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add test for unitary similarity trasnform #621

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Merged
merged 1 commit into from
Jan 28, 2022
Merged

add test for unitary similarity trasnform #621

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6 changes: 3 additions & 3 deletions src/matrix_comps.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -586,11 +586,11 @@ D̃ = D
If `unitary=true`, `T` is assumed unitary and the matrix adjoint is used instead of the inverse.
"""
function similarity_transform(sys::ST, T; unitary=false) where ST <: AbstractStateSpace
Tf = factorize(T)
if unitary
A = Tf'sys.A*T
B = Tf'sys.B
A = T'sys.A*T
B = T'sys.B
else
Tf = factorize(T)
A = Tf\sys.A*T
B = Tf\sys.B
end
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10 changes: 10 additions & 0 deletions test/test_matrix_comps.jl
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Expand Up @@ -19,6 +19,16 @@ Ab,Bb,Cb,T = ControlSystems.balance_statespace(A,B,C)
@test Cb*T ≈ C

@test sysb.A ≈ Ab
@test similarity_transform(sysb, T) ≈ sys


U = svd(randn(2,2)).U
syst = similarity_transform(sys, U, unitary = true)
Ab,Bb,Cb,Db = ssdata(syst)
@test Ab ≈ U'A*U
@test Bb ≈ U'B
@test Cb ≈ C*U


@test ControlSystems.balance_transform(A,B,C) ≈ ControlSystems.balance_transform(sys)

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