Interconnecting descriptor system models

append Building aggregate models by appending the inputs and outputs.
parallel Connecting models in parallel (also overloaded with +).
series Connecting models in series (also overloaded with *).
feedback Applying a static output feedback.
horzcat Horizontal concatenation of descriptor system models (also overloaded with [ * * ]).
vertcat Vertical concatenation of descriptor system models (also overloaded with [ *; * ]).

DescriptorSystems.append — Function

sys = append(systems...)

Append the descriptor systems systems by concatenating the input and output vectors of individual systems. This corresponds to the block diagonal concatenation of their transfer function matrices. Appending systems with constant matrices, vectors or scalars or with UniformScalings is also supported.

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DescriptorSystems.parallel — Function

sys = parallel(sys1, sys2) 
sys = sys1 + sys2

Connect the descriptor systems sys1 and sys2 in parallel such that sys = sys1 + sys2. This coupling corresponds to the addition of their transfer function matrices. Parallel coupling of systems with constant matrices or vectors having the same row and column dimensions or with UniformScalings is also supported. Parallel coupling with a constant is equivalent to elementwise parallel coupling of the transfer function matrix with the constant.

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DescriptorSystems.series — Function

 sys = series(sys1, sys2) 
 sys = sys2*sys1

Connect the descriptor systems sys1 and sys2 in series such that sys = sys2*sys1. This coupling corresponds to the multiplication of their transfer function matrices. Series coupling of systems with constant matrices and vectors having suitable dimensions or with UniformScalings is also supported. Series coupling with a constant is equivalent to elementwise multiplication of the transfer function matrix with the constant.

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DescriptorSystems.feedback — Function

 syscl = feedback(sys, K, inp1, out1; negative = true)

Build for a given descriptor system sys with input vector u and output vector y and a static output feedback gain K the closed-loop descriptor system syscl is constructed corresponding to the static output feedback u[inp] = -K*y[out] + v, where inp and out are are indices, vectors of indices, index ranges, : or any combinations of them. Only distinct indices can be specified. If negative = false, a positive feedback u[inp] = K*y[out] + v is used.

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DescriptorSystems.horzcat — Function

sys = horzcat(sys1,sys2)
sys = [sys1 sys2]
sys = horzcat(systems...)

Concatenate horizontally two systems sys1 and sys2 or several descriptor systems systems... by concatenating the input vectors of individual systems. This corresponds to the horizontal concatenation of their transfer function matrices. Concatenation of systems with constant matrices, vectors, or scalars having the same row dimensions or with UniformScalings is also supported.

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DescriptorSystems.vertcat — Function

sys = vertcat(sys1,sys2)
sys = [sys1; sys2]
sys = vertcat(systems...)

Concatenate vertically two descriptor systems sys1 and sys2 or several descriptor systems systems... by concatenating the output vectors of individual systems. This corresponds to the vertical concatenation of their transfer function matrices. Concatenation of systems with constant matrices, vectors, or scalars having the same column dimensions or with UniformScalings is also supported.

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