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Control Systems Design, SC4026 SC4026 Fall 2010, dr. A. Abate, DCSC, TU Delft
 

Summary: Control Systems Design, SC4026
SC4026 Fall 2010, 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 2010, 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