Have a good understanding of how to calculate and analyze dynamic behavior of physical systems, including fundamental notions of dynamics like stability and transfer function.
Use and simplify block diagrams
Construct and interpret Bode diagrams and root locus diagrams
Understand the significance of controller actions (proportional, integral, derivative).
Apply methods of optimal tuning of PID controllers
There are no prerequisite modules. Students should have some basic knowledge of differential equations and mass and energy balances
DYNAMIC RESPONSE OF PHYSICAL SYSTEMS. First-order systems. Conn
ections of first order systems. Second-order systems. Time delay systems.
MATHEMATICAL METHODS FOR THE ANALYSIS OF
DYNAMIC SYSTEMS. Solution of linear vector differential equations with the exponential matrix method. Asymptotic stability of linear systems.Solution of linear differential
equations using Laplace transforms. Transfer function. Poles and zeros. Input/output stability. Frequency response calculation. Bode diagrams. Linearization of nonlinear dynamic systems. Local asymptotic stability –Lyapunov’s first method
FEEDBACK CONTROL SYSTEMS. Measuring devices. Final Control Elements. Controllers with proportional, integral and/or derivative actions (PID). Block diagram representation of a control system. Block diagram simplification. Closed loop transfer functions. State-space description of a closed loop system.
ANALYSIS AND DESIGN OF CONTROL SYSTEMS. Steady state error -significance of integral action. Sensitivity function. Closed loop stability analysis. Routh stability criterion. Bode stability criterion. Gain and phase margins. Root locus diagram. Calculation of performance criteria for control systems and optimization.
Κeywords -basic terms: dynamic system; input; output; dynamic response; transfer function; stability; feedback; controller; block diagram; closed loop system.
LECTURES: 3 h/w
RECITATION: 2 h/w
LAB/PRACTICE: 1 h/w
Total Module Workload (ECTS Standards):
1. Written lab reports (15% of the final mark).
2. Written examination (85% of the final mark)
1. N. Krikelis, “Introduction to Automatic Control”, Athens technical University Editions
2. R. C. Dorf and R. H. Bishop, “Modern Control Systems”, Prentice Hall
3. Νταουντίδης Π., Μαστρογεωργόπουλος Σ., Παπαδοπούλου Σ., “Έλεγχος Διεργασιών”, Εκδ. Τζιόλα