Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Guide to ZigangPan`NonlinearSystems`
This paclet implementation of nonlinear system is a bit versatile than the one offered in Mathematica.
— check a given variable is in the special system representation (i.e., the ten-item list format).
— Do various operations on a LTI system in the special ten-item format. Such as:
View -- view the system in a table like format
Organize -- sort the state, input, and output names and list the system in a more organized way
Organize and View -- do both of above
Add active inputs
Add active outputs
Drop active inputs
Drop active outputs
Set active inputs
Set active outputs
Add control inputs
Drop control inputs
Add disturbance inputs
Drop disturbance inputs
....
State transformation -- do state transformation using the pure transformation function provided. new states = transformation[old states]. The inverse of the transformation (a pure function) may be supplied as the third argument.
Drop states
View -- view the system in a table like format
Organize -- sort the state, input, and output names and list the system in a more organized way
Organize and View -- do both of above
Add active inputs
Add active outputs
Drop active inputs
Drop active outputs
Set active inputs
Set active outputs
Add control inputs
Drop control inputs
Add disturbance inputs
Drop disturbance inputs
....
State transformation -- do state transformation using the pure transformation function provided. new states = transformation[old states]. The inverse of the transformation (a pure function) may be supplied as the third argument.
Drop states
— build a bigger system that consists of two nonlinear systems in block diagonal composition.
— concatenate two nonlinear systems in special format.
— parallel interconnect two nonlinear systems in special format such that they share the common active inputs.
— simulate an nonlinear system in feedback with a nonlinear controller and a nonlinear disturbance system.
— generate an empty nonlinear system in special format.
sivewavesystem
— convert a LTI system in the special ten-item list to an equivalent nonlinear system in the special ten-item list (not the same ten-item list).
— linearize a nonlinear system around an operating point, and gives the linearization as an LTI system in special ten-item list.
— calculate the relative degrees of a nonlinear system in the special format and determine whether it admits vector relative degree.
— do dynamic extension on a nonlinear system in special format to reach (uniform) vector relative degree.
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