Communications for Control in Cyber Physical Systems

Chapter 3

Basics of control

Abstract

This chapter provides a brief introduction to control systems. Models of control systems are introduced, such as differential equations and discrete models. The observability and controllability of systems are explained. Finally, a typical control strategy, linear quadratic control, is discussed.

Keywords

Dynamical system; Controllability; Observability; Optimal control; Linear systems; Hybrid systems

3.1 Introduction

In this chapter, we provide a brief introduction to control systems. We will cover the following aspects of control systems:

• Models of controlled dynamical systems: We will introduce differential equation-based modeling, particularly linear dynamics, of continuous-time systems, as well ...