.Modelica_LinearSystems2

Information

Library Modelica_LinearSystems2 is a Modelica package providing different representations of linear, time invariant differential and difference equation systems. For example, record StateSpace defines a linear time invariant differential equation system in state space form:

der(x) = A * x + B * u
    y  = C * x + D * u

Operators are overloaded to work conveniently with these system descriptions in an interactive environment, e.g. to multiply transfer functions or to operate on complex numbers. About 230 functions are provided to operate on these data structures, e.g. to compute eigenvalues, zeros, step responses, to design pole-placement and LQG controllers, to plot step responses, frequency responses, eigenvalues, to convert between different description forms, or to generate a linear system description by linearization of a Modelica model.

Furthermore, in subpackage Controllers about 20 input/output blocks of linear systems are provided that are based on the different representation forms, e.g. PID, StateSpace or Filter blocks. A unique feature of these blocks is that it is very convenient to quickly switch between a continuous and a discrete block representation. Also, templates are provided to quickly built-up standard controller structures.

For an introduction, have especially a look at:

It is planned to include this library in a future version of the Modelica Standard Library.

For copyright and BSD 3-clause license, see Copyright and License agreement.

Modelica® is a registered trademark of the Modelica Association.

Contents

NameDescription
UsersGuideUser's Guide
ModelAnalysisPackage of functions to perform analysis on Modelica models (nonlinear models are linearized)
ExamplesPackage of examples to demonstrate the usage of functions from the library
StateSpaceContinuous state space description of a linear, time invariant differential equation system (data + operations)
ZerosAndPolesContinuous zeros and poles description of a single input, single output system (data + operations)
TransferFunctionContinuous transfer function description of a single input, single output system (data + operations)
DiscreteStateSpaceDiscrete state space description of a linear, time invariant difference equation system (data + operations)
DiscreteZerosAndPolesDiscrete zeros and poles description of a single input, single output system (data + operations)
DiscreteTransferFunctionDiscrete transfer function description of a single input, single output system (data + operations)
 ControllersPackage of continuous and discrete input/output blocks
MathPackage of additional functions for Modelica.Math
 ComplexMathAddsLibrary of additional complex mathematical functions and of functions operating on complex vectors and matrices
UtilitiesPackage of utility elements used in the library
InternalPackage of internal utilities of the library (for advanced users only)
RecordsPackage of records, especially to build menus
WorkInProgressPackage for developments and internal models

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