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Chapter 4
Controller Synthesis
© National Instruments Corporation
4-13
Figure 4-6.  Perfplots for H
zv
singriccati( )
[P, solstat] = singriccati(A,Q,R {method})
The 
singriccati( )
 function solves the Indefinite Algebraic Riccati 
Equation (ARE):
The ARE is solved by decomposing the Hamiltonian:
The required decomposition of the Hamiltonian can be achieved using 
method="eig"
 or 
method="schur"
. The Schur decomposition is 
slower, but might handle some ill-conditioned problems. After solving the 
ARE, 
singriccati( )
 calculates the residue (A
T
PA – PRP Q). 
A warning is displayed if the residue is large. For an example of this 
function, refer to the Xmath Help.
A
P PA PRP
Q
+
+
0
=
A
R
Q
A