Review Assignment #5 Frequency Domain Analysis and Design Assignment #6 State Space Representation 7 Upon successful completion of this course, the student should be able to: 1. Deduce mathematical models describing control system elements. 2. Represent a complete control system using transfer function approach. 3. Reduce control system transfer function using block diagram and signal flow graph models. 4. Calculate the transient and steady state response of feedback control systems. 5. Investigate the Stability of control systems. 6. Check the system stability in frequency domain. 7. Understand the root locus analysis and design of control systems. 8. Apply the analysis and design of Control system in frequency domain. 9. Represent, analyze and design of Control systems using State space approach. 10.Utilize the CAD tools (MATLAB package) to deal with all analysis and design issues of Control system. 8 9