Modern Control Theory

Description

State space models of LTI continuous time systems. Single input – single output systems. Multivariable systems. Block diagrams and realizations of state space models. Examples. System equivalence and state space coordinate transformations. Examples. Eigenvalues and eigenvectors. Diagolalization of matrices and diagonalization of state space models by coordinate transformations. State space realizations of transfer functions. State space system responses. Unit impulse and unit step response of state space models. LTI systems. Free and forced response of state space models. Canonical forms of state space models. Controllability. Observaability. Controllability and Obserability criteria. Stabilization of state space models and decoupling zeros. Stability of state space models. Eigenvalue criteria for stability. Asymptotic and BIO stability. State feedback. Eigenvalue assignment by state feedback. Constant output feedback. State Observers and state reconstruction. Stabilization by state observers and state feedback. The separation principle.

Course Coordinators

Books: 
Εισαγωγή στην Μαθηματική Θεωρία Σημάτων, Συστημάτων και Ελέγχου, Τόμος Β. Μοντέρνα Θεωρία Ελέγχου του Α. Βαρδουλάκη.
Γραμμικά συστήματα αυτομάτου ελέγχου των E. Charles, G. Donald, L. James, J. Melsa, C. Rohrs, D. Schultz.
Linear Systems [electronic resource] των P. J. Antsaklis, A. N.
Semester: 
Units: 
3
Credit Units (ECTS): 
5.0
Hours: 
3ώρες
ID: 
0462
Course Type: 
X