Control¶
Currently, sympy.physics.control
is able to deal with LTI
(Linear, time-invariant) systems. The TransferFunction
class is used to
represent Continuous-time Transfer functions in the Laplace domain, while
DiscreteTransferFunction
represent Discrete-time Transfer functions in the
z-domain; where Transfer functions are input to output representations of
dynamic systems. The additive property is used for transfer functions in the
Parallel
class, and the multiplicative property is used for transfer
functions in the Series
class.
Also, there is a Feedback
class which is used to represent negative feedback
interconnection between two input/output systems. MIMO systems are also
supported with TransferFunctionMatrix
as the base class for representing one.
MIMOSeries
, MIMOParallel
and MIMOFeedback
are MIMO equivalent of
Series
, Parallel
and Feedback
classes.
Alongside Transfer functions representations, the StateSpace
class can be used
to model state-space systems. The StateSpace
class supports
various methods for analyzing and manipulating systems, such as controllability,
observability, and transformations between state-space and transfer function
representations. MIMO state-space systems are also supported, making this module
versatile for dealing with a wide range of control system problems.
The advantage of this symbolic Control system package is that the solutions obtained from it are highly accurate and do not rely on numerical methods to approximate the solutions. Symbolic solutions obtained are also in a compact form that can be used for further analysis.