Advanced Automatic Control

Vito CALDERARO Advanced Automatic Control

0622400010
DIPARTIMENTO DI INGEGNERIA INDUSTRIALE
EQF7
ELECTRONIC ENGINEERING
2020/2021



OBBLIGATORIO
YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2018
PRIMO SEMESTRE
CFUHOURSACTIVITY
990LESSONS
Objectives
ANALYSIS AND DESIGN OF CONTINUOUS AND DISCRETE TIME DETERMINISTIC AND STOCHASTIC CONTROL SYSTEMS.
LEARNING OF MOST MODERN METHODOLOGIES OF DYNAMIC SYSTEM CONTROLLER DESIGN
KNOWLEDGE AND UNDERSTANDING ABILITY
ADVANCED TECHNIQUES FOR THE CONTROL OF DYNAMIC SYSTEMS. ANALYSIS OF NONLINEAR SYSTEMS. OPTIMAL CONTROL.
KNOWLEDGE AND UNDERSTANDING
KNOWING HOW TO DESIGN EXCELLENT CONTROLLERS FOR LINEAR DYNAMIC SYSTEMS. TO BE ABLE TO ANALYZE LINEAR AND NONLINEAR CONTROL SYSTEMS.
AUTONOMY OF JUDGMENT
KNOWING HOW TO IDENTIFY THE MOST APPROPRIATE METHODS FOR FEEDBACK CONTROL OF DYNAMIC SYSTEMS AT ONE INPUT AND ONE OUTPUT.
COMMUNICATION SKILLS
KNOWING HOW TO EXPOSE A TOPIC OF THE COURSE ORALLY. KNOWING HOW TO WRITE A REPORT ON AN ANALYSIS OR A PROJECT CARRIED OUT.
KNOWLEDGE AND UNDERSTANDING ABILITY
BASIC OPTIMIZATION TECHNIQUES. ADVANCED TECHNIQUES FOR THE CONTROL OF DYNAMIC SYSTEMS. ANALYSIS OF NONLINEAR SYSTEMS. OPTIMAL CONTROL. STOCHASTIC SYSTEMS ANALYSIS
APPLIED KNOWLEDGE AND UNDERSTANDING ABILITY
KNOWING HOW TO DESIGN OPTIMAL CONTROLLERS FOR LINEAR SYSTEMS KNOWING HOW TO ANALYZE LINEAR AND NONLINEAR CONTROL SYSTEMS. KNOWING HOW TO IMPLEMENT OPTIMAL ESTIMATION ALGORITHMS
AUTONOMY OF JUDGMENT
KNOWING HOW TO IDENTIFY THE MOST APPROPRIATE METHODS FOR FEEDBACK CONTROL OF DYNAMIC MONOVARIABLE SYSTEMS .
COMMUNICATION SKILLS
KNOWING HOW TO EXPOSE A TOPIC OF THE COURSE ORALLY. KNOWING HOW TO WRITE A REPORT ON AN ANALYSIS OR A PROJECTCARRIED OUT.
ABILITY TO LEARN
KNOWING HOW TO APPLY THE ACQUIRED KNOWLEDGE TO DIFFERENT CONTEXTS FROM THOSE PRESENTED DURING THE COURSE, AND TO DEEPEN THEMTOPICS COVERED USING MATERIALS OTHER THAN THOSE PROPOSED.
.
Prerequisites
BASIC MATHEMATICS, WITH PARTICULAR REFERENCE TO LINEAR ALGEBRA COMPLEX ANALISYS, MULTIVARIABLE CALCULUS, BASIC CONCEPTS OF PROBABILITY IN ADDITION TO KNOWLEDGE ABOUT CLASSICAL CONTROLLER PROJECT METHODS AND TO THOSE OF ANALYSIS OF DETERMINISTIC AND RANDOM SIGNALS.
Contents
PART A (60 HOURS)
OPTIMAL CONTROL CONCEPT
MAXIMUM AND MINIMUM OF FUNCTIONS
UNCONSTRAINED OPTIMIZATION METHODS
EQUALITY CONSTRAINTS AND LAGRANGE MULTIPLIERS
MATHEMATICAL PROGRAMMING
CALCULUS OF VARIATIONS, EQUATIONS OF EULER LAGRANGE
OPTIMAL CONTROL IN THE ABSENCE OF CONSTRAINTS
THE MAXIMUM PRINCIPLE
OPTIMAL CONTROL PROBLEMS FOR DISCRETE TIME
BELLMAN'S PRINCIPLE AND DYNAMIC PROGRAMMING
HAMILTON JACOBI BELLMAN EQUATION
MINIMUM TIME CONTROL PROBLEMS , MINIMUM CONSUMPTION, MINIMUM ENERGY, MIXED PROBLEMS, SINGULAR SOLUTIONS.
LINEAR QUADRATIC OPTIMAL CONTROL PROBEMS: CONTINUOUS FORMULATION AND DISCRETE FORMULATION
INFINITE TIME PROBLEMS, OPTIMAL LQ REGULATORS SINTESYS
SPECTRAL PROPERTIES OF THE LQ REGULATORS,
HAMILTONIAN MATRIX AND FREQUENCY ANALYSIS
INTRODUCTION TO THE CONCEPTS OF ESTIMATING AND IDENTIFYING MODELS
LEAST SQUARES ESTIMATE, BATCH FORMULATION AND RECURSIVE FORMULATION, KALMAN FILTER
STOCHASTIC OPTIMAL CONTROL, DYNAMIC PROGRAMMING IN THE STOCHASTIC CASE, LQG REGULATORS
PART B (30 HOURS)
INTRODUCTION TO MATLAB AND SIMULINK
CONTROL SYSTEM TOOLBOX
ADVANCED CONTROL SCHEMES
OPEN LOOP REGULATORS, CASCADE REGULATORS, CONTROL OF UNSTABLE SYSTEMS
NON-LINEAR CONTROL SYSTEMS
PRELIMINARY CONSIDERATIONS
PERMANENT OSCILLATIONS: THE DESCRIPTIVE FUNCTION METHOD
ABSOLUTE STABILITY: CIRCLE AND POPOV CRITERIA
ANALYSIS OF NON-LINEAR SYSTEMS LYAPUNOV STABILITY STUDY
PID REGULATORS
DIRECT SYNTHESIS OF DIGITAL CONTROL SYSTEMS
REQUIREMENTS AND SPECIFICATIONS, SYNTHESIS THROUGH ROOT LOCUS
Teaching Methods
TEACHING INCLUDES THEORETICAL LESSONS, CLASSROOM EXERCISES AND EXERCISES INLABORATORY.
IN THE CLASSROOM ARE ASSIGNED, PERFORMED AND COMMENTED EXERCISES TO BE RESOLVED BY USING SCIENTIFIC CALCULATOR AND DIAGRAMS.
IN THE LABORATORY EXERCISED SIMULINK AND MATLAB WILL BE USED
Verification of learning
THE TEST OF EXAMINATION IS AIMED TO EVALUATE IN ITS COMPLEX: THE KNOWLEDGE AND THE
UNDERSTANDING OF THE CONCEPTS PRESENTED IN THE COURSE; THE ABILITY TO APPLY SUCH
KNOWLEDGE FOR THE RESOLUTION OF ANALYSIS AND CONTROL PROBLEMS OF DYNAMIC SYSTEMS;
THE JUDGMENT SKILLS, COMMUNICATION SKILLS AND LEARNING SKILLS
THE EXAM CONSISTS IN AN INTERVIEW
ORAL, WHOSE PURPOSE IS TO ASSESS THE KNOWLEDGE AND UNDERSTANDING SKILLS, THE
ABILITY TO LEARN DEMONSTRATED.
 
DURING THE ORAL INTERVIEW, THE STUDENT MUST PREVIOUSLY DESCRIBE THE PROJECT DEVELOPED DURING THE COURSE AND ITS PARTICULAR CONTRIBUTION IN THE CASE OF GROUP WORK. THE INTERVIEW WILL THEN BE ON ALL THE TOPICS OF THE COURSE AND THE EVALUATION WILL BE HELD
ACCOUNT OF KNOWLEDGE PROVEN BY THE STUDENT AND THE DEGREE OF THEM
DEEPENING, ABILITY TO LEARN DEMONSTRATED, OF QUALITY
EXPOSURE.
THE FINAL EVALUATION, EXPRESSED IN THIRTY YEARS, WILL DEPEND ON THE MATURITY ACQUIRED ON THE
CONTENTS OF THE COURSE, TAKING INTO ACCOUNT THE QUALITY OF THE EXHIBITION OF THE PROJECT
 AND THE AUTONOMY OF JUDGMENT DEMONSTRATED. THE PRAISE CAN BE ATTRIBUTED TO THE
STUDENTS WHO DEMONSTRATE THAT YOU KNOW HOW TO APPLY THE KNOWLEDGE ACQUIRED WITH AUTONOMY
ALSO IN CONTEXTS DIFFERENT FROM THOSE PROPOSED IN THE COURSE.
Texts
-R.F. STENGEL, OPTIMAL CONTROL AND ESTIMATION, DOVER PUBNS 1994, ISBN-13: 978-0486682006
-P. BOLZERN, R. SCATTOLINI, N. SCHIAVONI, FONDAMENTI DI CONTROLLI AUTOMATICI 4 ED , MCGRAW-HILL, MILANO,
2008, ISBN 978-88-386-6882-1.
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