Summary: Control Systems Design, SC4026
SC4026 Fall 2011, dr. A. Abate, DCSC, TU Delft
Lecture 4
· Controllability (a.k.a. Reachability) and Observability
· Algebraic Tests (Kalman rank condition & Hautus test)
· A few Examples
· Duality
· Lack of Controllability and of Observability
SC4026 Fall 2011, dr. A. Abate, DCSC, TU Delft 1
Controllability
· Consider
d
dt
x(t) = Ax(t) + Bu(t), x(0) = x0 Rn
· with known solution
x(t) = eAt
x0 +
t
0
eA(t-)

Source: Abate, Alessandro - Faculty of Mechanical, Maritime and Materials Engineering, Technische Universiteit Delft

Collections: Engineering