The state space in problems of designing optimal control systems
The study of the time-domain control system using state variables has been widely used recently due to the simplicity of the analysis.
The state of the system corresponds to a point in a certain Euclidean space, and the behavior of the system in time is characterized by the trajectory described by this point.
In this case, the mathematical apparatus includes ready solutions for analog and discrete LQR and DLQR controllers, the Kalman filter, and all this with the use of matrices and vectors, which makes it possible to write the equations of the control system in a generalized form, obtaining additional information when solving them.
The purpose of this publication is to consider the solution of the problems of designing optimal control systems by describing the state space using Python software.
Python Control Systems Library.
2. Mark Wilfried Mueller LQR Controllers with Python.
3. EVNikulchev. The manual "Control System Toolbox"
Synthesis of optimal control with full feedback.