UUM 507E - Linear Control Systems)

Course Objectives

Introduction to modern control theory. Brief review of basic concepts of classical (conventional) control theory such as Laplace transformation, transfer function, system analysis in time domain, stability of system, Routh Hurwitz method, root locus method. State-space system descriptions. State variables, state-space and state-space form equations. Transformations of state-space systems. Eigenvalues and eigenvectors. Canonical forms and decoupled systems. Time response of state-space systems. State transition matrix and Laplace transform methods. Controllability and observability. Lyapunov stability analysis. State-space controller design. Pole placement method. Ackermann’s formula. State-space observer design. Design of servo systems. Optimal linear quadratic regulator systems. Design examples.

Course Description

Introduction to modern control theory. Brief review of basic concepts of classical (conventional) control theory such as Laplace transformation, transfer function, system analysis in time domain, stability of system, Routh Hurwitz method, root locus method. State-space system descriptions. State variables, state-space and state-space form equations. Transformations of state-space systems. Eigenvalues and eigenvectors. Canonical forms and decoupled systems. Time response of state-space systems. State transition matrix and Laplace transform methods. Controllability and observability. Lyapunov stability analysis. State-space controller design. Pole placement method. Ackermann’s formula. State-space observer design. Design of servo systems. Optimal linear quadratic regulator systems. Design examples.