Real-world dynamic systems exhibit nonlinear behavior. The continuous-time models that relate inputs and outputs of actual systems are (entirely or partially) composed of nonlinear algebraic and differential equations. We may well choose to employ a linear model as an approximation of a nonlinear system because it is far simpler to work with. A unified approach to solving nonlinear algebraic equations does not exist, to say nothing of nonlinear differential equations.
The principle of superposition states that if a system responds to inputs u1(t) and u2(t) with outputs y1(t) and y2(t), then the system’s response to a linear combination of the inputs u(t) = clu1(t) + c2u2(t) is y(t) = c1y1(t) + c2y2(t). Superposition is a ...
Get Simulation of Dynamic Systems with MATLAB® and Simulink®, 3rd Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
