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 180 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 Controller about 20 input/output blocks of linear systems are provided that are based on the different representation forms, e.g. PID, StateSpace, 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.
Licensed by DLR under the 3-Clause BSD License
|Copyright © 2005-2012, DLR Institute of Robotics and Mechatronics
|Copyright © 2012-2021, DLR Institute of System Dynamics and Control
This Modelica package is free software and the use is completely at your own risk; it can be redistributed and/or modified under the terms of the 3-Clause BSD license, see the license conditions (including the disclaimer of warranty) in the User's Guide.
Modelica® is a registered trademark of the Modelica Association.
|Package of functions to perform analysis on Modelica models (nonlinear models are linearized)
|Package of examples to demonstrate the usage of functions from the library
|Continuous state space description of a linear, time invariant differential equation system (data + operations)
|Continuous zeros and poles description of a single input, single output system (data + operations)
|Continuous transfer function description of a single input, single output system (data + operations)
|Discrete state space description of a linear, time invariant difference equation system (data + operations)
|Discrete zeros and poles description of a single input, single output system (data + operations)
|Discrete transfer function description of a single input, single output system (data + operations)
|Package of continuous and discrete input/output blocks
|Package of additional functions for Modelica.Math
|Package of utility elements used in the library
|Package of internal utilities of the library (for advanced users only)
|Package of type definitions
|Records, especially to build menus
|Package for developments and internal models