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. 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 and DiscreteStateSpace classes can be used to model continuous and discrete state-space systems. They support 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.