Chapter 6, Problem 6.24E

Interpretation Introduction

Interpretation:

The matrices $A,B,C,\text{ and }E$ are to be determined using the state-space notation.

Concept introduction:

State-space models provide a useful and compact representation of the dynamic system. Linear state-space model is represented as:

$\begin{array}{c}\dot{x}=Ax+Bu+Ed\\ y=Cx\end{array}$

Here, $x$ is the state vector, $u$ is the input vector of the manipulated variable, $d$ is the disturbance vector, $y$ is the output vector of the measured variable, and $\dot{x}$ is the time derivative of $x$. Elements of $x$ are the state variables.