An Introduction to Modern Control

The following sections are included:

• Introduction

• The State Variables Formalism

• Solving Matrix Differential Equations

• The Significance of the Eigenvalues of the Matrix

• Understanding Homogeneous Matrix Differential Equations

• Understanding Inhomogeneous Equations

• The Cayley-Hamilton Theorem

• Controllability

• Pole Placement

• Observability

• Examples

  • Pole Placement

  • Adding an Integrator

  • Modern Control Using MATLAB

  • A System that is not Observable

  • A System that is neither Observable nor Controllable

• Converting Transfer Functions to State Equations

• Some Technical Results about Series of Matrices

• Exercises