Ingegneria Elettronica | FUNDAMENTALS OF AUTOMATIC CONTROL

cod. 0612400014

FUNDAMENTALS OF AUTOMATIC CONTROL

	0612400014
	DIPARTIMENTO DI INGEGNERIA INDUSTRIALE
	EQF6
	ELECTRONIC ENGINEERING
	2020/2021

PERCORSO IN COMMON

	OBBLIGATORIO
	YEAR OF COURSE 2
	YEAR OF DIDACTIC SYSTEM 2018
	PRIMO SEMESTRE

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	ING-INF/04	6	60	LESSONS	COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS

	Objectives
	EXPECTED LEARNING OUTCOMES AND COMPETENCE TO ACQUIRE THE COURSE AIMS AT LEARNING METHODS FOR ANALYSIS OF CONTINUOUS AND DISCRETE TIME DYNAMIC SYSTEMS, IN VARIOUS DOMAINS (TIME, COMPLEX VARIABLE, FREQUENCY). IT ALSO PROVIDES PROJECT PLANNING SKILLS FOR DYNAMIC SYSTEM CONTROLLERS. KNOWLEDGE AND UNDERSTANDING SKILLS CONTINUOUS TIME LINEAR DYNAMIC SYSTEM MODELS, LAPLACE TRANSFORMED MODELS, FREQUENCY DIAGRAMS, TRANSFER FUNCTIONS, FEEDBACK CONTROL SYSTEMS, DISCRETE TIME LINEAR DYNAMIC SYSTEM MODELS, ZETA TRASFORMED MODELS, SAMPLED DATA SYSTEMS, INTERPRETATION OF STEADY STATE AND TRANSIENT PERFORMANCE SPECIFICATIONS, CLOSED LOOP AND OPEN LOOP MODELS, NICHOLS CHART, ROOT LOCUS, STANDARD CONTROLLERS, AND DIGITAL CONTROL SYSTEMS. APPLIED KNOWLEDGE AND UNDERSTANDING KNOW HOW TO CALCULATE THE FORCED AND FREE EVOLUTION OF LINEAR DYNAMIC SYSTEMS, TO BE ABLE TO CALCULATE THE STEADY STATE AND TRANSIENT OUTPUT OF A DYNAMIC SYSTEM, TO TRACE FREQUENCIES PLOTS, TO ANALYZE FEEDBACK CONTROL SYSTEMS, TO DESIGN DYNAMIC SYSTEM CONTROLLERS AND KNOW HOW TO EVALUATE PERFORMANCES. MAKING JUDGMENTS IDENTIFY THE BEST METHOD TO DERIVE THE RESPONSE OF LINEAR DYNAMIC SYSTEMS, PROPOSE THE BEST CONTROLLER TO SOLVE A CONTROL PROBLEM. COMMUNICATIVE SKILLS KNOW HOW TO ORALLY PRESENT A COURSE TOPIC, KNOW HOW TO WRITE A REPORT ON AN ANALYSIS OR PROJECT LEARNING SKILLS: KNOW HOW TO APPLY THE ACQUIRED KNOWLEDGE TO CONTEXTS DIFFERENT FROM THOSE PRESENTED DURING THE COURSE.

EXPECTED LEARNING OUTCOMES AND COMPETENCE TO ACQUIRE
THE COURSE AIMS AT LEARNING METHODS FOR ANALYSIS OF CONTINUOUS AND DISCRETE TIME DYNAMIC SYSTEMS, IN VARIOUS DOMAINS (TIME, COMPLEX VARIABLE, FREQUENCY). IT ALSO PROVIDES PROJECT PLANNING SKILLS FOR DYNAMIC SYSTEM CONTROLLERS.
KNOWLEDGE AND UNDERSTANDING SKILLS
CONTINUOUS TIME LINEAR DYNAMIC SYSTEM MODELS, LAPLACE TRANSFORMED MODELS, FREQUENCY DIAGRAMS, TRANSFER FUNCTIONS, FEEDBACK CONTROL SYSTEMS, DISCRETE TIME LINEAR DYNAMIC SYSTEM MODELS, ZETA TRASFORMED MODELS, SAMPLED DATA SYSTEMS, INTERPRETATION OF STEADY STATE AND TRANSIENT PERFORMANCE SPECIFICATIONS, CLOSED LOOP AND OPEN LOOP MODELS, NICHOLS CHART, ROOT LOCUS, STANDARD CONTROLLERS, AND DIGITAL CONTROL SYSTEMS.
APPLIED KNOWLEDGE AND UNDERSTANDING
KNOW HOW TO CALCULATE THE FORCED AND FREE EVOLUTION OF LINEAR DYNAMIC SYSTEMS, TO BE ABLE TO CALCULATE THE STEADY STATE AND TRANSIENT OUTPUT OF A DYNAMIC SYSTEM, TO TRACE FREQUENCIES PLOTS, TO ANALYZE FEEDBACK CONTROL SYSTEMS, TO DESIGN DYNAMIC SYSTEM CONTROLLERS AND KNOW HOW TO EVALUATE PERFORMANCES.
MAKING JUDGMENTS
IDENTIFY THE BEST METHOD TO DERIVE THE RESPONSE OF LINEAR DYNAMIC SYSTEMS, PROPOSE THE BEST CONTROLLER TO SOLVE A CONTROL PROBLEM.
COMMUNICATIVE SKILLS
KNOW HOW TO ORALLY PRESENT A COURSE TOPIC, KNOW HOW TO WRITE A REPORT ON AN ANALYSIS OR PROJECT
LEARNING SKILLS: KNOW HOW TO APPLY THE ACQUIRED KNOWLEDGE TO CONTEXTS DIFFERENT FROM THOSE PRESENTED DURING THE COURSE.

	Prerequisites
	THE FOLLOWING EXAMINATIONS ARE REQUIRED: MATEMATICA II. IN ADDITION, IT IS RECOMMENDED THAT IT HAS BEEN PREVIOUSLY ACQUIRED THE BASICS OF THE MATHEMATICAL ANALYSIS, WITH A PARTICULAR REFERENCE TO ALGEBRAIC STRUCTURES, MATRIX CALCULUS, DIFFERENTIAL EQUATIONS.

	Contents
	1. INTRODUCTION: PROBLEMI E CONTROL SYSTEMS AND PROBLEMS, OPEN-LOOP AND CLOSED-LOOP CONTROL SYSTEMS, SUPERVISION & AUTOMATION, MATRIX CALCULUS. 2. CONTINUOUS DYNAMIC SYSTEMS: STATE REPRESENTATION, SYSTEM CLASSIFICATION, BALANCE AND STABILITY PROPERTY 3. CONTINUOUS LINEAR AND TIME-INVARIANT SYSTEMS: LAGRANGE FORMULAS, EQUIVALENT STATE REPRESENTATION, SYSTEM CLASSIFICATION, BALANCE AND STABILITY PROPERTY, LINEARIZATION 4. ANALYSIS WITH THE TRANSFORMATION OF LAPLACE: DEFINITION AND PROPERTIES, RECALLS ON TRASFORMATION OF LAPLACE, REPRESENTATION OF TRANSFER FUNCTION, REPLY OF LINEAR SYSTEMS, FREE EVOLUTION, FORCED RESPONSE, STABILITY CRITERIA OF LINEAR SYSTEMS, STEP RESPONSE FOR LINEAR SYSTEMS OF FIRST AND SECOND ORDER, REALIZATION 5. BLOCK DIAGRAMS: RULES, SYSTEM STABILITY AND OBSERVABILITY 6. HARMONIC RESPONSE: THEORY OF HARMONIC RESPONSE, GRAPHIC REPRESENTATION OF HARMONIC RESPONSE: BODE DIAGRAM, POLARIAN DIAGRAM, NYQUIST DIAGRAM, DOMINANT POLE APPROXIMATION 7. TIME DELAY SYSTEM: PROPERTY, SYSTEM STABILITY, TRANSFER FUNCTION, HARMONIC RESPONSE 8. CONTROLLING IN FEEDBACK: OPERATION AND ADVANTAGES OF CONTROL IN FEEDBACK, SPECIFICATION FOR CONTROL SYSTEMS, CLOSED STABILITY SPECIFICATIONS, ROBUST STABILITY CRITERIA 9. PROJECT OF CLOSED LOOP CONTROL SYSTEMS: PROJECT APPROACHES IN TIME AND FREQUENCY DOMAIN 10. DISCRETE TIME DYNAMIC SYSTEMS: STABILITY, ANALYSIS WITH ZETA TRANSFORMATION, EVOLUTION MODES, STABILITY CRITERIA, TRANSFER FUNCTION 11. ROOTS LOCUS: DEFINITION AND PROPERTIES, TRACE RULES, ADOPTION OF ROOTS LOCUS FOR CONTROL SYSTEM ANALYSIS AND PROJECT

Contents

1. INTRODUCTION: PROBLEMI E CONTROL SYSTEMS AND PROBLEMS, OPEN-LOOP AND CLOSED-LOOP CONTROL SYSTEMS, SUPERVISION & AUTOMATION, MATRIX CALCULUS.
2. CONTINUOUS DYNAMIC SYSTEMS: STATE REPRESENTATION, SYSTEM CLASSIFICATION, BALANCE AND STABILITY PROPERTY
3. CONTINUOUS LINEAR AND TIME-INVARIANT SYSTEMS: LAGRANGE FORMULAS, EQUIVALENT STATE REPRESENTATION, SYSTEM CLASSIFICATION, BALANCE AND STABILITY PROPERTY, LINEARIZATION

4. ANALYSIS WITH THE TRANSFORMATION OF LAPLACE: DEFINITION AND PROPERTIES, RECALLS ON TRASFORMATION OF LAPLACE, REPRESENTATION OF TRANSFER FUNCTION, REPLY OF LINEAR SYSTEMS, FREE EVOLUTION, FORCED RESPONSE, STABILITY CRITERIA OF LINEAR SYSTEMS, STEP RESPONSE FOR LINEAR SYSTEMS OF FIRST AND SECOND ORDER, REALIZATION
5. BLOCK DIAGRAMS: RULES, SYSTEM STABILITY AND OBSERVABILITY
6. HARMONIC RESPONSE: THEORY OF HARMONIC RESPONSE, GRAPHIC REPRESENTATION OF HARMONIC RESPONSE: BODE DIAGRAM, POLARIAN DIAGRAM, NYQUIST DIAGRAM, DOMINANT POLE APPROXIMATION
7. TIME DELAY SYSTEM: PROPERTY, SYSTEM STABILITY, TRANSFER FUNCTION, HARMONIC RESPONSE
8. CONTROLLING IN FEEDBACK: OPERATION AND ADVANTAGES OF CONTROL IN FEEDBACK, SPECIFICATION FOR CONTROL SYSTEMS, CLOSED STABILITY SPECIFICATIONS, ROBUST STABILITY CRITERIA
9. PROJECT OF CLOSED LOOP CONTROL SYSTEMS: PROJECT APPROACHES IN TIME AND FREQUENCY DOMAIN
10. DISCRETE TIME DYNAMIC SYSTEMS: STABILITY, ANALYSIS WITH ZETA TRANSFORMATION, EVOLUTION MODES, STABILITY CRITERIA, TRANSFER FUNCTION
11. ROOTS LOCUS: DEFINITION AND PROPERTIES, TRACE RULES, ADOPTION OF ROOTS LOCUS FOR CONTROL SYSTEM ANALYSIS AND PROJECT

	Teaching Methods
	THERE IS A REQUIREMENT FOR A MINIMUM FREQUENCY OF ATTENDANCE, 70% OF THE TOTAL COURSE TIME, AND THE METHOD FOR DETERMINING THE ATTENDANCE RATE WILL BE THROUGH ELECTRONIC REGISTRATION (WITH THE BADGE) OF ATTENDANCE AT THE PREMISES WHERE THE BADGE READER IS PRESENT AND FUNCTIONING, OR BY MEANS OF ALTERNATIVE REGISTERS (PAPER OR ELECTRONIC) PREPARED BY THE TEACHER. THE MODULE INCLUDES THEORETICAL LESSONS (40 HOURS) AND CLASSROOM EXERCISES (20 HOURS).

Teaching Methods

THERE IS A REQUIREMENT FOR A MINIMUM FREQUENCY OF ATTENDANCE, 70% OF THE TOTAL COURSE TIME, AND THE METHOD FOR DETERMINING THE ATTENDANCE RATE WILL BE THROUGH ELECTRONIC REGISTRATION (WITH THE BADGE) OF ATTENDANCE AT THE PREMISES WHERE THE BADGE READER IS PRESENT AND FUNCTIONING, OR BY MEANS OF ALTERNATIVE REGISTERS (PAPER OR ELECTRONIC) PREPARED BY THE TEACHER.
THE MODULE INCLUDES THEORETICAL LESSONS (40 HOURS) AND CLASSROOM EXERCISES (20 HOURS).

	Verification of learning
	THE ACHIEVEMENT OF THE OBJECTIVES OF THE TEACHING IS CERTIFIED BY PASSING THE EVALUATION EXAM (VOTE EXPRESSED ON A MINIMUM POINT OF 18 AND MAXIMUM POINT OF 30 CUM LAUDE). THE EVALUATION WILL BE CARRIED OUT BY A WRITTEN TEST, OF AN AVERAGE DURATION OF 3 HOURS, AND AN ORAL TEST OF AN AVERAGE DURATION OF 30 MINUTES CARRIED OUT ON DIFFERENT DAYS. THE EXAM WILL AIM AT VERIFYING: 1) KNOWLEDGE AND UNDERSTANDING OF THE TOPICS COVERED IN FRONTAL TEACHING HOURS; 2) THE SKILLS ACQUIRED IN THE ABILITY TO ANALYZE AND SYNTHESIZE A CONTROL SYSTEM; 3) THE ABILITY TO DESCRIBE THE TOPICS DISCUSSED; 4) AUTONOMY OF JUDGMENT IN PROPOSING THE MOST APPROPRIATE APPROACH TO ARGUING WHAT IS REQUIRED. MORE IN DETAIL, THE WRITTEN TEST INVOLVES THE PERFORMANCE OF FIVE TYPES OF EXERCISES CONCERNING THE STUDY AND DISCUSSION OF THE PROPERTIES OF CONTINUOUS-TIME DYNAMIC SYSTEMS AND CONTROL SYSTEMS (FOR EXAMPLE, DETERMINATION OF THE INTERNAL AND EXTERNAL REPRESENTATION OF A DYNAMIC SYSTEM, OF PROPERTIES OF STABILITY AND OBSERVABILITY, OF THE FREE AND FORCED EVOLUTION OF THE OUTPUT, OF THE ROBUST STABILITY PROPERTIES AND OF THE PERFORMANCE OF A CONTROL SYSTEM). A LEVEL OF SUFFICIENCY OF THE WRITTEN TEST IS UNDERSTOOD TO BE ACHIEVED WITH THE CORRECT PERFORMANCE OF THREE OF THE FIVE TYPES OF EXERCISE PROPOSED, WHILE THE EVALUATION OF EXCELLENCE IS OBTAINED WITH THE CORRECT PERFORMANCE OF ALL TYPES OF EXERCISE WITH IDENTIFICATION OF THE LINKS BETWEEN THEM. THE ORAL EXAM INCLUDES TWO QUESTIONS ON THE TOPICS COVERED DURING THE LECTURES. A SUFFICIENCY LEVEL OF THE ORAL TEST IS UNDERSTOOD TO BE REACHED WITH THE CORRECT ARGUMENTATION OF THE ANSWER TO EACH OF THE TWO QUESTIONS, WHILE THE EVALUATION OF EXCELLENCE IS OBTAINED BY DEMONSTRATING THE DEEPENING OF THE TOPICS THROUGH THE DISCUSSION OF THE IMPLEMENTATION OF THE SOLUTIONS TO THE CONTROL PROBLEM THROUGH THE TECHNIQUES OF NUMERICAL CALCULATION PRESENTED DURING THE ASSISTED EXERCISES.

Verification of learning

THE ACHIEVEMENT OF THE OBJECTIVES OF THE TEACHING IS CERTIFIED BY PASSING THE EVALUATION EXAM (VOTE EXPRESSED ON A MINIMUM POINT OF 18 AND MAXIMUM POINT OF 30 CUM LAUDE). THE EVALUATION WILL BE CARRIED OUT BY A WRITTEN TEST, OF AN AVERAGE DURATION OF 3 HOURS, AND AN ORAL TEST OF AN AVERAGE DURATION OF 30 MINUTES CARRIED OUT ON DIFFERENT DAYS. THE EXAM WILL AIM AT VERIFYING: 1) KNOWLEDGE AND UNDERSTANDING OF THE TOPICS COVERED IN FRONTAL TEACHING HOURS; 2) THE SKILLS ACQUIRED IN THE ABILITY TO ANALYZE AND SYNTHESIZE A CONTROL SYSTEM; 3) THE ABILITY TO DESCRIBE THE TOPICS DISCUSSED; 4) AUTONOMY OF JUDGMENT IN PROPOSING THE MOST APPROPRIATE APPROACH TO ARGUING WHAT IS REQUIRED.
MORE IN DETAIL, THE WRITTEN TEST INVOLVES THE PERFORMANCE OF FIVE TYPES OF EXERCISES CONCERNING THE STUDY AND DISCUSSION OF THE PROPERTIES OF CONTINUOUS-TIME DYNAMIC SYSTEMS AND CONTROL SYSTEMS (FOR EXAMPLE, DETERMINATION OF THE INTERNAL AND EXTERNAL REPRESENTATION OF A DYNAMIC SYSTEM, OF PROPERTIES OF STABILITY AND OBSERVABILITY, OF THE FREE AND FORCED EVOLUTION OF THE OUTPUT, OF THE ROBUST STABILITY PROPERTIES AND OF THE PERFORMANCE OF A CONTROL SYSTEM).
A LEVEL OF SUFFICIENCY OF THE WRITTEN TEST IS UNDERSTOOD TO BE ACHIEVED WITH THE CORRECT PERFORMANCE OF THREE OF THE FIVE TYPES OF EXERCISE PROPOSED, WHILE THE EVALUATION OF EXCELLENCE IS OBTAINED WITH THE CORRECT PERFORMANCE OF ALL TYPES OF EXERCISE WITH IDENTIFICATION OF THE LINKS BETWEEN THEM.
THE ORAL EXAM INCLUDES TWO QUESTIONS ON THE TOPICS COVERED DURING THE LECTURES. A SUFFICIENCY LEVEL OF THE ORAL TEST IS UNDERSTOOD TO BE REACHED WITH THE CORRECT ARGUMENTATION OF THE ANSWER TO EACH OF THE TWO QUESTIONS, WHILE THE EVALUATION OF EXCELLENCE IS OBTAINED BY DEMONSTRATING THE DEEPENING OF THE TOPICS THROUGH THE DISCUSSION OF THE IMPLEMENTATION OF THE SOLUTIONS TO THE CONTROL PROBLEM THROUGH THE TECHNIQUES OF NUMERICAL CALCULATION PRESENTED DURING THE ASSISTED EXERCISES.

	Texts
	P. BOLZERN, R. SCATTOLINI, N. SCHIAVONI, FONDAMENTI DI CONTROLLI AUTOMATICI, MCGRAW-HILL, MILANO, IV ISSUE. FOR FURTHER DETAILS: F. BASILE, P. CHIACCHIO, LEZIONI DI AUTOMATICA VOLUME I, MAGGIOLI EDITORE, 8891603333, 2014. F. BASILE, P. CHIACCHIO, LEZIONI DI AUTOMATICA VOLUME II, MAGGIOLI EDITORE, 8838785260, 2013.

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