State Space Representation
State Space Representation is a mathematical model used to describe dynamic systems. It represents a system's state using a set of variables, known as state variables, which capture the system's current condition. This approach allows for the analysis and design of control systems by providing a framework to understand how inputs affect outputs over time.
In this representation, the system is typically expressed in terms of linear equations. The state space model consists of two main equations: the state equation, which describes how the state evolves, and the output equation, which relates the state to the output. This method is widely used in fields like control theory and engineering.