The control systems can be represented with a set of mathematical equations known as mathematical model. These models are useful for analysis and design of control systems. Analysis of control system means finding the output when we know the input and mathematical model.
In control system design the most common mathematical models of the behavior of interest are, in the time domain, linear ordinary differential equations with constant coefficients, and in the frequency or transform domain, transfer functions obtained from time domain descriptions via Laplace transforms.
The control systems can be represented with a set of mathematical equations known as mathematical model. These models are useful for analysis and design ofÂ
Why Do We Model Systems?
Modeling allows one to analyze a system without actually constructing the physical system. It is not always ideal to analyze a physical system for v… State-Space Representation of Differential Equations
In control systems, state-space representation is a representation of a dynamic system that is achieved by breaking down high-order differential equations into … Solving State-Space Equations Numerically
With the state-space formatted differential equation, initial conditions of the state variables, and any input signals to the system, it is possible solve for t… Linearization
Through the process of Linearization, a nonlinear model is represented as a linear model through use of linear approximation. 