Chapter 5 State Variables and State Equations
- Circuits that contain energy-storing devices (capacitor & inductor) result in integro-differential equations via KCL & KVL
- One energy-storing device = first order; Two energy-storing device = second order; so on
- A first order linear time-invariant circuit can be described by a differential equation of the form:
- An nth-order differential equation can be resolved to n first-order simultaneous differential equation with a set of auxiliary variables called state variables
- The resulting first order differential equations are called state-space equations or simply state equations
- State variables method can also be used on non-linear, time-varying devices
- State equations can also be solved with numerical methods such as Taylor series and Runge-Kutta methods
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