Lesson D Introduction to State-variable Models and Methods
State-variable models are widely used in controls, communications, and signal processing. This lesson provides a brief introduction to such models. To begin, it explains the notions of state, state variables, and state space. This culminates in what is meant by a state-variable model, a set of equations that describes the unique relations among a system’s input, output, and state.
Many state-variable representations can result in the same input/output system behavior. We obtain a number of important and useful state-variable representations for single-input, single-output, discrete, linear time-invariant systems, including moving average, autoregressive, and autoregressive moving ...